I need help with number 72. Thank You Suppose that the Sun runs out of nuclear f

Question

I need help with number 72. Thank You

Suppose that the Sun runs out of nuclear fuel and suddenly collapses to form a white dwarf star, with a diameter equal to that of Earth. Assuming no mass loss, what would then be the Sun's new rotation period, which currently is about 25 days? Assume that the Sun and the white dwarf are uniform, solid spheres. A uniform rod rotates in a horizontal plane about a vertical axis through one end. The rod is 6.00 m long, weighs 10.0 N. and rotates at 250 rev/min clockwise when seen from above. Calculate (a) the rotational inertia of the rod about the axis of rotation and (b) the angular momentum of the rod about that axis. A 3 0 kg toy car moves along an x axis with a velocity given by v = For / > 0. what are (a) the angular momentum of the car and (b) the torque r on the car. both calculated about the origin? What are (e) L and (f), about a point at coordinates (2.0 m, 5.0 m, 0)? What are (e) L and (f) t about, ordinates (2.0 m. -5.0 m. 0)?

Explanation / Answer

The mass of the rod, m = w/g = 10.0N/9.8 = 1.02 kg (a) the moment of inertia of the rod along the rotational axis I = ml^2/3 = 1.02*36/3 = 12.244 kg.m^2 the moment of inertia of the rod is 12.244 kg.m^2. (b) the angular momentum L = Iw L = 12.244*250/60 L = 51.02 kg.m^2/s the angular momentum of the rob about the axis is 51.02 kg.m^2/s.

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