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Question: A rectangular frame is to be suspended symmetrically by two strings of equal length on two supports ...

A rectangular frame is to be suspended symmetrically by two strings of equal length on two supports as shown in the figure. It can be done in one of the following three ways

The tension in the strings will be

A

The same in all cases

B

Least in (i)

C

Least in (ii)

D

Least in (iii)

Answer

Least in (ii)

Explanation

Solution

: Let M be the mass of rectangular frame and θ\thetabe the angle which the tension T in the string makes with the horizontal.

Refer figure, then

T is least if sinθ=1=sin90\sin \theta = 1 = \sin 90 ^ { \circ }

Thus option (3) is correct.