Q1 of 111 Page 252

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,



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