A long block A of mass M is at rest on a smooth horizontal surface....

A long block

A

of mass

M

is at rest on a smooth horizontal surface. A small block

B

of mass

M

/ 2 is placed on

A

at one end and projected along

A

with some velocity

v

. The coefficient of friction between the block is

\mu

. Then, the accelerations of blocks

A

and

B

before reaching a common velocity will be respectively A long block A of mass M is at rest on a smooth horizontal surface. A small block B of mass M / 2 is placed on A at one

A long block A of mass M is at rest on a smooth horizontal surface. A small block B of mass M / 2 is placed on A at one

Options

A $\frac{\mu g}{2}$ (towards right), $\frac{\mu g}{2}$ (towards left)
B $\mu g$ (towards right), $\mu g$ (towards left)
C $\frac{\mu g}{2}$ (towards right), $\mu g$ (towards left)
D $\mu g$ (towards right), $\frac{\mu g}{2}$ (towards left)

Correct answer

C. $\frac{\mu g}{2}$ (towards right), $\mu g$ (towards left)

Step-by-step solution

The force causing the motion of A

is frictional force between A and B

, So, acceleration of A \mu M_B g=M_A a_A \Rightarrow a_A=\mu

\left(\frac{M_B}{M_A}\right)

\frac{\mu g}{2} \text{ (towards ) } Block

experiences frictions force toward left

M_B a_B=\mu M_B g \Rightarrow a_B=\mu g

\text{ towards left }

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