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Question: The pulleys and string shown in figure are smooth and of negligible mass. For the system to remain i...

The pulleys and string shown in figure are smooth and of negligible mass. For the system to remain in equilibrium, the angle θshould be

A

00

B

300

C

450

D

600

Answer

450

Explanation

Solution

Here T = mg………. (i)

and 2T cos θ = (2 m)( \sqrt { 2 } \mathrm {~m} ) g ………. (ii)

(

Dividing (ii) by (i)

cos θ = 12\frac { 1 } { \sqrt { 2 } } or θ = 450