Home
Class 11
PHYSICS
For the figure shown, block of mass m is...

For the figure shown, block of mass `m` is released from the rest. Find the distance of the wedge from initial position, when block `m` arrives at the bottom of the wedge. All surfaces are frictionless.

Text Solution

Verified by Experts


As there is net external force in the `x` direction, thus the momentum of system in `x` direction `(P_("sys"))_("x")` is conserved.
`"Mv"_(1)="mv"^(2)`,Initially`(P_("sys"))_("x")`
`therefore` displacement of centre of mass in x-direction=0
i.e. `"MX"_(1)="mx"_(2)` ..........(i)
Let the displacement of wedge `M` be `x` backwards
`therefore` displacement of block `=hcotalpha-x`
Using equation(i)
`m(hcotalpha-x)=Mx`
`x=(m)/(m+M)hcotalpha`
Promotional Banner

Topper's Solved these Questions

  • CENTRE OF MASS & MOMENTUM CONSERVATION

    BANSAL|Exercise Practice Exercise|20 Videos

  • CENTRE OF MASS & MOMENTUM CONSERVATION

    BANSAL|Exercise EXERCISE-1 [SINGLE CORRECT CHOICE TYPE]|23 Videos

  • CENTRE OF MASS & MOMENTUM CONSERVATION

    BANSAL|Exercise EXERCISE-4 (SECTION-B) (JEE-ADVANCED Previous Year Questions)|8 Videos

  • GRAVITATION

    BANSAL|Exercise EXERCISE -4 Section - B|6 Videos

Similar Questions

Explore conceptually related problems

A block of mass m is at rest over the rough surface of the fixed wedge.

A block of mass m is placed on the inclined sufrace of a wedge as shown in fig. Calculate the acceleration of the wedge and the block when the block is released. Assume all surfaces are frictionless.

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.

A block A (mass 4M) is placed on the top of a wedge block B of base length l (mass=20M) as shown in figure. When the system is released from rest. Find the distance moved by the block B till the block A reaches ground Assume all surfaces are frictionless.

All surfaces are smooth. The ball of mass m is released from A . Find the distance travelled by the block of mass M .

The block shown in figure is released from rest. Find out the speed of the block when the spring is compressed by 1 m

In the system shown block is released from rest on the inclined surface of the wedge. The acceleration of the wedge will be (assume friction to be absent)

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.

Figure shows a flat car of mass M on a frictionless road. A small massless wedge is fitted on it as shown. A small ball of mass m is released from the top of the wedge, it slides over it and falls in the hole at distance l from the initial position of the ball. Find the distance the flat car moves till the ball gets into the hole.