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Two spheres of equal masses are attached...


Two spheres of equal masses are attached to a string of length 2 m as shown in figure. The string and the spheres are then whirled in a horizontal circle about O at a constant rate. What is the value of the ratio of their tension:

A

`(1)/(2)`

B

`(2)/(3)`

C

`(3)/(2)`

D

2

Text Solution

Verified by Experts

The correct Answer is:
B

We know that centripetal force `=mromega^2`. Tension in the string between P and O is equal to the tension in the string between the sphere P and Q `+` centripetal force required for the sphere P. In other words, we can form the equation of force.
For P, `T_1-T_2=mxx1omega^2`
For Q, `T_2=mxx2omega^2`
Adding, `T_1=3momega^2implies(T_2)/(T_1)=(2momega^2)/(3momega^2)=(2)/(3)`
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