Home
Class 12
PHYSICS
A block of mass m is pressed against a w...

A block of mass m is pressed against a wall by a spring as shown in the figure. The spring has natural length , `l (l gt L)`, and the coefficient of friction between the block and the wall is `mu` . The minimum spring constant K necessary for equilibrium is:

A

`(2 mg)/(mu (l - L))`

B

`(mg)/(mu(l - L))`

C

`(mg)/(2mu (l - L))`

D

`(2 mg)/(mu l)`

Text Solution

Verified by Experts

The correct Answer is:
B
`N = k (l - L) implies F_("max") = mu k (l - L)`
For equilibrium : `mg le f_("max") implies mg le mu k (l - L)` `implies k ge (mg)/(mu (l - L))`
Promotional Banner

Similar Questions

Explore conceptually related problems

A block of mass M is held against a rough vertical wall by pressing it with a finger . If the coefficient of friction between the block and the wall is mu and the acceleration due to gravity is g , calculate the minimum force required to be applied by the finger to hold the block against the wall.

A block of mass m is moving with a speed v on a horizontal rought surface and collides with a horizontal monted spring of spring constant k as shown in the figure .The coefficient of friction between the block and the floor is mu The maximum cobnpression of the spring is

In the equilibrium conditions shown in the figure all the springs have unstretched length l

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

A block of mass m compresses a spring iof stifffness k through a distacne l//2 as shown in the figure .If the block is not fixed to the spring the period of motion of the block is