11) A cylindrical rod of constant radius and constant shear modulus, G is of length L and located between z=0 and z=L. t=zsin(πZ/2L). call the polar moment of inertia J. The boundary conditions are Φ(0)=0 AND Φ(L)=0                                                                                                                                                      Find Φ(z) and graph (1/GJ)*Φ(Z),  and (1/GJ)*(dΦ/dz)   ?

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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.