Tossup

As gradients of this quantity tend to zero, the Green–Lagrange tensor and Euler tensor are approximately equal. This quantity is the partial derivative of capital U with respect to Q-sub-i, a fact that is used in Castigliano’s method for finding this quantity. Subtracting the identity matrix from the deformation gradient tensor gives a tensor named for this quantity that is assumed to be negligible in infinitesimal (-5[1])strain theory. Forms of this quantity for a rigid body are related by Chasles’s (“shahl’s”) theorem (-5[1])to a screw type of this quantity. Lagrange’s (-5[1])equation states the following: [read slowly] the partial of L with respect to this quantity equals d-by-dt of the partial (10[1])of L with respect to this-quantity-dot.” (10[2])If acceleration is constant, (10[1])this quantity (10[1]-5[1])equals “v-t plus one-half-a-t-squared.” (10[7]-5[3])For 10 points, (10[1])what quantity (10[2])is the (-5[1])vector analogue of distance? (10[1])■END■ (10[5])

ANSWER: displacement [or position; accept displacement field or displacement gradient tensor or screw displacement or generalized displacement; prompt on x; prompt on q; prompt on generalized coordinates by asking “what quantity is being generalized?”; reject “distance”]
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