A partiele exeeutes a linear SHM with an amplitude of 4 ~cm . At the mean position the velocity of the particle is 10 ~cm / s . What is the displacement of the particle when its speed becomes 5 ~cm / s ?

Step-by-step solution

Amplitude of the particle is SHM, A =4 ~cm At mean position velocity, aligned & v_ &=10 ~cm / s A &=10 aligned aligned &= 10 A &= 10 4 =2.5 rad / s aligned Again when v=5 ~cm / s , then displacement, x= ? We know that, v= A²-x² 5=25 4²-x² 2= A²-x² 4=A²-x² 4=4²-x² x²=16-4=12 x= 12 =2 3 ~cm