Home
Class 12
PHYSICS
An L-shaped object, made of thin rods of...

An L-shaped object, made of thin rods of uniform mass density, is suspended with a string as shown in figure. If AB=BD, and the angle made by AB with downward vertical is `theta`, then :

A

`tan theta = 2/sqrt(3)`

B

`tan theta =1/(2sqrt(3))`

C

`tan theta = 1/3`

D

`tan theta =1/2`

Text Solution

Verified by Experts

The correct Answer is:
C
For equilibrium of L-shaped object the line of action of Tension is along a vertical line passing through its centre of mass (Com). Suppose total mass is 2M.

In `trianglePQC`
`tan theta =(L//4)/(3L/4) = 1/3 rArr` i.e., option (C)
Promotional Banner

Similar Questions

Explore conceptually related problems

A rod AB moves with a uniform velocity v in a uniform magnetic field as shown in figure.

A non-uniform bar of weight W and weight L is suspended by two strings of neigligible weight as shown in figure. The angles made by the strings with the vertical are theta_1 and theta_2 respectively. The distance d of the centre of gravity of the bar from left end is. .

A uniform rod of mass m and length L is suspended with two massless strings as shown in figure. If the rod is at rest in a horizontal position the ratio of tension in the two strings T_(1)//T_(2) is

A uniform rod of mass m and length L is suspended with two massless strings as shown in the figure. If the rod is at rest in a horizontal position the ratio of tension in the two strings T_1/T_2 is:

Two identical small charged spheres, each having a mass m, hang in equilibrium as shown in fig. the ligth of each string is l, and the angle made by any string with the vertical is theta . Find the magnitude of the charge on each sphere.

A rod OA is suspended with the help of a massless string AB as shown in figure. Rod is hinged at point O . Draw free body diagrame of the rod.

A thin uniform rod of length L is bent at its mid point as shown in the figure. The distance of the centre of mass from the point O is

A uniform rod of mass m and length l is suspended by means of two light inextensible strings as shown in figure. Tension in one string immediately after the other string is cut is

A uniform rod of mass m and length l is hanged by two stirngs as shown in figure. Suddenly one string is cut. The tension in other string at this instant is

A smalll bob attached to a string of length l is suspended from a rigid support and rotates with uniform speed along a circle in a horizontal plane. Let theta be the angle made by the string with the vertical, then the length of a simple pendulum having the same period is