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 \(\mu\).

Considering that the blocks of mass m is always stationary relative to M, choose the correct option regarding the statements below:

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

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

(C) Friction between the blocks at any instant is \(\mu (m + M)g\)

(1) Only A is correct 

(2) Only B is correct 

(3) A, B and C all three are correct 

(4) Only C is correct

Answer 1

Correct option is: (2) Only B is correct 

\(f \le \ \mu N\)

\(\Rightarrow f \le \ \mu mg\)

\(T = 2 \pi \sqrt{\frac{m+M}{k}} \ \text{for no shipping between the blocks.}\)