Machine Kinematics Multiple Choice Questions and Answers – Centre of Percussion

Questions
1 The piston of a steam engine moves with simple harmonic motion. The crank rotates at 120 r.p.m. with a stroke of 2 metres. Find the velocity of the piston, when it is at a distance of 0.75 metre from the centre.
A 8 m/s
B 8.31 m/s
C 9 m/s
D none of the mentioned

Answer: 8.31 m/s
2 The piston of a steam engine moves with simple harmonic motion. The crank rotates at 120 r.p.m. with a stroke of 2 metres. Find the acceleration of the piston, when it is at a distance of 0.75 metre from the centre.
A 118.46 m/s2
B 90 m/s2
C 100 m/s2
B none of the mentioned

Answer: 118.46 m/s2
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3 Law of isochronism
A states the time period (tp ) of a simple pendulum does not depend upon the mass of the body suspended at the free end of the string.
B states the time period (tp ) of a simple pendulum does not depend upon its amplitude of vibration and remains the same, provided the angular amplitude (θ) does not exceed 4°.
C states the time period (tp) of a simple pendulum is directly proportional to √L , where L is the length of the string.
D none of the mentioned

Answer: states the time period (tp ) of a simple pendulum does not depend upon its amplitude of vibration and remains the same, provided the angular amplitude (θ) does not exceed 4°.
4 Law of mass
A states the time period (tp ) of a simple pendulum does not depend upon the mass of the body suspended at the free end of the string.
B states the time period (tp ) of a simple pendulum does not depend upon its amplitude of vibration and remains the same, provided the angular amplitude (θ) does not exceed 4°.
C states the time period (tp ) of a simple pendulum is directly proportional to √L , where L is the length of the string.
D none of the mentioned

Answer: states the time period (tp ) of a simple pendulum does not depend upon the mass of the body suspended at the free end of the string.
5 Law of length
A states the time period (tp ) of a simple pendulum does not depend upon the mass of the body suspended at the free end of the string.
B states the time period (tp ) of a simple pendulum does not depend upon its amplitude of vibration and remains the same, provided the angular amplitude (θ) does not exceed 4°.
C states the time period (tp) of a simple pendulum is directly proportional to √L , where L is the length of the string.
D none of the mentioned

Answer: states the time period (tp) of a simple pendulum is directly proportional to √L , where L is the length of the string.
6 Law of gravity
A states the time period (tp ) of a simple pendulum does not depend upon the mass of the body suspended at the free end of the string.
B states the time period (tp ) of a simple pendulum does not depend upon its amplitude of vibration and remains the same, provided the angular amplitude (θ) does not exceed 4°.
C states the time period (tp) of a simple pendulum is directly proportional to √L , where L is the length of the string.
D states the time period (tp ) of a simple pendulum is inversely proportional to √g , where g is the acceleration due to gravity.

Answer: states the time period (tp ) of a simple pendulum is inversely proportional to √g , where g is the acceleration due to gravity.
7 A helical spring, of negligible mass, and which is found to extend 0.25 mm under a mass of 1.5 kg, is made to support a mass of 60 kg. The spring and the mass system is displaced vertically through 12.5 mm and released. Determine the frequency of natural vibration of the system.
A 6 Hz
B 4.98 Hz
C 5.98 Hz
D none of the mentioned

Answer: 4.98 Hz
8 A helical spring, of negligible mass, and which is found to extend 0.25 mm under a mass of 1.5 kg, is made to support a mass of 60 kg. The spring and the mass system is displaced vertically through 12.5 mm and released. Find the velocity of the mass, when it is 5 mm below its rest position.
A 0.36 m/s
B 0.46 m/s
B 0.56 m/s
B none of the mentioned

Answer: 0.36 m/s

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