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Applied Mechanics - Engineering

Q1:

The maximum velocity of a body vibrating with a simple harmonic motion of amplitude 150 mm and frequency 2 vibrations/sec, is

A 188.5 m/sec

B 18.85 m/sec

C 1.885 m/sec

D 0.18845 m/sec.

ANS:C - 1.885 m/sec

Displacement = Amplitude x sin(angular frequency x time).

y = Asin(ωt) where y = displacement, A = amplitude,
ω = angular frequency, t = time.

Velocity v = ωAsin(ωt).

and,
v(max)= Aω,

Where ω = 2πf,
f= frequency.
ω = 2*3.14*2 = 12.56.

Therefore, v = 0.15*12.56 = 1.884.