1.

A heavy wedgy of height h is released from rest with a light particle 'P' placed on it as shown. The wedge slides down a fixed incline which makes an angle theta with horizontal. All surface are smooth

Answer»

P strikes the inclined plane in time `t=sqrt((2H)/(G sin^(2)THETA))`
P strikes the inclined plane in time `t = sqrt((2h)/(g))`
P strikes the inclined plane with a speed `v=sinthetasqrt(2hg)`
P strikes the inclined plane with a speed `v = cos thetasqrt(2hg)`

Solution :`v =at_(1) ""......(1)`
`0=v-4(3-t_(1))"".......(2)`
Form (1) and (2)
`t_(1) = 2 sec`
`v = 2(2) = 4 m//s`
`s_(1)=(1)/(2)xx2xx2^(2)=4m`
`s_(2)=(1)/(2)xx4xx1^(2)=2m`
s = 6 m


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