A rope is wrapped around a hollow cylinder with a mass of \(3~\text{kg}\) and a radius of \(40~\text{cm}.\) What is the angular acceleration of the cylinder if the rope is pulled with a force of \(30~\text N?\)
1. \(0.25 ~\text{rad/s}^2 \) 2. \(25 ~\text{rad/s}^2 \)
3. \(5 ~\text{m/s}^2 \) 4. \(25 ~\text{m/s}^2 \)
Subtopic:  Rotational Motion: Dynamics |
 74%
Level 2: 60%+
NEET - 2017
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Two rotating bodies \(A\) and \(B\) of masses \(m\) and \(2m\) with moments of inertia \(I_A\) and \(I_B\) \((I_B>I_A)\) have equal kinetic energy of rotation. If \(L_A\) and \(L_B\) be their angular momenta respectively, then:
1. \(L_{A} = \frac{L_{B}}{2}\)
2. \(L_{A} = 2 L_{B}\)
3. \(L_{B} > L_{A}\)
4. \(L_{A} > L_{B}\)

Subtopic:  Rotational Motion: Dynamics |
 72%
Level 2: 60%+
NEET - 2016
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A uniform circular disc of radius \(50~\text{cm}\) at rest is free to turn about an axis that is perpendicular to its plane and passes through its centre. It is subjected to a torque that produces a constant angular acceleration of \(2.0~\text{rad/s}^2.\) Its net acceleration in \(\text{m/s}^2\) at the end of \(2.0~\text s\) is approximately:

1. \(7\) 2. \(6\)
3. \(3\) 4. \(8\)
Subtopic:  Rotational Motion: Dynamics |
 60%
Level 2: 60%+
NEET - 2016
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