1.

A wedge of mass m is placed on a smooth fixed horizontal surface and block of mass m is placed on smoth inclined surface of wedfe as shown. The system is then released from rest. (g is acceleration due to gravity) Select correct option(s)

Answer»

Shortest time in which the PERSON could swim from ONE BANK to the other (in running water) will be `12` min
At the shown instant, the magnitude of vertical component of acceleration of back is `(g)/(3)`
work done by NORMAL force (between the block and wedge) on the block from top to bottom is zero.
work done normal force (between the block and wedge) on the block from top to bottom is negative.

Solution :The accelration `a` of wedge is `a = (gsinthetacostheta)/(1 + sin^(2)theta) = (g)/(3)`
`:.` The compounds of accelertion of block along

and normal to incline are
Hence vertical compount of acceleration of block is
`a_(y) = asin^(2)theta + gsintheta costheta = (2g)/(3)`


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