In the figure block $A$ is released from rest when the spring is in its natural length. For the block $B$ of mass m to leave contact with the ground at some stage what should be the minimum mass of block $A$ ?

Open in App

Solution

m:Mass of block A
M:Mass of block B
When B leaves contact its entire weight must be balanced by the spring force(so that the normal reaction goes to zero).
$K x = M g$
Where x is the amount by which spring expands.
This would mean the block A has moved down by a amount x.
Using conversation of energy,
$m g x = 0.5 K x^{2}$
$m = \frac{M}{2}$

Suggest Corrections

Similar questions

Q. In figure, block A is released from rest, when spring is at its natural unstretched length. For block B of mass M to leave contact with the ground at some stage, the minimum mass of A must be

In the figure ball A is released from rest, when the spring is at its natural length. For the block B of mass M to leave contact with the ground at some stage, the minimum mass of A must be

Q. In the figure, a ball

A

is released from rest when the spring is at its natural (unstrached) length. For the block

B

, of mass

M

to leave contact with the ground at some stage, find the minimum mass of

A

Q. In the shown figure, the bill A is released from rest, when the spring is at its natural (unstretched) length. For the block B of mass M to leave contact with ground at some stage, the minimum mass of A must be

Q. In the figure, the ball

P

is released from rest, when the spring is at its natural length. For the block

Q

of mass

2 m_{0}

to leave contact with ground at some stage, the minimum mass of

P

must be

Join BYJU'S Learning Program

In the figure block A is released from rest when the spring is in its natural length. For the block B of mass m to leave contact with the ground at some stage what should be the minimum mass of block A?

In the figure block $A$ is released from rest when the spring is in its natural length. For the block $B$ of mass m to leave contact with the ground at some stage what should be the minimum mass of block $A$ ?