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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

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`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`
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