A light rod AB of length 2 m is suspended from the ceiling horizontally by means of two vertical wires as shown in Fig. One of the wires is made of steel of cross-section 0.1 cm2 and the other of brass of cross-section 0.2 cm2. The Young's modulus of brass is 1.0 ×1011 Nm−2 and of steel is 2.0×1011 Nm−2. A weight W is hung at point C at a distance x from end A. It is found that the stress in the two wires is the same when x=n3 metre. Find the value of n.

A light rod AB of length 2 m is suspended from the ceiling horizontall

1.	A light rod AB of length 2 m is suspended from the ceiling horizontally by means of two vertical wires as shown in Fig. One of the wires is made of steel of cross-section 0.1 cm2 and the other of brass of cross-section 0.2 cm2. The Young's modulus of brass is 1.0 ×1011 Nm−2 and of steel is 2.0×1011 Nm−2. A weight W is hung at point C at a distance x from end A. It is found that the stress in the two wires is the same when x=n3 metre. Find the value of n.
Answer» A light rod $A B$ of length $2 m$ is suspended from the ceiling horizontally by means of two vertical wires as shown in Fig. One of the wires is made of steel of cross-section $0.1 {cm}^{2}$ and the other of brass of cross-section $0.2 {cm}^{2}$ . The Young's modulus of brass is $1.0 \times 10^{11} {Nm}^{- 2}$ and of steel is $2.0 \times 10^{11} {Nm}^{- 2}$ . A weight $W$ is hung at point $C$ at a distance $x$ from end $A$ . It is found that the stress in the two wires is the same when $x = \frac{n}{3} metre$ . Find the value of $n$ .

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