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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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