6. A metal ring of initial radius r and cross-section A is fitted on a

1.	6. A metal ring of initial radius r and cross-section A is fitted on a wooden disc ofradius R (R > r). If Young's modulus ofthe metal is Y, then the tension in thering is
Answer» Young's modulus of elasticity is given by,Y = Fl / AxF = YAx / l But, l = 2πrAnd x = 2πR - 2πr = 2π(R-r) Hence, force of expansion is-F = YA × 2π(R-r) / 2πrF = YA(R-r) / r Force acting on expanding ring is YA(R-r)/r.

6. A metal ring of initial radius r and cross-section A is fitted on a wooden disc ofradius R (R > r). If Young's modulus ofthe metal is Y, then the tension in thering is

Answer»

Young's modulus of elasticity is given by,Y = Fl / AxF = YAx / l

But, l = 2πrAnd x = 2πR - 2πr = 2π(R-r)

Hence, force of expansion is-F = YA × 2π(R-r) / 2πrF = YA(R-r) / r

Force acting on expanding ring is YA(R-r)/r.

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6. A metal ring of initial radius r and cross-section A is fitted on a wooden disc ofradius R (R &gt; r). If Young's modulus ofthe metal is Y, then the tension in thering is

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6. A metal ring of initial radius r and cross-section A is fitted on a wooden disc ofradius R (R > r). If Young's modulus ofthe metal is Y, then the tension in thering is