Q.

A wheel of radius R and mass M is placed at the bottom of a fixed step of height R as shown. A constant force is applied on the surface of the wheel so that it just climb the step without slipping then

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a

If the force is applied normal to the circumference at point ‘X’ then τ is constant 

b

If the force is applied to the circumference at point P then τ=0

c

If the force is applied tangentially at point ‘S’ then τ0 but the whell never climbe the step 

d

If the force is applied at ‘P’ 6angentially, then τ decreases continuously as the wheel climbs 

answer is A, B.

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Detailed Solution

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Wheel can climb τ=F(2R cosθ)-mgR cosθ

R cosθ (2F-mg)=τ

τcosθ

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τ=Fr-mg cosθ τ increases with θ

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A wheel of radius R and mass M is placed at the bottom of a fixed step of height R as shown. A constant force is applied on the surface of the wheel so that it just climb the step without slipping then