Question

On a smooth inclined plane, a body of mass m is attached between two massless springs. The other ends of the springs are fixed to firm supports. If each spring has force constant k, the period of oscillation of the body is:

Answer 1

i)On a smooth inclined plane, a body of mass m is attached between two massless springs. The other ends of the springs are fixed to firm supports. If each spring has force constant k, the period of oscillation of the body is 2π√(m/Keff)

ii) The mass of the block is m and the spring constants are same which is k , the mass is applying mg downwards , the spring constants are applying force kx in the direction opposite to the displacement.

iii)a is proportional to negative of x , so t = 2π√(m/keff) , as the effective value of keff is k+k which is 2k