A metal cylinder of length L and radius R is fixed rigidly to ground with its axis vertical. A twisting torque `tau_(0)` is applied along the circumference at the top of the cylinder. This causes an angular twist of `theta_(0)` (rad) in the top surface. Calculate the shear modulus of elasticity `(eta)` of the material of the cylinder.
A metal cylinder of length L and radius R is fixed rigidly to ground with its axis vertical. A twisting torque `tau_(0)` is applied along the circumference at the top of the cylinder. This causes an angular twist of `theta_(0)` (rad) in the top surface. Calculate the shear modulus of elasticity `(eta)` of the material of the cylinder.
Text Solution
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The correct Answer is:
`(2l tau_(0))/(pi R^(4) theta_(0))`
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