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Each of the three blocks P, Q and R shown in figure has a mass of 3 kg. Each of the wires A and B has cross sectional area `0.005 cm^2` and Young modulus `2xx10^11Nm^-2`. Neglect friction. Find the longitudinal strain developed in each of the wires. Take `g=10ms^-2`

Text Solution

Verified by Experts

The correct Answer is:
`(4)/(3) xx 10^(-4), (8)/(3) xx 10^(-4)`

`a = (40)/(12) = (10)/(3)m//s^(2)`
`T_(1) = (40)/(3)N, T_(2) = (80)/(3)N`
strain in wire `1 = (40)/(3 xx 5 xx 10^(-7) xx 2 xx 10^(11)) = (4)/(3) xx 10^(-4)`
strain in wire `2 = (80)/(3 xx 5 xx 10^(-7) xx 2 xx 10^(11)) = (8)/(3) xx 10^(-4)`
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