Question

In the system shown in the figure all surfaces are smooth and both the pulleys are massless Block on the incline surface (8= 37") of wedge A has mass m. Mass of A and B are M₁ = 2m and M₂ =m respectively. Find the acceleration of wedge A when the system is released form rest​

Answer 1

Answer:

For mass m

1

F=ma

a

m

1

=

m

F

=

20

180

=9m/s

2

a

m

1

=9m/s

2

For mass m

2

There would be no force on m

2

, there is only tension on m

1

that is F because the pulley is ideal mass less and frictionless if there is friction between m

1

and m

2

then m

2

would have acceleration but there is no friction so, acceleration of m

2

will be zero.

a

m

2

=0

Answer 2

Acceleration will 3 times less than the gravity.

Explanation:

T−Mgsin30  =Ma .....(i)

2Mg−2T=2M( $\frac{a}{2}$) .....(ii)

Solving these equations, we get

a= $\frac{g}{3}$

​