Question

Three identical particles are joined together by a thread as shown in figure. All the three particles are moving on a smooth horizontal plane about point O. If the velocity of the outermost particle is v₀ , then the ratio of tensions in the three sections of the string is 

(A) 3:5:7 

(B) 3:4:5 

(C) 7:11:6 

(D) 3:5:6

Answer 1

Correct option is (D) 3:5:6

Let the angular speed of the thread is \(\omega\).

For particle C

T₃ = m\(\omega\)²3l

For particle B 

T₂ → T₃ = m\(\omega\)²2l → T₂ = m\(\omega\)²5l

For particle A

T₁ → T₂ = m\(\omega\)²l → T₁ = m\(\omega\)²6l

Answer 2

Correct answer is (D) 3:5:6