Q.

A mass M of 100 kg is suspended with the use of strings A, B and C as shown in fig. Here W is vertical wall and of is rigid horizontal rod. The tension in string B is

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a

(100 g)N

b

(100 √2 g)N

c

(100/√2 × g)N

d

zero

answer is A.

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Detailed Solution

Let T be the tension in the string C. ThenT cos⁡45∘=Mg   â€¦(1)and T sin⁡45∘= tension in B   â€¦(2)From eq. (i),  T=Mgcos⁡45∘=2MgFrom eq. (ii), tension in B=Tsin⁡45∘=(2Mg)×(1/2)=Mg=100g newton.
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A mass M of 100 kg is suspended with the use of strings A, B and C as shown in fig. Here W is vertical wall and of is rigid horizontal rod. The tension in string B is