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A 4.2‑kg brown hare walks on a horizontal beam (the beam's mass m = 2.8 kg and length a = 2.4 m). The beam is suspended with two ropes attached to the ends of the beam. What should be the distance between the hare and the left end of the beam so that the tension in the left rope is three times as big as the tension in the right rope?
1. The distance from the left end, b =
If the hare is at the distance found in the previous question, calculate the tension in each rope.
2. The tension in the left rope, T1 =
3. The tension in the right rope, T2 =
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A bike wheel has a radius of R = 0.62 m and a mass of m = 2.6 kg spins at 270 rpm. What is the angular momentum of the wheel? Assume that the wheel has a shape of a ring.
The angular momentum of the wheel, L ?
A typical bowling ball might have a mass of 7 kg and a radius of 12 cm. How fast the ball should spin to have the same angular momentum as the wheel from the previous question?
The angular speed of the ball, ω ?
Which of the above objects is harder to stop?
How strong torque is needed to completely stop the wheel in 2.5 sec time?
The torque needed to stop the wheel, τ ?
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