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ADNAN MUHAMMED

Grade 12,

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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.

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.

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Grade:12

1 Answers

Vikas TU
14149 Points
7 years ago
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 

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