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 $
