Physics - Rotation Question with Solution | TestHub

PhysicsRotationRotational KinematicsMedium2 minQB

PhysicsMediumsingle choice

A solid cylinder of mass m and radius R is kept at rest on a plank of mass 2m lying on a smooth horizontal surface. Massless and inextensible string connecting cylinder to the plank is passing over a massless pulley. The friction between the cylinder and the plank is sufficient to prevent slipping. Pulley A is pulled with a constant horizontal force F.Magnitude of friction force acting on the plank is

Options:

Answer:

Solution:

$\frac{F}{2} - f = m a_{c m}$ (i) $f R = \frac{1}{2} m R^{2} α$ (ii)

$\frac{F}{2} + f = 2 ma (iii)$

For pure rolling $a_{c m} - R α = a$

$O n so l v in g f = \frac{F}{14}$

Stream:JEESubject:PhysicsTopic:RotationSubtopic:Rotational Kinematics

⏱ 2mℹ️ Source: QB

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