Energy From Endpoints

Classical Mechanics Level 3

A rigid rod in the x y xy -plane is 2 m 2\text{ m} long and has a mass of 1 kg 1\text{ kg} . The rod is free to move.

The instantaneous velocity of one of its ends is ( v x 1 , v y 1 ) = ( 0 , 3 ) m/s , (v_{x_1},v_{y_1}) = (0,3)\text{ m/s}, and the instantaneous velocity of the other end is ( v x 2 , v y 2 ) = ( 2 , 1 ) m/s . (v_{x_2},v_{y_2}) = (2,1)\text{ m/s}.

What is the kinetic energy of the rod (in Joules, to 3 decimal places)?


The answer is 2.833.

Steven Chase by Steven Chase , 37, USA

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