Physics Two Dimensional Motion Question 348
Question: A mass is supported on a frictionless horizontal surface. It is attached to a string and rotates about a fixed centre at an angular velocity $ {\omega _{0}} $ . If the length of the string and angular velocity are doubled, the tension in the string which was initially $ T _{0} $ is now
[AIIMS 1985]
Options:
A) $ T _{0} $ B) $ T _{0}/2 $ C) $ 4T _{0} $ D) $ 8T _{0} $
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Answer:
Correct Answer: D
Solution:
Tension in the string $ T _{0}=mR\omega _{0}^{2} $ In the second case$ T=m(2R)(4\omega _{0}^{2})=8mR\omega _{0}^{2} $
$ =8T _{0} $
BETA
