Two masses, m each, are placed at the points (x, y)3(a, a) and (-a, -a), and two masses, 2m each, are placed at the points (a,-a) and (-a, a). The principal moments of inertia of the system are (a) 2ma', 4ma? (b) 4ma', 8ma? (c) 4ma', 4ma? (d) 8ma, 8ma?

Two masses, m each, are placed at the points (x, y)3(a, a) and (-a, -a), and two masses, 2m each, are placed at the points (a,-a) and (-a, a). The principal moments of inertia of the system are (a) 2ma', 4ma? (b) 4ma', 8ma? (c) 4ma', 4ma? (d) 8ma, 8ma?

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.19P

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Concept explainers

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.

Question

Two masses, meach, are placed at the points (x, y) =(a, a) and (-a, -a), and two masses, 2m each, are
placed at the points (a,-a) and (-a, a). The principal moments of inertia of the system are
(a) 2ma', 4ma?
-(b) 4ma², 8ma?
(c) 4ma', 4ma?
(d) 8ma", 8ma?

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