Frequency of a particle performing S.H.M. is 10 Hz . The particle is suspended from a vertical spring. At the highest point of its oscillation the spring is unstretched. Maximum speed of the particle is ( g =10 ~m / s ^2 )

Step-by-step solution

Time period of oscillation. aligned & T =2 ~m k & n = 1 2 k ~m & n ^2= 1 4 ^2 k ~m & k =100 4 ^2 m =400 ^2 ~m ...(i) aligned Amplitude at highest point of oscillation = A aligned F & = kA = mg ~A & = mg k ...(ii) v _ & = A & = mg k ...[From(ii)] & =2 n mg k & = (2 10) ( m 10) 400 ^2 ~m & = 1 2 ~m / s aligned ...[From(i)]