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Physics - Rotation Question with Solution | TestHub

PhysicsRotationRotational KinematicsMedium2 minPYQ_2020

PhysicsMediummultiple choice

A simple pendulum of length $ℓ$ is displaced so that its taught string is horizontal and then released. A uniform bar pivoted at one end is simultaneously released from its horizontal position. If their motions are synchronous, what is the length of the bar?

Options:(select one or more)

Answer:

Solution:

Hint: $v = 2 g h$ $= 2 g ∣ sin θ$
$ω_{1} = \frac{v}{l} = \frac{2 g s i n θ}{1}$ $m g h = \frac{1}{2} l ω^{2}$
$\Rightarrow mg \cdot \frac{l ^{'} s i n θ}{2} = \frac{1}{2} \times \frac{ml ^{2}}{3} \times ω_{2}^{2}$ $ω_{2} = \frac{3 g s i n θ}{l} = ω_{1} \Rightarrow \frac{2}{l} = \frac{3}{l}$ $\Rightarrow I^{'} = \frac{3}{2} I$

Stream:WBJEESubject:PhysicsTopic:RotationSubtopic:Rotational Kinematics

⏱ 2mℹ️ Source: PYQ_2020

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