Machine Kinematics Multiple Choice Questions and Answers – Velocity and Acceleration of a Particle Moving with Simple Harmonic Motion

(1) A body is said to vibrate with simple harmonic motion if its acceleration is proportional to the distance from the mean position.
[A] True
[B] False
Answer: True
(2) The maximum displacement of a body, from its mean position is called amplitude.
[A] True
[B] False
Answer: True

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(3) Frequency of vibrations is usually expressed in
[A] number of cycles per hour
[B] number of cycles per minute
[C] number of cycles per second
[D] none of the mentioned
Answer: number of cycles per second
(4) The amplitude of vibrations is always ______________ the radius of the circle.
[A] equal to
[B] less than
[C] greater than
[D] none of the mentioned
Answer: equal to
(5) The time taken by a particle for one complete oscillation is known as periodic time.
[A] True
[B] False
Answer: True
(6) The periodic time is given by
[A] ω/2п
[B] 2п/ω
[C] ω x 2п
[D] п/ω
Answer: 2п/ω
(7) When a body moves with simple harmonic motion, the product of its periodic time and frequency is equal to
[A] zero
[B] one
[C] п/2
[D] п
Answer: one
(8) The acceleration of the particle moving with simple harmonic motion is ____________ at the mean position.
[A] zero
[B] minimum
[C] maximum
[D] none of the mentioned
Answer: zero
(9) The maximum velocity of a particle moving with simple harmonic motion is
[A] ω
[B] ωr
[C] ω2r
[D] ω/r
Answer: ωr
(10) When a particle moves round the circumference of a circle of radius r with ω rad/s, then its maximum acceleration is ω2r.
[A] True
[B] False
Answer: True

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