JEE Main & Advanced
Physics
Two Dimensional Motion
Question Bank
Uniform Circular Motion
question_answer
Three identical particles are joined together by a thread as shown in figure. 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]
A) 3 : 5 : 7
B) 3 : 4 : 5
C) 7 : 11 : 6
D) 3 : 5 : 6
Correct Answer:
D
Solution :
Let \[\omega \] is the angular speed of revolution \[{{T}_{3}}=m{{\omega }^{2}}3l\] \[{{T}_{2}}-{{T}_{3}}=m{{\omega }^{2}}2l\] Þ \[{{T}_{2}}=m{{\omega }^{2}}5l\] \[{{T}_{1}}-{{T}_{2}}=m{{\omega }^{2}}l\Rightarrow {{T}_{1}}=m{{\omega }^{2}}6l\] \[{{T}_{3}}:{{T}_{2}}:{{T}_{1}}=3:5:6\]