ES 2120 Exam 3 November 16, 2009 ________ 10 points Name: ______________________________________________________________________ 1) True/False Questions (2 points each). a. Trueor False: The translation of a rigid body is equivalent to a rotation about an infinitely distant axis. b. Trueor False: The angular velocity of a rigid body that undergoes plane motion depends on the reference line from which its angle of rotation is measured. c. Trueor False: When a wheel rolls on pavement, the instantaneous center of the wheel is located on the wheel axle. d. Trueor False: If the motion of a rigid body is a translation, the moment of the external forces about any axis is zero. e. Trueor False: The mass moment of inertia of a rigid body with respect to a reference axis is proportional to its mass and is a constant that is independent of the reference axis ________ 10 points 2) Using integration, verify that the mass moment of inertia of the rod about the xx- and yy-axes equal 1/12ml2. Using the parallel-axis theorem, verify that Ix’x’and Iy’y’equal 1/3ml2.
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