(c) A cylindrical rod of uniform density is located with its center at the origi

Question

(c) A cylindrical rod of uniform density is located with its center at the origin, and its axis along the z axis. Its radius is 0.08 m, its length is 0.7 m, and its mass is 2 kg. It makes one revolution every 0.06 s. If you stand on the +x axis and look toward the origin at the rod, the rod spins clockwise. What is the rotational angular momentum of the rod? What is the rotational kinetic energy of the rod? (Express your answer for rotational angular momentum in vector form.) Lrot 8.89,0,0 kg m2/ Krot = 465 J

Explanation / Answer

Angular momentum = i w = 1/12 m(l^2+3r^2) w = 1/12*2*(0.7^2+3*0.08^2)*(-2pi/0.06) = (-8.89 i ) kgm/s

L = [ - 8.89 , 0 ,0] because it ha only -x

Krot = 0.5 i w^2 = 0.5* 1/12*2*(0.7^2+3*0.08^2)*(-2pi/0.06)^2 = 465 J answer

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