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Question: A boy and a man carry a uniform rod of length L horizontally in such a way that boy gets (1/4)th loa...

A boy and a man carry a uniform rod of length L horizontally in such a way that boy gets (1/4)th load. If the boy is at one end of the rod, the distance of the man from the other end is -

A

L3\frac{L}{3}

B

L4\frac{L}{4}

C

2L3\frac{2L}{3}

D

3L4\frac{3L}{4}

Answer

L3\frac{L}{3}

Explanation

Solution

Q N1 = W4\frac{W}{4} \ N2 = W – W4=3W4\frac{W}{4} = \frac{3W}{4}

Also N1 × L2\frac{L}{2} = N2 × (L2x)\left( \frac{L}{2} - x \right)Ž W4×L2=3W4×(L2x)\frac{W}{4} \times \frac{L}{2} = \frac{3W}{4} \times \left( \frac{L}{2} - x \right) Ž x = L3\frac{L}{3}