Home
Class 12
PHYSICS
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:

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)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Two masses m and M are attached to the strings as shown in the figure. If the system is in equilibruim, then

Two masses m and M are attached to the strings as shown in the figure. If the system is in equilibrium, then

A sphere of mass 200 g is attached to an inextensible string of length 130 cm whose upper end is fixed to the ceilling . The sphere is made to describe a horizontal circle of radius 50 cm Calculate the periodic time of this conical pendulum and the tension in the string .

Three balls each of mass 1 kg are attached with three strings each of length 1 m as shown in figure. They are rotated in a horizontal circle with angular velocity omega=4"rad s"^(-1) about point O. Match the following columns.

A stone of mass 250 gram , attached at the end of a string of length 1.25 m is whirled in a horizontal circle at a speed of 5 m/s . What is the tension in the string ?

A sphere of mass 0.1kg is attached to an inextensible string of length 1.3m whose upper end is fixed to the ceilling The sphere is made to describe a horizontal circle of radius 0.5m Calculate time period of revolution and tension in the string .

A blocked of mass m is attached with two strings as shown in figure .Draw the free body diagram of the block.

A uniform sphere of weight W and radius 5 cm is being held by string as shown in the figure. The tension in the string will be

A rod is supported horizontally by means of two strings of equal length as shown in figure. If one of the string is cut. Then tension in other string at the same instant will.

A unifrom rod of mass m and length L is kept on a horizontal table with (L)/(4) length on the table. The end B is tied to a string as shown in the figure. The string attached to the end B is cut and the rod starts rotating about point C . Find the normal reaction from the table on the earth as soon as the string is cut.