Theory of Machines previous year question paper | 3341903 |

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Summer 2015 Theory of Machines Question Paper

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GUJARAT TECHNOLOGICAL UNIVERSITY
Diploma Engineering - SEMESTER–IV • EXAMINATION – SUMMER • 2015
Subject Code: 3341903  Date: 07-05-2015
Subject Name: Theory of Machines
Time: 10:30 am - 01:00 pm  Total Marks: 70

Instructions:
1.  Attempt all questions.
2.  Make suitable assumptions wherever necessary.
3.  Figures to the right indicate full marks.
4.  English version is considered to be Authentic.

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Q.1  Answer any seven out of ten.14

1.  Give examples of Lower pair and Higher pair.

2.  Expain in brief the difference between machine and mechanism.

3.  What is inversion of mechanism?

4.  Define linear and angular velocity.State relation between them.

5.  Explain in brief the mechanical advantage and velocity ratio.

6.  List the Inversions of a double slider crank mechanism.

7.  What is friction ? List types of friction.

8.  Define cam and state the function of cam.

9.  List the advantages of a gear drive.

10.  State the purpose of thrust bearing and its applications.

Q.2  (a)  Explain the graphical method for finding out the velocity and acceleration of the point D lying on the connecting rod.   03

OR

(a)  Explain the motion of a particle when it moves in curvilinear path showing its velocity and acceleration with suitable figure.   03

(b)  State the types of motion for the followers. Explain any one type of motion with the help of displacement diagram.  03

OR

(b)  Why roller  followers are prefered compared to knife- edge followers?  03

(c)  Draw the profile of the cam that gives a lift of 40 mm to a roller follower, dia.15 mm.  The axis of the follower passes through the center of the cam. The cam rotates in clockwise direction. The minimum radius of the cam is 30 mm.  The follower is to be lifted with simple harmonic motion during 1200of cam rotation, dwells for 300of the cam rotation in the lifted position,returns to initial position during 900of cam rotation with uniform velocity motion, and dwells for remaining degree of cam rotation.     04

OR

(c)  Draw the profile of a cam operating a knife-edge follower with the following data.Least radius of a cam = 25 mm.Lift of the follower = 50 mm.The cam lifts the follower for 1500with SHM followed by a dwell period of 30 Then follower lowers down during 1200of cam rotation with uniform acceleration and deceleration followed by a remaining dwell period.Assume clockwise  rotation of a cam.   04


(d)  Explain Klien s  construction for determining velocities and accelerations of various links of Slider Crank Mechanism with the help of sketch.   04

OR

(d)  In a four bar linkage ABCD , AD = 3.6 m. is fixed link. ,driving link AB = 0.6 m., driven link CD = 1.6 m. and link BC = 3 m. Angle BAD = 600. Link AB rotates at 40 rpm in clockwise direction, determine
(i)  Angular velocity of link BC
(ii)  Linear acceleration of point E lying on link BC at 2.5 m. from B.    04

Q.3  (a)  List the types of lubrications and discuss any one type of lubrication.   03

OR

(a)  State the Laws of friction and discuss the Laws of static friction.   03

(b)  Explain the difference between single plate clutch and multi plate clutch.  03

OR

(b)  Explain the construction and working of cone clutch with a neat sketch.  03

(c)  In a multicollar bearing there are 6 collars having internal and external  radiusof 40 mm and 60 mm respectively. The co-efficient of friction is 0.08 and it transmits 30 KN axial load. The shaft speed is 500 rpm. Assuming uniform wear, find power lost in friction.    04

OR

(c)  A vertical shaft is supported on foot step bearing having flat end.The dia. of shaft is 80 mm. and it rotates at 500 rpm.The axial load on the shaft is 12 KN and co-efficient of friction is 0.05.Assuming uniform pressure,calculate the power lost in friction.   04

(d)  Define dynamometer. Explain with neat sketch working of Rope Break Dynamometer.04

OR

(d)  Explain with neat sketch the construction and working of Differential Band Break.  04

Q.4  (a)  A compound gear train consist of 6 gear A,B,C,D,E and F.Gear A,B,C,D,and E have 80,40,50,25 and 50 teeth respectively. If the gear A and F havespeed of 40 rpm and 400 rpm respectively.  Find the number of teeth of gear F and draw neat sketch of the gear train.   03

OR

(a)  A  belt pulley with 500 mm. dia. rotates with 250 rpm and drives 240 mm wide, 7 mm. thick  belt. If the belt weight 1.01 gm/cm3. Find out the centrifugal tension in the belt.   03

(b)  Derive an expression to relate tight side and slack side tension in terms of co-efficient of friction and angle of contact for flat belt drive.   04

OR

(b)  Define the term “Train Value”. Explain the working of Epicyclic gear train with the help of neat sketch.   04

(c)  Find the necessary width and initial tension in the belt from the following details for the open flat belt drive.
Diameter of pulley = 550 mm.
Arc of contact = 3 rad.
Co-efficient of friction = 0.4
Power transmitted at 400 rpm = 4.0 KW.
Safe tension for belt [T] = 10N/mm width.   07

Q.5  (a)  Ann engine rotating at 110 rpm produces 330 KW power.Co-efficient of fluctuation of energy  is 0.2 and its speed has to be maintained within 6% of mean speed.Find out the mass of the flywheel having radius of gyration of 2.0 m.    07

(b)  Explain the balancing of several masses revolving in the same plane by analytical method.   07

(c)  Explain the principle and working of centrifugal governor with neat sketch.  03

(d)  Define vibration. Classify the vibrating system and explain any one with figure.    03

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Winter 2015 Theory of Machines Question Paper

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GUJARAT TECHNOLOGICAL UNIVERSITY
DIPLOMA ENGINEERING – SEMESTER – IV-EXAMINATION – WINTER 2015
Subject Code: 3341903  Date: 04/12/2015
Subject Name: Theory of Machine
Time: 02:30 PM TO 5:00 PM  Total Marks: 70

Instructions:
1.  Attempt all questions.
2.  Make Suitable assumptions wherever necessary.
3.  Figures to the right indicate full marks.
4.  Use of programmable & Communication aids are strictly prohibited.
5.  Use of only simple calculator is permitted in Mathematics.
6.  English version is authentic.

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Q.1 Answer any seven out of ten.14

1.  Define the following terms.(1) Link (2) Lower pair (3) Higher pair(4) Mechanism

2.  Differentiate between kinetics and kinematics.

3.  Give the four equation of angular motion.

4.  Sketch an Oldham’s Coupling.

5.  Draw a displacement Diagram for SHM Knife edge follower.

6.  Define Base circle and Pitch curve with appropriate figure.

7.  State the laws of friction.

8.  Explain the working of hydrodynamic lubrication.

9.  Define slip in belt drive and explain the effect of slip.

10.  Explained damped vibration.

Q.2  (a)  State the type of quick return motion mechanisms and explain any one with neat sketch.  03

OR

(a)  Sketch and explain any two inversions of a four bar chain.  03

(b)  Differentiate structure and machine with suitable example.  03

OR

(b)  Classify kinematic pair and explain any one with neat sketch.  03

(c)  With a neat sketch explain four bar chain mechanism and draw the velocity and acceleration diagram for the same based on relative velocity method.  04

OR

(c)  For a four bar mechanism ABCD, AD = 3.5 m is a fixed link. Driving link AB = 0.5 m, driven link CD = 1.5 m, link BC = 3 m and Angle BAD = 600.Link AB rotates at 20 rpm in clock wise direction, Determine (i) Angular velocity of link BC.(ii)Linear velocity of point E lying on link BC at 2.25 m from B.    04

(d)  With neat sketch explain the Klien’s construction to find out the velocity of various links of slider crank chain.  04

OR

(d)  In a steam engine, the crank and connecting rod are  300mm and 1500 mm long respectively. Draw the velocity diagram when crank has rotated in clockwise direction for 500from I.D.C. Find the engine speed when the velocity of piston is 4.9 m/s.   04

Q.3  (a)  State the various types of thrust bearing and their applications.  03

OR

(a)  Derive the expression for the friction torque for a flat pivot bearing assuming uniform pressure.   03

(b)  Explain the construction & working of a single plate clutch with neat sketch.  03

OR

(b)  A cone clutch transmits 300 N.m torque and has mean cone diameter of 300 mm and semi cone angle of 160.Assuming uniform wear find the axial load and length of the contact surface. Coefficient of friction is 0.3 and permissible pressure of 0.15 N/mm2.   03

(c)  Derive the expression for ratio of tension in the tight side to the tension in the slack side for the flat belt drive.  04

OR

(c)  A  belt  having  1  gm/cm3density  has  maximum  permissible  stress  of  2.2N/mm2. The width & thickness of the belt is 250 mm & 11 mm respectively. If  the  ratio  of  the  belt  tension  is  2,  find  the  maximum  power  that  can  be transmitted by the belt.   04

(d)  List the type of gear train used in gear drive. Derive the expression for train value for a compound gear train.  04

OR

(d)  Explain the automobile gear box with sliding gears with a neat sketch.  04

Q.4  (a)  Explain Coefficient of fluctuation of energy and Coefficient of fluctuation of speed.  03

OR

(a)  Draw the turning moment diagram for four stroke I.C. engine.  03

(b)  State  the  different  types  of  governor  and  explain  working  of  a  centrifugal governor.  04

OR

(b)  Define  the  following  terms  also  give  their  S.I.  unit.(1)  Time  Period  (2) Frequency (3) Cycle (4) Amplitude   04

(c)  Draw  the  cam  profile  for  a  disc  cam  and  knife  edge  follower  from  the following data for one revolution of cam. Angle of rise = 600, Follower lift = 40  mm  with  uniform  velocity.  Angle  of  dwell  (at  rise)  =  300where  the follower  moves  with  uniform  velocity.  For  remaining  period  of  2100,  the follower remains in same position. Diameter of base circle = 50 mm.   07

Q.5  (a)  The turning moment  diagram for a petrol engine is drawn to the following scale. Turning moment scale, 1cm =5586 N.m, Crank angle scale, 1cm = 300The  turning  moment  diagram  repeats  itself  at  every  half  revolution  of  the engine crank shaft and the areas above and below the mean torque line taken in  order  are  2.95,  6.85,  0.4,  3.4,  9.6  and  2.7  sq.cm.  The  rotating  parts  are equivalent  to  40  kg  at  a  radius  of  1.8  m.  Determine  the  coefficient  of fluctuation of speed when the engine runs at 1500 rpm.   04

(b)  Explain (1) Free vibrations (2) Resonance (3)Forced vibrations (4)Damped vibration.   04

(c)  Explain  the  balancing  of  several  masses  rotating  in  the  same  plane  by analytical method.   03

(d)  Three masses 5 Kg, 6Kg and 8Kg are revolving about an axis in the same plane at the radii of 0.12m, 0.1m,0.15m respectively. The angle between 5 Kg and 6 Kg mass is 600and 6 kg and 8 Kg mass is 1650. Determine magnitude and position of the balancing mass  at the radius of 0.14 m for the state  of balance.    03

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Summer 2016 Theory of Machines Question Paper

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GUJARAT TECHNOLOGICAL UNIVERSITY
DIPLOMA ENGINEERING – SEMESTER – IV • EXAMINATION – SUMMER- 2016
Subject Code: 3341903  Date: 17-05-2016
Subject Name: Theory of Machines
Time: 10:30 A.M to 1:00 P.M  Total Marks: 70

Instructions:
1.  Attempt all questions.
2.  Make Suitable assumptions wherever necessary.
3.  Figures to the right indicate full marks.
4.  Use of programmable & Communication aids are strictly prohibited.
5.  Use of only simple calculator is permitted in Mathematics.
6.  English version is authentic.

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Q.1  Answer any seven out of ten.14

1.   What is inversion of mechanism?

2.  Define the following terms. (1) Link (2) Mechanism.

3.  Define the following terms. (1) Lower pair (2) Higher pair.

4.  Differentiate between machine and mechanism.

5.  What is turning pair? Give example of turning pair.

6.  What is friction? List types of friction.

7.  What is dynamometer? List types of dynamometer.

8.  Define cam and state the function of cam.

9.  Differentiate between Flywheel and Governor.

10.  Explain (1) Forced vibrations (2) Damped vibration.

Q.2  (a)  Draw neat Sketch of any one inversions of a slider crank mechanism.  03

OR

(a)  Draw neat Sketch of any one inversions of a Double-slider crank mechanism.  03

(b)  Differentiate between brake & Dynamometer.  03

OR

(b)  Explain working of plate clutch with line diagram.  03

(c)  With neat sketch explain the Klein’s construction to find out the velocity of various links of slider crank chain.  04

OR

(c)  With neat sketch explain relative velocity method to find velocity and acceleration of four bar chain.  04

(d)  The crank of a steam engine is 150 mm long and the connecting rod is 600 mm long. The crank is at 30° from IDC and engine speed is 240 rpm clock wise. Find (i) velocity and acceleration of piston. Use relative velocity and acceleration method.   04

OR

(d)  Solve above example (Que.2 (d)) using Klein’s construction method.   04

Q.3  (a)  Classify mechanical power transmission & state advantages of chain drive.  03

OR

(a)  From the following details for the open belt drive, find the necessary width and initial tension in the belt.
(1) Diameter of pulley=600 mm
(2) Arc of contact= 3 rad.
(3) co-efficient of friction=0.4
(4) power transmitted at 400 rpm= 4 KW
(5) Safe tension for belt [T] = 10N/mm width.   03

(b)  A leather belt 200 mm ×10 mm is of density 1.1 gm/cc. its maximum permissible tension is 200 N/cm2. If the ratio of tensions is 1.8, determine maximum power transmitted?   03

OR

(b)  A conical bearing in the form of frustum of cone has a mean diameter of 200 mm.it supports an axial load of 40 KN. The semi cone angle is 45°, and μ=0.05.determine the power lost in friction at 100 rpm.   03

(c)  Derive the expression Tc=mv² with usual notation and assumptions. 04

OR

(c)  Prove that Ratio of driving tensions for flat belt drive is 2.3log (T1/T2) = μθ.  04

(d)  Explain Compound Gear train.  04

OR

(d)  Explain Epicyclic   Gear train.  04

Q.4  (a)  Derive the expression for the friction torque for a flat pivot bearing assuming uniform pressure.   03

OR

(a)  State the various types of thrust bearing and their applications.   03

(b)  Explain turning moment diagram for Four stroke cycle IC engine.  04

OR

(b)  Explain the term “fluctuation of Energy” and “fluctuation of speed” as applied to the flywheel.   04

(c)   A disc cam is used to give motion to a knife edge follower. For the 1st1200of cam revolution, follower moves up 60 mm with simple harmonic motion. For the next 600 of cam revolution, follower remains at rest. For the next 1200 of cam revolution follower comes down with uniform velocity. For remaining period of cam revolution it remains at rest. Diameter of base circle of cam is 50 mm. assume cam rotates in anti-clockwise direction. Draw cam profile.  07

Q.5  (a)  What is vibration? State causes of vibration & measures to reduce vibrations.  04

(b)  Explain with neat sketch the working of Hartnell Governor.  04

(c)  Explain the balancing of several masses revolving in the same plane by  analytical method.  03

(d)  List types of followers and explain any one with figure. 03

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Winter 2016 Theory of Machines Question Paper

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GUJARAT TECHNOLOGICAL UNIVERSITY
DIPLOMA ENGINEERING - SEMESTER–IV • EXAMINATION – WINTER - 2016
Subject Code: 3341903  Date: 22-11-2016
Subject Name: Theory of Machines
Time: 02:30 PM TO 05:00 PM  Total Marks: 70

Instructions:
1.  Attempt all questions.
2.  Make Suitable assumptions wherever necessary.
3.  Figures to the right indicate full marks.
4.  Use of programmable & Communication aids are strictly prohibited.
5.  Use of only simple calculator is permitted in Mathematics.
6.  English version is authentic.

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Q.1 Answer any seven out of ten.14

1.Explain difference between Machine and Mechanism

2.  Explain in brief the difference between kinetics and Kinematics.

3.  List the Inversions of a double slider crank mechanism

4.  Define cam and state the function of cam.

5.  State the laws of friction

6.State advantages of Gear drive

7.  Define the following terms.(1) Lower pair (2) Higher pair

8.  Explain Damped vibration in brief.

9.  State function of fly wheel in Automotive application.

10. Give name of any four types of follower.

Q.2  (a)  Define linear and angular velocity. State relation between them  03

OR

(a)  Give Classification of  Kinematic pair  03

(b) Explain Constant Acceleration and retardation motion of the follower.   03

OR

(b)  Explain Different types of  Cam with neat sketch.  03

(c) In a four bar linkage ABCD, AD = 160 mm  is fixed link., driving link AB = 60 mm, driven link CD = 75 mm. and link BC = 100 mm. Angle BAD = 900. Link AB rotates at 10 rad/s in clockwise direction, determine (i)  Angular velocity of link BC   04

OR

(c)  In a steam engine, the  crank and  connecting rod are 300mm and 1500  mm long respectively. Draw the velocity diagram when crank has rotated in clock wise direction for 500from I.D.C. Find the engine speed when the velocity of piston is 4.9 m/s.   04

(d)  Draw the profile of a cam operating a knife-edge follower with the following data. Least radius of a cam = 25 mm. Lift of the follower = 50 mm. The cam lifts the follower for 1500with SHM followed by a dwell period of 300.  Then  follower  lowers  down  during  1200 of  cam  rotation  with uniform velocity followed by a remaining dwell period. Assume clockwise rotation of a cam.04

OR

(d)  Draw the profile of the cam that gives a lift of 40 mm to a roller follower, dia.15 mm. The axis of the follower passes through the center of the cam. The cam rotates in clockwise direction. The minimum radius of the cam is 30 mm. The follower is to be lifted with simple harmonic motion during 1200of camrotation,dwells for 300of the cam  rotation in the lifted position, returns to initial position during 900of cam rotation with uniform velocity motion, and dwells for remaining degree of cam rotation    04

Q.3  (a) List advantages and Dis advantages of Friction   03

OR

(a)List various types of thrust bearing and state their application.   03

(b) Define (1) Co efficient of friction (2) Angle of repose (3) Limiting angle of friction   03

OR

(b)  Derive the expression for friction torque acting on a conical pivot bearing assuming uniform pressure with usual notations.    03

(c)Explain Cone clutch with neat Sketch.  04

OR

(c)Explain construction and working of single plate clutch.  04

(d)  A Conical pivot bearing supports an axial load of 20KN. The cone angle is 600and shaft radius is 180 mm. Determine the power lost in friction at 100 rpm. µ =0.06. Assume both Uniform pressure and Uniform wear condition.   04

OR   

(d)  A multiple clutch is having 3 driving plates and 2 driven plates. The outer and inner  radii  of  friction  surfaces  are  130  mm  and  80  mm  respectively.  The intensity  of  pressure  is  not  to  exceed  0.13  N/mm2.  Assume  uniform  wearcondition. Find the power transmitted by the clutch at 1200 rpm. µ =0.3    04

Q.4  (a) What is function of Flywheel? How it differ from that of governor?    03

OR

(a)  Draw Turning moment diagram for (1) Four stroke cycle engine (2) Multi  cylinder Engine (3) Press machine  03

(b)  Two parallel shafts A and B are to be connected by two spur gear each having a module of 8 mm. The speed of gear A is 200 rpm and gear B is 600 rpm. Find the number of teeth on each  gears and the exact distance between  the shafts.   04

OR

(b)  A flat belt 150 mm wide and 8 mm thick is used to transmit power from a motor pully  running at  1440 rpm. The diameter of motor pully is 225  mm. The allowable stress in the belt is not exceed 2 N/mm2. The angle of contact of belt on the smaller pully is 1650and co efficient of friction for the leather belt  is  0.27.  Neglecting  the  centrifugal  tension  in  the  belt.  Find  the  power transmitted by the belt.  04

(c)  The Turning moment diagram of a multi cylinder petro engine is drawn to the following scale.Crank displacement : 1 cm =150Turning Moment : 1 cm = 500 NmThe intercepted areas between the output and mean resistance line taken in order are +5.2, -12, +9.2, -14, +8.5, -7.2 and 10 cm2. If the fluctuation of speed is not to exceed 2.5 % of mean speed, which is 360 rpm, Find
(1)  Energy to be stored by flywheel in joules.
(2)  Mass of flywheel if radius of gyration is 0.6 m

Q.5  (a)What is balancing? Explain need of balancing?  04

(b)Explain the Procedure of balancing several rotating masses in the same plane.   04

(c)Define vibration. Explain Mechanical system of vibration.  03

(d)  Explain (1) Longitudinal vibration (2) Transverse vibration (3) Torsional  vibration.  03

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