A cube of polymer that is 0.05 m on each side is to be held in place with a clamp. The clamp is designed to compress the 0.05-m-thick polymer by a constant amount of 0.0001 m to provide the clamping force. The maximum clamping force that is allowable is 1×104 N. To keep the polymer block securely clamped, the clamping force cannot fall below 0.5×104 N for one year, which is the expected life for this device. Assume that this polymer behaves as a Maxwell solid and that the viscous component is Newtonian.
(a) What is the maximum possible elastic modulus in the polymer that will result in the maximum allowable clamping force?
(b) Assuming that a polymer is selected that has the highest allowable elastic modulus, what is the minimum allowable viscosity?
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