SHMHard

Question

The displacement (in m) of a particle of mass 100 g from its equilibrium position is given by the equation:
y = 0.05 sin 3π (5t + 0.4)

Options

A.the time period of motion is sec
B.the time period of motion is sec.
C.the maximum acceleration of the particle is 11.25π2 m/s2  
D.the force acting on the particle is zero when the displacement is 0.05 m.

Solution

ω = 3π × 5 = 15π,     A = 0.05
T = sec.    Ans. ---------(B)
amax = ω2 A
= (15π)2  0.05
= 225 × 0.05
= 11.25 π2         Ans.---------(C)

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