214

You visited us 214 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

Physics

Acceleration

A block of ma...

Question

A block of mass m shown in figure is in equilibrium. If it is displaced further by x and released find its acceleration just after it is released. Take pulleys to be light and smooth and strings light.

Open in App

Solution

Initially the block is at rest under of force $2 T$ upwards and $m g$ downwards $.$ when the block is pulled downwards by $x,$ the spring extends by $2 x .$
hence tension $T$ increases by $2 k x .$ thus the net unbalanced force on block of mass $m$ is $4 k x$ .
$∴$ acceleration of the block is $= \frac{4 k v}{m}$

Suggest Corrections

Similar questions

Mass m shown in the figure is in equilibrium. If it is displaced further by x and released find its acceleration just after it is released. Take pulleys to be light & smooth and strings light.

Q. Mass

4 k g

as shown in the figure is in equilibrium. If it is displaced further by

10 c m

and released, find it's acceleration just after the release. Consider pulleys to be light & smooth and strings very light.

Q. In the figure a block

^{'} A^{'}

of mass

^{'} m^{'}

is attached at one end of a light spring and the other end of the spring is connected to another block

^{'} B^{'}

of mass

2 m

through a light string.

^{'} A^{'}

is held and

B

is in static equilibrium. Now

A

is released. The acceleration of

A

just after that instant is

^{'} a^{'}

. In the next case,

B

is held and

A

is in static equilibrium. Now when

B

is released, its acceleration immediately after the release is

^{'} b^{'}

. The value of

a / b

is: (Pulley, string and the spring are massless)

Q. Consider the situation as shown in the figure. The system is released from rest and the block of mass

1 k g

is found to have a speed

0.3 m / s

after it has descended through a distance of

1 m

. The coefficient of kinetic friction between the block and the table is (All pulleys are massless and smooth and strings are inextensible and light acceleration due to gravity

= 10 m / s^{2}

.):

Q. In the shown pulley-block system, strings are light. Pulleys are massless and smooth. System is released from rest. In

0.6

second: [Take

g = 10 m / s^{2}

]

Join BYJU'S Learning Program

A block of mass m shown in figure is in equilibrium. If it is displaced further by x and released find its acceleration just after it is released. Take pulleys to be light and smooth and strings light.

Initially the block is at rest under of force 2T upwards and mg downwards. when the block is pulled downwards by x, the spring extends by 2x. hence tension T increases by 2kx. thus the net unbalanced force on block of mass m is 4kx. ∴ acceleration of the block is =4kvm