A cylindrical spring consists of a rubber annulus bonded to a rigid ring and shaft. If the ring is held fixed and a torque T is applied to the rigid shaft, determine the angle of twist of the shaft. The shear modulus of the rubber is G . Hint: As shown in the figure, the deformation of the element at radius r can be determined from rdθ= drγ . Use this expression along with to obtain the result.
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