Kinematics Question 800

Question: Three identical particles are joined together by a thread .All the three particles are moving in a horizontal plane.If the velocity of the outermost particle is v0, then the ratio of tensions in the three sections of the string is[UPSEAT 2003]

Options:

A) 3 : 5 : 7

B)3 : 4 : 5

C) 7 : 11 : 6

D)3 : 5 : 6

Show Answer

Answer:

Correct Answer: D

Solution:

Let $ \omega $ it’s the angular speed of revolution $ T _{3}=m{{\omega }^{2}}3l $

$ T _{2}-T _{3}=m{{\omega }^{2}}2l $

therefore $ T _{2}=m{{\omega }^{2}}5l $

$ T _{1}-T _{2}=m{{\omega }^{2}}l\Rightarrow T _{1}=m{{\omega }^{2}}6l $

$ T _{3}:T _{2}:T _{1}=3:5:6 $



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