Question

Three equal weights of mass m each are hanging on a string passing over a fixed pulley as shown
in figure. What are the tensions in the string connecting weights A to B and B to C?
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Answer 1

SoLuTioN :

➡ Given :

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

➡ To Find :

✏ The tensions in the string connecting weights A to B and B to C.

Let,

• Tension in the string connecting weights B to C = T1
• Tension in the string connecting weights A to B = T2

✏ Please see the attachment for better understanding...

➡ Calculation :

✏ For block A

• T2 - mg = ma ..... (1)

✏ For block B

• mg + T1 - T2 = ma ..... (2)

✏ For block C

• mg - T1 = ma ..... (3)

✏ By adding (1), (2) and (3)... we get,

• mg = 3ma

• $\boxed{\sf{\red{a = \frac{g}{3}}}}$

✏ By adding (1) and (2) ... we get,

$\mapsto \sf \: T1 = 2ma \\ \\ \star \: \boxed{ \blue{ \sf{T1 = \frac{2mg}{3}}}} \: \star$

✏ By adding (2) and (3) ... we get,

$\mapsto \sf \: 2mg - T2 = 2ma \\ \\ \mapsto \sf \: 2m(g - a) = T2 \\ \\ \mapsto \sf \: 2m(g - \frac{g}{3} ) = T2 \\ \\ \star \boxed{ \green{ \sf{T2 = \frac{4mg}{3}}}}$

Answer 2

Pls mark as brainlist