For the figure shown knowing that a = 1.00 cm and b = 4.00 cm, determine: (a) The centroid of the figure shown. b) The moments of inertia Ix and Iy and the product of inertia Ixy about the x and y axes. c) The angle m corresponding to the location of the principal axes. d) For the u-v axes shown and obtained by rotating an angle = 34.0° clockwise, the corresponding moments and product of inertia using Mohr's circle.

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Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.