MAE2102_Exam3_practice_C1 - Dynamics Practice Final 3-D...

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Dynamics: Practice Final – 3-D Kinematics of Rigid Bodies MAE-2102 1 Ver. C, Rev. 1 Show all work for partial credit. Use additional paper if necessary. 1. Find the components of the inertia matrix for the compound bar shown. The bar has a mass of 3 kg/m. (A slender bar has a moments of inertia about its center 1/12 m·l 2 , its moment of inertia about its long axis is zero, and its products of inertia about its center are zero). I xx = ___________________ kg·m 2 I zz = ___________________ kg·m 2 I yz = ___________________ kg·m 2 2. A certain rigid body has an inertia matrix of [I], given below. What is the body’s moment of inertia if it is spun about an axis in the direction u ˆ , also given below? [I]= 10 5 5 5 15 0 5 0 20 kg·m 2 = 5 / 4 0 5 / 3 ˆ u 3. A certain rigid body has an inertia matrix of [I], given below. What is the body’s angular momentum if it is spun with angular velocity
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MAE2102_Exam3_practice_C1 - Dynamics Practice Final 3-D...

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