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Grade: 12

                        

A wedge of mass m 1 and with angle rests on a horizontal surface. A block of mass m 2 is placed on the wedge. Assuming the friction to be negliible, find the acceleration of the wedge. Also find the acceleration of the block relative to the wedge.

3 years ago

Answers : (1)

Vikas TU
12281 Points
							
FBD of block,
We would get,
N = m2gcos(alpha) {normal to wedge}
and
F = mgsin(alpha) {along the wedge}
Hence along the wedge,
 accln. would be for the block. Hence,
a2 = gsinalpha
 
and the wedge would move rightwards only due to the Normal reaction from block in x direction component only.
Hence,
Nsin(alpha) = m1a1
put N value we get,
m2gcos(alpha)sin(alpha) = m1a1
Relative accln. block w.r.t wedge would be =>
a2 – a1 = gsin(alpha)*(1 – cos(alpha)) m/s^2 
3 years ago
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