Home
Class 12
PHYSICS
In the given situation, what is the mini...

In the given situation, what is the minimum mass of block A so that block B remains stationary with respect to the wall? The coefficient of friction is `mu` between wall and block. All other surfaces are smooth.

A

`((M + m))/(mu + 1)`

B

`(M)/(mu - 1)`

C

`(M + m)/(mu)`

D

`((M + m))/(mu - 1)`

Text Solution

Verified by Experts

The correct Answer is:
D

N = ma (i)
F = mg (ii)
m'g - T - m 'a (iii)
T - N = Ma (iv)
Solving (i) and (ii)
`mu N = mg` or `mu m a = mg` `implies a = (g)/(mu)`
adding (i), (iii) and (iv)
`m 'g = (m + m ' + M) (g)/(mu)` `implies m 'g - (m 'g)/(mu) = (m + M) (g)/(mu)`
`m (mu - 1) = (m + M)` `implies m ' = (m + M)/((mu - 1))`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find minimum μ so that the blocks remain stationary.

The figure an L shaped body of mass M placed on smooth horizontal surface. The block A is connected to the body by means of an inexiensible string , which is passing over a smooth pulley of negligible mass.Another block B of mass m is placed against a vertical wall of the body. Find the minimum value of the mass of block A so that B remain stationary relative to the wall. Coefficient of friction between the block B and the vertical wall is mu .

In the arrangement shown in the figure mass of the block B and A are 2m , 8m respetively. Surface between B floor is smooth. The block B is connected to block C by means of a pulley. If the whole system is released then the minimum value of mass of the block C so that the block A remains stationary with respect to B is: (Coefficient of friction between A and B is mu and pulley is ideal).

All surfaces are smooth in the adjoining figure. Find F such that block remains stationary with respect to wedge.

A block of mass m is placed on the rough incline of a wedge of mass M and inclination alpha to the horizontal. Calculate the maximum and minimum acceleration that can be imparted to the wedge so that the block may remain stationary relative to the wedge. The coefficient iof friction between the block and the wedge is mu .

Find the minimum value of horizontal force (F) required on the block of mass m to keep it at rest on the wall. Given the coefficient of friction between the surfaces is mu .

All surface are smooth in following figure. Find F , such that block remain stationary with respect to wedge.

A block is stationary on an inclined plane If the coefficient of friction between the block and the plane is mu then .