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BARC 2019: Theory of Machines Nuclear Quiz-1
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Question 1
A connecting rod of a petrol engine of length l is shown in figure. Its mass m is replaced by a two masses m1 and m2 placed at the end centers. The distance of masses m1 and m2 from its centre of gravity are l1 and l2 respectively. 
For the dynamically equivalent system, the masses m1, m2 and its radius of gyration (kG) are
For the dynamically equivalent system, the masses m1, m2 and its radius of gyration (kG) are Question 2
For a cam having simple motion described as simple harmonic motion having ascent-dwell1-descent-dwell2 nature, if the angle for ascent is 65
angle for descent is 85 
and dwell1 is 50
find the angle for dwell2 in degree.
angle for descent is 85 and dwell1 is 50 find the angle for dwell2 in degree. Question 3
In a velocity triangle of the slider crank mechanism the corresponding side of the slider motion is 4 cm having a velocity of 10m/s. If the length of the connecting rod is 80 cm and side corresponding to the connecting rod measures 2 cm, then the angular velocity of the connecting rod in rad/s is
Question 4
An unknown mass m is attached to one end of a spring of stiffness k having natural frequency of 6 Hz. When 1 kg is attached with mass m and when natural frequency of the system is lowered by 20 %. Determine the value of unknown mass m.
Question 5
A reciprocating engine is rotating with an angular velocity of 25 rad/s. if the length of the connecting rod is 100 mm and radius of the crank is halved than the length of the connecting rod. At an instant when the crank is at angle 90 degree from the line of action of the stroke, What should be the acceleration of the slider in m/s2.
Question 6
Two helical spur gear are in mesh with angular velocity 200 rpm for gear and 600 rpm for the pinion. Assuming no slip occur between the meshing gears. What will be the value of gear ratio for the following gear arrangement.
Question 7
For the following gear train arrangement shown in the figure below. The number of teeth is also indicated as shown below.
Find the Train value of the gear train arrangement.
Find the Train value of the gear train arrangement.
Question 8
For the mechanism shown in the figure below angular velocities of the link 2 and link 3 are 5 rad/s and 14 rad/s. Find the angular velocity of the link 2 with respective to link 3
Question 9
The figure shows a critically damped spring-mass system undergoing single degree of freedom vibrations. If m = 10 kg and k = 10 N/m, the value of viscous damping coefficient is
Question 10
The number of instantaneous centre of a mechanism is 28. What will be the degree of freedom of the mechanism if one of the link is fixed and assuming there is 5 lower pair and 2 higher pair.
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