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A wire of length 1 and radius r has mass m and the Young's modulus of elasticity y. It is suspended vertically from a fixed point. Calculate (i) the increase in length of wire produced due to its own weight. (ii) tension at middle point of the wire.

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Let g be the acceleration due to gravity As the wire is suspended vertically, its entire weight will act downwards due to gravity and will cause increse in length of the wire which is given as l(increase in length)= (W(weight of the wire)*L(Length of the wire))/A(Cross sectional area of wire)*Y(Young's...
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Let g be the acceleration due to gravity As the wire is suspended vertically, its entire weight will act downwards due to gravity and will cause increse in length of the wire which is given as l(increase in length)= (W(weight of the wire)*L(Length of the wire))/A(Cross sectional area of wire)*Y(Young's Modulus) l=mg*1/πr² *Y =mg/Yπr² Tension is T= mg + ma But acceleration of the mass is zero. Hence Tension will be mg. But at the mid point of the wire the tension will be cause only due to half the weight of the wire lying below the mid point. Hence T=mg/2 read less
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