Question

The figure below shows an oscillating system of two blocks and a spring. The horizontal surface is smooth and the contact between the blocks is rough with coefficient of static friction µ. Considering that the blocks of mass m is always stationary relative to M, choose the correct option regarding the statement below :

(A) Maximum frictional force between blocks is \(\mu\) mg

(B) Time period of oscillation is \(2\pi \sqrt{\frac{m+M}{k}}\)

(C) Friction between the blocks at any instant is \(\mu Mg\)

(1) Only A & B are correct

(2) Only A is correct

(3) Only B is correct

(4) None of these

Answer 1

Correct option is : (3) Only B is correct

\(F_{max} = ma _{max}\)

\( = m\omega ^2 A\)

\(f = ma\)

\( = m \omega^2 x\)