Q1
Angular momentum $L$ is related to moment of inertia $I$ and angular velocity $\omega$ by:
📝 SolutionAngular momentum is the rotational analogue of linear momentum, given by $L = I\omega$, similar to $p = mv$.
Q2
The law of conservation of angular momentum explains why a spinning ice skater speeds up when she:
📝 SolutionPulling arms inward decreases moment of inertia $I$. Since $L = I\omega$ is conserved (no external torque), a decrease in $I$ causes $\omega$ to increase, spinning faster.
Q3
A rigid body is in mechanical equilibrium when:
📝 SolutionFor complete mechanical equilibrium of a rigid body, both the vector sum of forces (translational equilibrium) and the vector sum of torques (rotational equilibrium) must be zero.
Q4
For a rolling body without slipping, the velocity of the point of contact with the ground is:
📝 SolutionIn pure rolling (no slipping), the point of contact is instantaneously at rest relative to the ground, since the translational velocity $v = R\omega$ exactly cancels the rotational velocity at that point.
Q5
The moment of inertia of a solid sphere about its diameter is:
📝 SolutionThe standard result for a solid sphere rotating about a diameter is $I = \frac{2}{5}MR^2$, smaller than that of a hollow sphere or ring of the same mass and radius.
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Class 11 · Physics
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