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  • A body of weight 100 N is suspended with the help of strings as shown in figure. The tensions T1 and T2 will be <img alt="" src="https://cdn.entrance360.com/media/uploads/2020/11/03/smart

A body of weight 100 N is suspended with the help of strings as shown in figure. The tensions T1 and T2 will be

Option: 1

73.2 and 89.65
 


Option: 2

53.4 and 65.7


Option: 3

34.7 and 45.8

 


Option: 4

47.3 and 78.7


Answers (1)

best_answer

Solution

Free body diagram of block

Resolution of forces along the horizontal direction gives:

T_{1}\cos 30^{o}=T_{2}\cos 45^{o}

T_{1}\times \frac{\sqrt{3}}{2}=T_{2}\times \frac{1}{\sqrt{2}}

or, \ T_{2}=\frac{\sqrt{3}}{\sqrt{2}}T_{1}

Resolution of forces along vertical direction gives:

T_{1}\sin 30^{o}+T_{2}\sin 45^{o}=100 N

T_{1}\times \frac{1}{2}+\sqrt{\frac{3}{2}}T_{1}\times \frac{1}{\sqrt{2}} =100 N

T_{1}= 73.2 N

T_{2}= 89.65 N

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rishi.raj

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