A sphere of mass m is rolling without sliding along positive x-axis on a rough horizontal surface of coefficient of friction μ . It elastically collides with a wall and then returns. The correct statement of frictional force (f) acting on the sphere is

Question

A sphere of mass m is rolling without sliding along positive x-axis on a rough horizontal surface of coefficient of friction μ . It elastically collides with a wall and then returns. The correct statement of frictional force (f) acting on the sphere is, f ⁡ = μ mg i ^ before collision and f ⁡ = μ mg i ⁡ ^ after collision, f ⁡ = 0 before collision and f ⁡ = + μ mg i ⁡ ^ after collision, f ⁡ μ mg i ⁡ ^ before collision and f ⁡ = μ mg i ⁡ ^ just after collision, f ⁡ = μ mg before collision and just after collision

MARKS App · Accepted Answer

Before collision, pure uniform rolling therefore f = 0 After collision, point P is having net velocity along –x axis, Therefore f = + μ mg ∴ f ⁡ = 0 before collision and f ⁡ = + μ mg i ⁡ ^ after collision

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