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Question: In the arrangement shown, the pulleys are fixed and ideal, the strings are light, m<sub>1</sub> = m<...

In the arrangement shown, the pulleys are fixed and ideal, the strings are light, m1 = m2, and S is a spring balance which is itself massless. The reading of S (in units of mass) is-

A

m1

B

12\frac { 1 } { 2 } (m1 + m2)

C

m1 + m2

D

2 m1 m2 m1+m2\frac { 2 \mathrm {~m} _ { 1 } \mathrm {~m} _ { 2 } } { \mathrm {~m} _ { 1 } + \mathrm { m } _ { 2 } }

Answer

m1

Explanation

Solution

Reading = Tg\frac { \mathrm { T } } { \mathrm { g } } = 2 m1 m2 m1+m2\frac { 2 \mathrm {~m} _ { 1 } \mathrm {~m} _ { 2 } } { \mathrm {~m} _ { 1 } + \mathrm { m } _ { 2 } }