Determine the moment of inertia of the cone with respect to a vertical y axis passing through the cone's center of mass. What is the moment of inertia about a parallel axis y' that passes through the diameter of the base of the cone? The cone has a mass m.

Determine the moment of inertia of the cone with respect to a vertical y axis passing through the cone's center of mass. What is the moment of inertia about a parallel axis y' that passes through the diameter of the base of the cone? The cone has a mass m.

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 9.3P: The moments of inertia of the plane region about the x- and u-axes are Ix=0.4ft4 and Iu=0.6ft4,...

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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

Determine the moment of inertia of the cone with respect to
a vertical y axis passing through the cone's center of mass.
What is the moment of inertia about a parallel axis y' that
passes through the diameter of the base of the cone? The
cone has a mass m.
h
E

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Step 2: Calculation of mass equation

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Step 3: Calculation of moment of inertia about y-axis

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Step 4: Calculation of moment of inertia about centroidal axis

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Step 5: Calculation of the moment of inertia about the axis passing through the diameter

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