For planar motion in the xy plane, the resultant applied moments in the x and y direction (Mrx and Mry) are zero. The terms in the time rate of change of rigid body angular momentum expression involving products of inertia (lxz and Iyz) are related to Mrx and Mry, so these terms disappear. As a result, rigid body planar rotational kinetics can be summarized by Mrz = Iz(alpha)k where alpha is the rigid body's angular acceleration and k is the unit vector in the z-direction, and I, is the moment of inertia about the z-axis through the point of interest. True False

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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For planar motion in the xy plane, the resultant applied moments in the x and y direction (Mrx and Mry) are zero. The terms in the time rate of change of rigid body angular
momentum expression involving products of inertia (Ix7 and lyz) are related to Mrx and Mry, so these terms disappear. As a result, rigid body planar rotational kinetics can be
summarized by Mr7 = 1,(alpha)k where alpha is the rigid body's angular acceleration and k is the unit vector in the z-direction, and I, is the moment of inertia about the z-axis
through the point of interest.
True
False
Transcribed Image Text:For planar motion in the xy plane, the resultant applied moments in the x and y direction (Mrx and Mry) are zero. The terms in the time rate of change of rigid body angular momentum expression involving products of inertia (Ix7 and lyz) are related to Mrx and Mry, so these terms disappear. As a result, rigid body planar rotational kinetics can be summarized by Mr7 = 1,(alpha)k where alpha is the rigid body's angular acceleration and k is the unit vector in the z-direction, and I, is the moment of inertia about the z-axis through the point of interest. True False
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