Home
Class 11
PHYSICS
A block A of mass m is placed over a pla...

A block `A` of mass m is placed over a plank` B` of mass `2m` plank B is placed over a smooth horizontal surface .The coefficient of friction between `A` and B is `0.4` Block A is given a velocity `v_(0)` toward right Find acceleration (in `ms^(-2)` of `B` relative to `A`

Text Solution

Verified by Experts

The correct Answer is:
6
Force of friction between the two will be maximum i.e. `mu mg`
Retandation of A : `a_(A) = (mu mg)/(m)= mu g`M
and acceleration of B is `(mu mg)/(2m)= (mu g)/(2)`
Acceleration of B relative to A is `a_(BA) = a_(A) + a_(B) = (3mu g)/(2)`
Substitating `mu = (1)/(2) , a_(BA)= (3g)/(4)`
Promotional Banner

Topper's Solved these Questions

  • NEWTON'S LAWS OF MOTION 2

    CENGAGE PHYSICS ENGLISH|Exercise True And False|4 Videos

  • NEWTON'S LAWS OF MOTION 2

    CENGAGE PHYSICS ENGLISH|Exercise Single correct answer type|13 Videos

  • NEWTON'S LAWS OF MOTION 2

    CENGAGE PHYSICS ENGLISH|Exercise Linked Comprehension|52 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

A block A of mass m is placed over a plank B of mass 2m. Plank B is placed over a smooth horizontal surface. The coefficient of friction between A and B is (1)/(2) block A is given a velocity v_(0) towards right. Accelration of B relative to A is

A block A of mass 2 kg is placed over smooth block B of mass 4 kg which is placed over a smooth horizontal floor The coefficient of friction between A and B is 0.4 when a horizontal forces of magnitude 10 N is applied on A the acceleration of block of A and B are

Block A of mass m rests on the plank B of mass 3m which is free to slide on a frictionless horizo-ntal surface. The coefficient of friction between the block and plank is 0.2. If a horizontal force of magnitude 2 mg is applied to the plank B, the acceleration of A relative to the plank and relative to the ground respectively, are:

A block A is placed over a long rough plank B same mass as shown below. The plank is placed over a smooth horizontal surface. At time t = 0 , block A is given a velocity v_(0) in horizontal direction. Let v_(1) and v_(2) be the velocity of A & B at time 't'. Then choose the correct graph between v_(1) or v_(2) and t.

Block B rests on a smooth surface .The coefficient of static friction between A and B is mu = 0.4 where F = 30 N then Acceleration of upper block is

Block A of mass 2kg is placed over a block B of mass 8kg . The combination is placed on a rough horizontal surface. If g=10ms^(-2) , coefficient of friction between B and floor =0.5 , coefficient of friction between B and floor =0.5 , coefficient of friction between A and B=0.4 and a horizontal force of 10N is applied on 8kg block, then the force of friction between A and B is.

Block A of mass 2kg is placed over a block B of mass 8kg . The combination is placed on a rough horizontal surface. If g=10ms^(-2) , coefficient of friction between B and floor =0.5 , coefficient of friction between B and floor =0.5 , coefficient of friction between A and B=0.4 and a horizontal force of 10N is applied on 8kg block, then the force of friction between A and B is.

A 3 kg block is placed over a 10 kg block and both are palced on a smooth horizontal surface. The coefficient of friction between the block is 0.2 . If a horizontal force of 20 N is applied to 3 kg block, accelerations of the two block in ms^(-2) are (take, g=ms^(-2) )

A block of mass m is kept over another block of mass 2 m and the system rests on a smooth horizontal surface. The coefficient of friction between the blocks is 0.50. Find the work done by the force of friction on the smaller block by the bigger block during a displacement d of the system, when a force mg is applied to the lower block.

A block of mass m=2kg of shown dimensions is placed on a plank of mass M = 6Kg which is placed on smooth horizontal plane. The coefficient of friction between the block and the plank is mu=1/3 . If a horizontal froce F is applied on the plank, then find the maximum value of F (in N) for which the block and the plank move together