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Question: Three equal weights of mass m each are hanging on a string passing over a fixed pulley as shown in f...

Three equal weights of mass m each are hanging on a string passing over a fixed pulley as shown in figure. What is the tension in the string connecting the weights B and C?

A

Zero

B

mg3\frac { \mathrm { mg } } { 3 }

C

2mg3\frac { 2 \mathrm { mg } } { 3 }

D

mg

Answer

2mg3\frac { 2 \mathrm { mg } } { 3 }

Explanation

Solution

T1 – mg = ma ... (1)

T2 + mg – T1 = ma ... (2)

and mg – T2 = ma ... (3)

adding (1), (2) and (3), we get

mg = 3ma or a = g/3 \ T2 = 2mg3\frac { 2 \mathrm { mg } } { 3 }