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A particle executes simple harmonic motion with an amplitude of 10 cm and time period 6 s. At t = 0 it is at position x =5 cm going towards positive x-direction. Write the equation for the displacement x at time t. Find the magnitude of the acceleration of the particle at t = 4 s.
Given,
Amplitude, A = 10cm
time period, T = 6 sec
we know,
equation of SHM,
at t = 0, x = 5
The expression will become,
hence, equation of SHM,
we know, acceleration,
at t = 4sec,
so, acceleration,