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34. A particle is executing simple harmonic motion. Its displacement is given by
x = 5 sin pi t
where x is in cm and t in seconds. How long will the particle take to move from
the positon of equilibrium to the position of maximum displacement?
(1) 0.5s
2) 1.0s
3) 1.5s
4)2.0s​

Respuesta :

Answer:

Compare this to the standard equation for S.H.M:

x = A sin w t   where w is the angular frequency.

So w = pi   and since w = 2 pi f where f is the frequency

f = 1/2   and since T = 1/f    then T = 2 sec for 1 complete cycle

Since it takes 1/4 cycle to move from minimum to maximum displacement

the required time is T/4   or t = 2 sec