MHT CET · Physics · Rotational Motion
A rigid body rotates about a fixed axis with variable angular velocity (\(\propto-\beta \mathrm{t}\)) at time t, where \(\propto\) and \(\beta\) are constants. The angle through which it rotates before it comes to rest is
- A \(\frac{\propto}{\beta}\)
- B \(\frac{\propto^2}{\beta}\)
- C \(\frac{\propto^2}{2 \beta}\)
- D \(\frac{\propto}{2 \beta}\)
Answer & Solution
Correct Answer
(C) \(\frac{\propto^2}{2 \beta}\)
Step-by-step Solution
Detailed explanation
When the body comes to rest, \(\omega = 0\). \(\alpha - \beta t = 0 \implies t = \frac{\alpha}{\beta}\)
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