Explore topic-wise MCQs in Machine Kinematics.

This section includes 9 Mcqs, each offering curated multiple-choice questions to sharpen your Machine Kinematics knowledge and support exam preparation. Choose a topic below to get started.

1.

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
C. 0.56 m/s
D. none of the mentioned
Answer» B. 0.46 m/s
Discussion
2.

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
C. 0.56 m/s
D. none of the mentioned
Answer» B. 0.46 m/s
Discussion
3.

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» C. 5.98 Hz
Discussion
4.

Law of gravity

A. states the time period (t<sub>p</sub> ) 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 (t<sub>p</sub> ) 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 (t<sub>p</sub>) of a simple pendulum is directly proportional to ‚àöL , where L is the length of the string.
D. states the time period (t<sub>p</sub> ) of a simple pendulum is inversely proportional to ‚àög , where g is the acceleration due to gravity.
Answer» E.
Discussion
5.

Law of length

A. states the time period (t<sub>p</sub> ) 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 (t<sub>p</sub> ) 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 (t<sub>p</sub>) of a simple pendulum is directly proportional to ‚àöL , where L is the length of the string.
D. none of the mentioned
Answer» D. none of the mentioned
Discussion
6.

Law of mass

A. states the time period (t<sub>p</sub> ) 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 (t<sub>p</sub> ) 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 (t<sub>p</sub>) of a simple pendulum is directly proportional to ‚àöL , where L is the length of the string.
D. none of the mentioned
Answer» B. states the time period (t<sub>p</sub> ) of a simple pendulum does not depend upon its amplitude of vibration and remains the same, provided the angular amplitude (‚âà√≠‚Äö√†√®) does not exceed 4¬¨¬®‚Äö√†√ª.
Discussion
7.

Law of isochronism

A. states the time period (t<sub>p</sub> ) 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 (t<sub>p</sub> ) 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 (t<sub>p</sub>) of a simple pendulum is directly proportional to ‚àöL , where L is the length of the string.
D. none of the mentioned
Answer» C. states the time period (t<sub>p</sub>) of a simple pendulum is directly proportional to ‚Äö√Ñ√∂‚àö‚Ć‚àö‚àÇL , where L is the length of the string.
Discussion
8.

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/s<sup>2</sup>
B. 90 m/s<sup>2</sup>
C. 100 m/s<sup>2</sup>
D. none of the mentioned
Answer» B. 90 m/s<sup>2</sup>
Discussion
9.

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» C. 9 m/s
Discussion