Kinematics Question 798

Question: A mass is supported on a frictionless horizontal surface. 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} $ it’s now [AIIMS 1985]

Options:

A) $ T _{0} $

B) $ T _{0}/2 $

C) $ 4T _{0} $

D) $ 8T _{0} $

Show Answer

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} $



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