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 speed of the outermost particle is $v_{0}$ , then the ratio of tensions in the three sections of the string is : (Assume that the string remains straight)

Open in App

Solution

According to the question we know that we have to find ratio of tension in the three section of string.
So let's suppose angular speed of thread is equal to 'W' by each string length.
In case of particle C $= T_{3} = m W^{2} 3 l = 3 m W^{2} l$
In case of particle B $= T_{2} - T_{3} = 3 m W^{2} l$ so, $T_{2} = 5 m W^{2} l$
In case of particle B $= T_{1} - T_{2} = 2 m W^{2} l$ so, $T_{1} = 6 m W^{2} l$
Hence the ratio will become $3 : 5 : 6$

Suggest Corrections

Similar questions

Q. 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 speed of the outermost particle is

v_{0}

then the to ratio of tensions in the three sections of the string is: (Assume that the string remains straight)

Q. Three identical particles are joined together by a thread as shown in the figure. All the three particles are moving on a smooth horizontal plane about point

Q

. If the speed of the outermost particle is

V_{o}

, then the ratio of tensions,

T_{1}

T_{2}

T_{3}

, in the three sections of the string is (Assume that the string remains straight).

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 $v_{0}$ , then the ratio of tensions in the three sections of the string is

Q. Three identical particles are joined together by a thread as shown in figure. All the three particles moving in a horizontal plane. If the velocity of the outermost particle is

v_{0}

then the ratio of tensions in the three sections of the string is then

Q. Three identical particles are joined together by a thread as shown. All the three particles are moving in a horizontal plane. If the velocity of the outermost particle is

v_{0}

then the ratio of tensions in the three sections of the string is

Join BYJU'S Learning Program