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Machine Kinematics Multiple Choice 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
Answer: 90
(2) For a body undergoing SIMPLE HARMONIC MOTION, the acceleration is always in the direction of the displacement.
[A] True
[B] False
Answer: False

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(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
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
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
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
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
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
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
Answer: 2V/π
(10) If V is the maximum velocity of a body undergoing SIMPLE HARMONIC MOTION, then what is the average velocity of motion?
[A] 2V/π
[B] 4V/π
[C] V/2π
[D] 2V/3π
Answer: 2V/π

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