A rod without a mass is 2 meters in length. On each end of the rod is a 2 kg mas

Question

A rod without a mass is 2 meters in length. On each end of the rod is a 2 kg mass. (a) Calculate the moment of inertia of this rod about an axis that is perpendicular to the center of the rod. (b) Find its angular momentum if the rod rotates through that same axis with an angular velocity of 10 rad/s. A rod without a mass is 2 meters in length. On each end of the rod is a 2 kg mass. (a) Calculate the moment of inertia of this rod about an axis that is perpendicular to the center of the rod. (b) Find its angular momentum if the rod rotates through that same axis with an angular velocity of 10 rad/s. A rod without a mass is 2 meters in length. On each end of the rod is a 2 kg mass. (a) Calculate the moment of inertia of this rod about an axis that is perpendicular to the center of the rod. (b) Find its angular momentum if the rod rotates through that same axis with an angular velocity of 10 rad/s.

Explanation / Answer

Moment of inertia MOI= MR^2

Total MOI for both masses =2MR^2

MOI=2x2x(1)^2=4 kg m^2

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angular momentum L= w*I

=10*4=40 kgm^2/s

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