A particle executes shm of amplitude 'a'. (i) At what distance from the mean position is its kinetic energy equal to its potential energy? (ii) At what points is its speed half the maximum speed ?

A particle executes shm of amplitude 'a'. (i) At what distance from th

1.	A particle executes shm of amplitude 'a'. (i) At what distance from the mean position is its kinetic energy equal to its potential energy? (ii) At what points is its speed half the maximum speed ?
Answer» SOLUTION :`(1//2)kx^2=(1//2)ka^2-(1//2)kx^2,X(1//sqrt2)a`,(II) `(1//2)K(a^2-x_1^2)=(1//4)(1//2)ka^2,x_1=pmsqrt3a//2`.