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Q.

A body is kept on a rough horizontal surface of angle of friction ' α ' and moved by applying a force of magnitude 'F' making angle 'θ ' with horizontal. Arrange the following cases in the order of increasing magnitude for F.

i) F is pulling force and θ=α

ii) F is pulling force and θ=0

iii) F is pulling force and α=θ=0

iv) F is pushing force and θ=α

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a

iv, iii, ii and i

b

 i, ii, iii and iv

c

 i, ii, iv and iii

d

iii,i, ii and iv

answer is D.

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Detailed Solution

1.The least force will be required when angle of friction is zero, that is when the surface is friction less.(iii)

2. The frictional force offered by the surface is given by tan(α)mg (i)

3. The frictional force offered by the surface is given by tan(α)mg-Fsinθ(ii)

4. The frictional force offered by the surface is given by tan(α)mg+Fsinθ(iv)

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