Consider the situation as shown in the firgure.

Options

A. The accelaration of M is 2g/3.
B. The tension in the string connecting A and B is Mg/3
C. The reaction on pulley A is `sqrt(2)` Mg/3 at an angle `45^(@)` with the horizontal.
D. All the options are correct.

Answer

D

Explanation

If block M moves by a distance d, the d, the movable pulley travels by d/2 and hence the block of mass 2M.
a: acceleration of the block of mass 2M
2a: acceleration of the block of mass M

`M:Mg-T=M.2a` (i)
`2M:2T=2M.a` (ii)
Solving `a=(g)/(3),T=(Mg)/(3)`
Pulley:

`R=sqrt(2)T=sqrt(2)(Mg)/(3)`