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Question

# A triangular set square of angles 30∘,60∘,90∘ and if negligible mass is suspended freely from the right angled corner and weights are hung at the two corners. If the hypotenuse of the set square sets horizontally, then the ratio of the weights W1/W2 is:-

A
1:1
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B
1:3
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C
3:1
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D
1:3
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Solution

## The correct option is C √3:1As the hyptonuse of the set equare remains horizontal therfore, net torque cting on it becomes zeroSo, xl1=tan300⇒l1=xtan30=√3xSimilarly,xl2=tan600⇒l2=xtan60=x√3thus,W1L1=W2L2W1W2=x√3×√3xW1W1=13hence,W1:W2=1:3

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