Two identical blocks A and B are connected by a spring as shown in figure. Block A is not connected to the wall parallel to y-axis. B is compressed from the natural length of spring and then left. Neglect friction. Match the following two columns.

Open in App

Solution

$P \to$ compressed state of string
$Q \to$ natural length of spring
From P to Q
$a_{B} = \frac{K x}{m_{B}}$
$a_{C M} = \frac{m_{B} a_{B}}{m_{A} + m_{B}} = \frac{(m_{B}) (K x)}{m_{A} + m_{B}}$
From P to Q, compression x decreases. Therefore, $a_{C M}$ decreases. After Q, A leaves contact with wall, spring comes in its natural length. Net force on system becomes zero.
Therefore, $a_{C M}$ become zero.
From P to Q velocity of B, therefore velocity of COM will increase. After that $a_{C M}$ becomes zero.
Therefore, $v_{C M}$ becomes constant.

Suggest Corrections

Similar questions

Q. Two identical blocks of mass 0.5 kg each are shown in figure. A massless elastic spring is connected with A. B is moving towards A with kinetic energy of 4J. Match following two columns. Neglect friction.

A block of mass m is connected to a spring of spring constant K as shown in figure. The frame in which block is placed is given an acceleration 'a' towards left. Neglect friction between block and frame walls. The maximum velocity of the block relative to frame is

Q. Two blocks of masses

m_{1} a n d m_{2}

are connected with a massless undeformed spring and placed over a plank moving with an acceleration ‘a’ as shown in figure. The coefficient of friction between the blocks and platform is

μ

. Then choose the correct statement.

Two blocks A and B each of mass m are connected by a massless spring of natural length L and spring constant K. The blocks are initially resting on a smooth horizontal floor with the spring at its natural length as shown in figure. A third identical block C also of mass m moves on the floor with a speed v along the line joining A and B and collides elastically with A. Then

Q. Two blocks A and B each of mass m are connected by a massless spring of natural length L and spring constant K. The blocks are initially resting on a smooth horizontal floor with the spring at its natural length, as shown in figure. A third identical block C, also of mass m, moves on the floor with a speed v along the line joining A and B, and collides elasticity with A. Then ?

Join BYJU'S Learning Program