Home
Class 12
PHYSICS
Two smooth wedges of equal mass m are pl...

Two smooth wedges of equal mass m are placed as shown in figure. All surfaces are smooth. Find the velocities of A & B when A hits the ground.

Text Solution

Verified by Experts

`mgh=1/2 m(v_(B))^(2)+1/2 mv_(A)^(2)` ... (1)
`:.y//x=tan theta`
`rArr y=x tan theta`
`v_(A)=v_(B)tan theta` ...(2)
Putting value `v_(A)` in equation (1) and solving we get
`v_(A)=sqrt(2gh)sin theta, v_(B)=sqrt(2gh)cos theta`
Promotional Banner

Topper's Solved these Questions

  • WORK, ENERGY AND POWER

    FIITJEE|Exercise SOLVED PROBLEMS ( OBJECTIVE)|18 Videos

  • WORK, ENERGY AND POWER

    FIITJEE|Exercise SOLVED PROBLEMS ( OBJECTIVE) ASSERTION REASONING TYPE|1 Videos

  • WORK, ENERGY AND POWER

    FIITJEE|Exercise COMPREHENSIONS ( Comprehension-II)|5 Videos

  • TEST PAPERS

    FIITJEE|Exercise PHYSICS|747 Videos

Similar Questions

Explore conceptually related problems

All surfaces are smooth. The acceleration of mass m relative to the wedge is

All surfaces are smooth The acceleration of mass m relative to the wedge is .

A block of mass m is placed on a wedge of mass M and a force F is acting on it as shown . If all surface are smooth , find the force F such that , there is no relative motion between m and M .

A block of mass m is placed on a wedge of mass M and a force F is acting on its as shown . If all surfaces are smooth , find the force F such that, there is no relative motion between m and M.

In fig. mass m is being pulled on the incline of a wedge of mass M. All the surfaces are smooth. Find the acceleration of the wedge.

A block of mass m is placed on a triangular block of mass M(M = 2m) , as shown. All surfaces are smooth. Calculate the velocity of triangular block when the smaller block reaches at bottom.

In the Fig. shown, mass 'm' is being pulled on the incline of a wedge of mass M. All the surface are smooth. Find the acceleration of the wedge.

In the figure shown A and B are free to move . All the surface are smooth. Mass of A is m . Then

In the figure shown, a cylinder A is initially rolling with velocity v on the horizontal surface of the wedge B (of same mass as A ). All surfaces are smooth and B has no initial velocity. Then maximum height reached by cylinder on the wedge will be. .