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Question: Answered & Verified by Expert
A ball of mass $m$ is tied up with string and rotated along a horizontal circle of radius $r$. At an instant, its velocity is $v$, and tension in string is $T$, the force required for circular motion is
PhysicsMotion In Two DimensionsAIIMSAIIMS 2013
Options:
  • A $T-\frac{m v^2}{r}$
  • B $T+\frac{m v^2}{r}$
  • C $\frac{m v^2}{r}$
  • D zero
Solution:
2876 Upvotes Verified Answer
The correct answer is: $\frac{m v^2}{r}$
From figure,

$\therefore \quad T \sin \theta=\frac{m v^2}{r}$

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