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AP Physics C: Mechanics
5.6 Newton’s Second Law in Rotational Form
5.4 Rotational Inertia
5.3 Torque
IntermediateMCQMathematicalProportional Analysis13.7k
Two identical rods with attached point masses and different pivot locations.
Two identical rods with attached point masses and different pivot locations.
Two identical uniform thin rods, each of mass \(M\) and length \(L\), are held horizontally and released from rest. Rod 1 is pivoted about a frictionless horizontal axis passing through its center of mass, and a small point mass of mass \(M\) is attached to one of its ends. Rod 2 is pivoted about a frictionless horizontal axis passing through one of its ends, and an identical point mass of mass \(M\) is attached to its opposite, free end. Immediately after release, what is the ratio of the angular acceleration of Rod 1 to the angular acceleration of Rod 2, \(\dfrac{\alpha_1}{\alpha_2}\)?

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