Home
Class 11
PHYSICS
A block of mass m is released from the t...

A block of mass m is released from the top of a wedge of mass M as shown in figure. Find the displacement of wedges on the horizontal ground when the block reaches the bottom of the wedges. Neglect friction everywhere.

Text Solution

Verified by Experts

The correct Answer is:
A, C
Here, the system is wedge + block. Net force on the system in horizontal direction (x-direction) is zero, therefore, the centre of mass of the system will not move in x-direction so we can apply,
`x_Rm_R=x_Lm_L`
Let x be the displacement of wedge. Then,
`x_L="displacement of wedge towards left"=x`
`m_L="mass of wedge moving towards left" =M`
`x_R="displacement of block with respect to ground towards right" =h cot theta-x`
and `m_R="mass of block moving towards right"=m`
Substituting in Eq. (i), we get
`m(h cot theta-x)=xM`
`x=(mh cot theta)/(M+m)`
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION

    DC PANDEY ENGLISH|Exercise MiscellaneousExamples|9 Videos

  • CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION

    DC PANDEY ENGLISH|Exercise Exercise 11.1|13 Videos

  • CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION

    DC PANDEY ENGLISH|Exercise Type 1|1 Videos

  • CENTRE OF MASS, IMPULSE AND MOMENTUM

    DC PANDEY ENGLISH|Exercise Comprehension type questions|15 Videos

  • CIRCULAR MOTION

    DC PANDEY ENGLISH|Exercise Medical entrances s gallery|19 Videos

Similar Questions

Explore conceptually related problems

A block of mass m is released from a wedge of mass m as shown in figure . Find the time taken by the block to reach the end of the wedge.

A ball of mass m is released from A inside a smooth wedge of mass m as shown in figure. What is the speed of the wedge when the ball reaches point B?

A block of mass m is placed on a smooth wedge of mass M, as shown in the figure . Just after placiing block m over wedge M.

A block of mass m is at rest on a rought wedge as shown in figure. What is the force exerted by the wedge on the block?

A block is released on the convex surface of a hemispherical wedge as shown in Fig. Determine the displacement of the wedge when the block reaches the angular position theta

A block of mass m is at rest on a rough wedge as shown in figure. What is the force exerted by the wedge on the block?

A block of mass m is at rest on a rough wedge as shown in figure. What is the force exerted by the wedge on the block?

A block of mass 1 kg is released from the top of a wedge of mass 2 kg. Height of wedge is 10 meter and all the surfaces are frictionless. Then

A block of mass m=5kg is placed on the wedge of mass M=32kg as shown in the figure. Find the acceleration of wedge with respect to ground. (Neglect any type of friction. Spring and pulley are ideal)

A block of mass m lies on wedge of mass. Mas shown in figure. With what minimum acceleration must the wedge be moved towared right horizontally so that block m falls freely.