A particle executing SHM has a maximum speed of 30 cm"/"s and a maximum acceleration of 60 cm"/"s^(2). The period of oscillation is………..

A particle executing SHM has a maximum speed of 30 cm"/"s and a maximu

1.	A particle executing SHM has a maximum speed of 30 cm"/"s and a maximum acceleration of 60 cm"/"s^(2). The period of oscillation is………..
Answer» `pi s` `(pi)/(2)s` `2pi s` `(pi)/(t) s` Solution :Maximum speed in SHM, `v_("max")= A omega` `therefore 30 = A omega """…….."(1)` and maximum acceleration, `a_("max")= A omega^(2)` `therefore 60 = A omega^(2)"""…….."(2)` Taking RATIO of equation (2) and (1) `(60)/(30)= omega` `therefore 2= (2pi)/(T)""therefore T= pi s`.