Machine Multiple Choice Kinematics Questions and Answers – Differential Equation of Simple Harmonic Motion

1 By how much angle in degrees does the velocity leads the displacement in a body undergoing SIMPLE HARMONIC MOTION?

A 90

B 45

C 180

D 0

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Answer: 90

2 For a body undergoing SIMPLE HARMONIC MOTION, the acceleration is always in the direction of the displacement.

A True

B False

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Answer: False

3 The maximum displacement of the body under Simple Harmonic Motion from its mean position is known as_______

A Amplitude

B Frequency

C Time period

D Range

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Answer: Amplitude

4 The piston of an engine moves with SIMPLE HARMONIC MOTION. The crank rotates at a speed of 120 r.p.m. with a stroke of 2 metres. Find the velocity of the piston in m/s, when it is at a distance of 0.75 metre from the centre.

A 8.31

B 7.33

C 8.41

D 9.02

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Answer: 8.31

5 The piston of an engine moves with SIMPLE HARMONIC MOTION. The crank rotates at a speed of 120 r.p.m. with a stroke of 2 metres. Find the velocity of the piston in m/s², when it is at a distance of 0.75 metre from the centre.

A 118.46

B 117.33

C 128.41

D 119.02

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Answer: 118.46

6 A point moves with SIMPLE HARMONIC MOTION. When this point is 0.75 m away from the mid path, it has a velocity of 11 m/s and when 2 m from the centre of its path its velocity is 3 m/s. Find its angular velocity in rad/s.

A 5.7

B 7.5

C 6.7

D 7.6

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Answer: 5.7

7 A point moves with SIMPLE HARMONIC MOTION. When this point is 0.75 m away from the mid path, it has a velocity of 11 m/s and when 2 m from the centre of its path its velocity is 3 m/s. Find its time period in s.

A 1.1

B 1.2

C 1.3

D 1.4

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Answer: 1.1

8 A point moves with SIMPLE HARMONIC MOTION. When this point is 0.75 m away from the mid path, it has a velocity of 11 m/s and when 2 m from the centre of its path its velocity is 3 m/s. Find its maximum acceleration in m/s2.

A 61.1

B 67.2

C 51.3

D 41.4

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Answer: 67.2

9 If V is the maximum velocity of a body undergoing SIMPLE HARMONIC MOTION, then what is the average velocity of motion from one extreme to other extreme is?

A 2V/π

B 4V/π

C V/2π

D 2V/3π

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