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Q.

A uniform meter stick of mass 200 gm is suspended from the ceiling through two vertical strings of equal lengths fixed at the ends.  A small object of mass 40 g is placed on the stick at a distance of 70 cm from the left end.  Find the tensions in the two strings.

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a

Tension in left end is 1.12 N

b

Tension in right end is 1.28 N

c

Tension in right end is 1.12 N

d

Tension in left end is 1.28 N

answer is A, B.

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Detailed Solution

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T1+T2=M+mg=0.2410=2.4N

The net torque about T1 is zero

T2100(50)Mg70mg=0

T2=Mg2+710mg=22+(7)0.04

=1+0.28=1.28N

T1=2.4T2=2.41.28=1.12N

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A uniform meter stick of mass 200 gm is suspended from the ceiling through two vertical strings of equal lengths fixed at the ends.  A small object of mass 40 g is placed on the stick at a distance of 70 cm from the left end.  Find the tensions in the two strings.