A uniform thin rod of mass and length is to rotate about an axis perpendicular to the…

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Torque and Rotational Dynamics · Torque and Rotational Dynamics

Problem

A uniform thin rod of mass

M

and length

L

is to rotate about an axis perpendicular to the rod and passing through one of its ends. (i) Starting from the standard value of the moment of inertia of the rod about an axis through its centre and perpendicular to the rod, derive an expression for the moment of inertia about the given end axis. (ii) Hence obtain an expression for the corresponding radius of gyration

k_{\text{end}}

in terms of

L

. (iii) For

L = 0.60\,\text{m}

, calculate the numerical value of

k_{\text{end}}

Related theory

Moment of Inertia

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