1 A wooden wheel of radius R is made of two semi circular parts see...

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1 A wooden wheel of radius R is made of two semi circular parts see figure The two parts are held together by a ring made of a metal strip of cross sectional area S and length L L is slightly less than 2 TR To fit the ring on the wheel it is heated so that its temperature rises by AT and it just steps over the wheel As it cools down to surrounding temperature it presses the semicircular parts together If the coefficient of linear expansion of the metal is a and its Young s modulus is Y the force that one part of the wheel applies on the other part is a 2 SY AT c SY AT b SY AT d 2SY AT R

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