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Physics - Rotation Question with Solution | TestHub

PhysicsRotationTranslational + RotationalHard2 minQB

PhysicsHardmultiple choice

A wedge of mass M is placed on a smooth horizontal plane and a cylinder of mass m is placed on the wedge as shown in the figure. The contact surface between cylinder and wedge is rough enough. Choose the correct option(s) : (Use m = M, $θ = 4 5^{\circ}$ )

Options:(select one or more)

Answer:

A, C

Solution:

$\frac{a}{2} - a^{'} = a^{'} \Rightarrow a = 22 a^{'}$

$\frac{mg}{2} - f_{s} + \frac{ma}{2} = ma \Rightarrow \frac{mg}{2} - f_{s} + \frac{m}{2} (\frac{a}{2 2}) = ma \frac{mg}{2} - f_{s} = \frac{3 ma}{4} f_{s} R = \frac{mR ^{2}}{2} α \Rightarrow f_{s} = \frac{ma}{2} \frac{mg}{2} - \frac{ma}{2} = \frac{3 ma}{4} \Rightarrow \frac{mg}{2} = \frac{5 ma}{4} \Rightarrow a = \frac{2 2 g}{5} a^{'} = \frac{g}{5}, α = \frac{a}{R} = \frac{2 2 g}{5 R}$

Stream:JEESubject:PhysicsTopic:RotationSubtopic:Translational + Rotational

⏱ 2mℹ️ Source: QB

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