Physics · Rotational Mechanics
A spherical ball of ice has radius R0 and is rotating with an angular speed ω about an axis passing through its centre. At time t = 0, it starts acquiring mass because the moisture (initially at rest) around it starts to freeze on it uniformly. As a result, its radius increases as R(t) = R0 + αt, where α is a positive constant. Which of the following statements best describes its angular momentum L with respect to time?
- 1L increases linearly with time.
- 2L decreases exponentially with time.
- 3L remains constant with time.✓
- 4L increases quadratically with time.
Correct answer
L remains constant with time.
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