Home
Class 11
PHYSICS
There block A B ,and C of equal mass m a...

There block A B ,and C of equal mass `m` are placed one over the other on a frictionless surface (table) as shown in figure The coefficient of friction between any blocks A ,B and C is `mu` The maximum value of mass of block D so that the blocks A,B and C move without slipping over each other is

A

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

B

`(3 m(1 - mu))/(mu)`

C

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

D

`(3 m mu)/((1 - mu)`

Text Solution

Verified by Experts

The correct Answer is:
d
Maximum acceleration of B of C can be `mg `so that they do not slip with each other or A
For the system of `(A + B+ C)`
`T = 3 ma = 3mu mg`
For D
`Mg - T = Ma`
`rArr Mg - 3mu mg = M mu g`
`rArr M = (3 mu m)/(1 - mu)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • NEWTON'S LAWS OF MOTION 2

    CENGAGE PHYSICS ENGLISH|Exercise Multiple Correct|2 Videos

  • NEWTON'S LAWS OF MOTION 2

    CENGAGE PHYSICS ENGLISH|Exercise Linked Comprehension|52 Videos

  • NEWTON'S LAWS OF MOTION 2

    CENGAGE PHYSICS ENGLISH|Exercise Subjective|21 Videos

  • NEWTON'S LAWS OF MOTION 1

    CENGAGE PHYSICS ENGLISH|Exercise Integer|5 Videos

  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS ENGLISH|Exercise INTEGER_TYPE|2 Videos

Similar Questions

Explore conceptually related problems

Three blocks of A, B and C of equal mass m are placed one over the other on a smooth horizontal ground as shown in figure. Cofficient of friction between any two blocks of A,B and C is 1/2. The maximum value of mass of block D so that the blocks A,B and C move without slipping over each other is-

Three blocks A,B and C of equal mass m are placed one over the other on a smooth horizontal ground as shown in figure. Coefficient of friction between any two blocks of A,B and C is 1/2. the maximum value of mass of block D so that the blocks A,B and C move without slippping over each other is

A block of mass m is placed on the top of another block of mass M as shown in the figure. The coefficient of friction between them is mu . The maximum acceleration with which the block M may move so that m also moves along with it is

Two blocks A and B of respective masses 6 kg and 4 kg are connected with a string passing over a light friction less pulley as shown in the figure . The coefficient of friction between the block A and horizontal surface is 0.4 . Then the minimum mass of block C which should be placed over A to prevent it from moving is :

On a smooth table two blocks of masses 2.5kg and 1.5kg are placed one over the other as shown in figure. If the coefficient of static friction between two blocks is 0.2, the maximum horizontal force to be applied on the lower block so that the two blocks move together is (g = ms^(-2) )

A block of mass m kept on rough horizontal turn table at a distance x from the centre. If the coefficient of friction between the table and block is mu then maximum speed of point P on turn table so that the block does not slip is

A cart of mass M has a block of mass m in contact with it as shown in the figure-2.133. The coefficient of friction between the block and the cart is mu . What is the minimum acceleration of the cart so that the block m does not fall ?

A block A slides over an another block B which is placed over a smooth inclined plane as shown in figure . The coefficient of friction between the two blocks A and B is mu . Mass of block B is two times the mass of block A . The acceleration of the centre of mass of two blocks is

For the arrangement shown in the figure the coefficient of friction between the two blocks is mu . If both the blocks are identical and moving ,then the acceleration of each block is

Two masses A and B of 15 kg and 10 kg are connected with a string passing over a frictionless pulley fixed at the corner of a table (as shown in figure). The coefficient of friction between the table and block is 0.4. The minimum mass of C, that may be placed on A to prevent it from moving is:

Home
Profile