Question

On a smooth inclined plane, a block of mass M is attached between two springs as shown in the figure. The other ends of the springs are fixed to firm supports. If each springs has springs constant k, the period of oscillation of the block is :
(Assuming the springs as massless)

• A. $2\pi \frac{M}{2k}$
• B. $2\pi \frac{2M}{k}$
• C. $2\pi \frac{Mgsin\theta }{2k}$
• D. $2\pi \frac{2Mg}{k}$

Answer 1

The correct option is A $2\pi \frac{M}{2k}$

Formula for Time period

$T=2\pi \sqrt{\frac{m}{K_{net}}}{K}_{net}=K+K=2K$

Substituiting we get

$T=2\pi \sqrt{\frac{m}{2K}}$