Grade 12Mechanics

A wedge of mass m₁and with angle rests on a horizontal surface. A block of mass m₂is 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.

Question image for A wedge of mass m 1 and with angle rests on a hor

Inosmn Hulala

9 Years agoGrade 12

1 Answer

Vikas TU

9 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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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.

Inosmn Hulala

1 Answer

Vikas TU

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