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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 (T1: T2: T3 = ?) is

a
6:5:3
b
3:5:6
c
3:4:5
d
none of these

detailed solution

Correct option is A

v0=ω3l,v2=ω2l=2v03,v1=ωl=v03T3=mω23lT2−T3=mω22l⇒T2=5mω2lT1−T2=mω2l⇒T1=6mω2lT3:T2:T1=3:5:6

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