A lift l is moving upwards with constant acceleration a=g
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your question is -> A lift L is moving upward with a constant acceleration a=g. a small block A of mass 'm' is kept on a wedge B of same mass 'm'. the height of the vertical face of the wedge is 'h'. A is released from the top most point of wedge. find the time taken by A to reach the bottom of B. All surfaces are smooth and B is also free to move.
solution : wedge is located in non-inertial frame of reference. so, net acceleration acting on block placed on wedge = (a + g) [ downward ]
now, net acceleration of block along plane = (a + g)sinθ,
where θ is inclination angle of wedge.
see figure, sinθ = h/AB
so, net acceleration along plane = (a + g)h/AB
as it is given, a = g
so, net acceleration along plane = 2gh/AB
using formula, s = ut + 1/2 at²
here, a = 2gh/AB , u = 0, s = AB
so, AB = 1/2 (2gh/AB)t²
⇒2AB² = (2gh)t²
⇒AB² = (gh)t²
⇒t = AB/√(gh)
your question is -> A lift L is moving upward with a constant acceleration a=g. a small block A of mass 'm' is kept on a wedge B of same mass 'm'. the height of the vertical face of the wedge is 'h'. A is released from the top most point of wedge.