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Grade: 12
        
A wedge of mass m1 and with angle rests on a horizontal surface. A block of mass m2 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.
one year ago

Answers : (1)

Vikas TU
6874 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 
one year ago
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