Machine Kinematics Multiple Choice Questions and Answers – Simple Harmonic Motion

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Questions
1 The periodic time (tp) is given by
A ω / 2 π
B 2 π / ω
C 2 π × ω
D π/ω

Answer: 2 π / ω
2 The velocity of a particle moving with simple harmonic motion is . . . . at the mean position.
A zero
B minimum
C maximum
D none of the mentioned

Answer: maximum
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3 The velocity of a particle (v) moving with simple harmonic motion, at any instant is given by
A ω √r2 − x2
B ω √x2 − r2
C ω2 √r2 − x2
D ω2√x2 − r2

Answer: ω √r2 − x2
4 The maximum acceleration of a particle moving with simple harmonic motion is
A ω
B ω.r
C ω2.r
D ω2/r

Answer: ω2.r
5 The frequency of oscillation for the simple pendulum is
A 1/2π √L/g
B 1/2π √g/L
C 2π √L/g
D 2π√g/L

Answer: 1/2π √g/L
6 When a rigid body is suspended vertically and it oscillates with a small amplitude under the action of the force of gravity, the body is known as
A simple pendulum
B torsional pendulum
C compound pendulum
D second’s pendulum

Answer: compound pendulum
7 The frequency of oscillation of a compound pendulum is
A 1/2π √g.h/k2G +h2
B 1/2π √k2G +h2/g.h
C 2π√g.h/k2G +h2
D 2π√k2G +h2/g.h

Answer: 1/2π √g.h/k2G +h2
8 The equivalent length of a simple pendulum which gives the same frequency as the compound pendulum is
A h/ k2G +h2
B k2G +h2/h
C h2/k2G +h2
D k2G +h2/h2

Answer: k2G +h2/h
9 The centre of percussion is below the centre of gravity of the body and is at a distance equal to
A h / kG
B h.kG
C h2/kG
D k2G/h

Answer: k2G/h
10 The frequency of oscillation of a torsional pendulum is
A 2πkG/r √g/I
B r/2πkG√g/I
C 2πkG/r√I/g
D r/2πkG√I/g

Answer: r/2πkG√g/I

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