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Question: Three blocks A, B and C weighing 1, 8 and 27 kg respectively are connected as shown in the figure wi...

Three blocks A, B and C weighing 1, 8 and 27 kg respectively are connected as shown in the figure with an inextensible string and are moving on a smooth surface. T3T _ { 3 } is equal to 36 N. Then T2T _ { 2 } is

A

18 N

B

9 N

C

3.375 N

D

1.25 N

Answer

9 N

Explanation

Solution

T2=(mA+mB)T _ { 2 } = \left( m _ { A } + m _ { B } \right) × T3mA+mB+mC\frac { T _ { 3 } } { m _ { A } + m _ { B } + m _ { C } }

T2=(1+8)×36(1+8+27)=9 NT _ { 2 } = ( 1 + 8 ) \times \frac { 36 } { ( 1 + 8 + 27 ) } = 9 \mathrm {~N}