A rigid body rotates about a fixed axis with variable angular velocity equal to - t at…
Physics · JEE Main · NTA Exams — Rotational Motion
A rigid body rotates about a fixed axis with variable angular velocity equal to \(\alpha-\beta t\) at time t where \(\alpha \text { and } \beta\) are constants. The angle through which it rotates before it comes to rest is:
- \(\frac{\alpha^{2}}{2 \beta}\)
- \(\frac{\alpha^{2}-\beta^{2}}{2 \alpha}\)
- \(\frac{\alpha^{2}-\beta^{2}}{2 \beta}\)
- \(\frac{\alpha(\alpha-\beta)}{2}\)
Answer
(A) ^ 2 2
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