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Physics - Rotation Question with Solution | TestHub

PhysicsRotationTranslational + RotationalMedium2 minQB

PhysicsMediumsingle choice

A solid sphere of mass m and radius R is gently placed on a rough horizontal ground with an angular speed $ω_{0}$ and no linear velocity. Coefficient of friction is $μ$ .

Find the time t when the slipping stops.

Options:

Answer:

Solution:

Friction f = μmg acts forward

$a = \frac{f}{m} = μg$

$α = \frac{f R}{\frac{2}{5} m R ^{2}} = \frac{5 μg}{2 R}$

Slipping stops when v = Rω

$μg t = R (ω_{0} - \frac{5 μg}{2 R} t)$

$t = \frac{2 R ω _{0}}{7 μg}$

Answer: B

Stream:JEESubject:PhysicsTopic:RotationSubtopic:Translational + Rotational

⏱ 2mℹ️ Source: QB

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