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... axle. It is initially stationary. A torque of 100 N m is applied to the axle for 100 s. (i) Calculate the final angular velocity of the flywheel. v = u + at = u + F/m t, so f = I + t = 0 + /I t = 2000 rads–1. (ii) Calculate the final angular momentum of the flywheel. L = If = 5  2000 = 10000 k ...
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... A ladder of length l = 20 meters weighing mL g = 500 Newtons rests against a wall at a point h = 12 meters above the ground. The center of mass of the ladder is at the center of the ladder. A man weighing mp g = 800 Newtons climbs a distance x = 15 meters up the ladder. The friction on the floor kee ...
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... On Earth, a baseball player can hit a ball 120 m by giving it an initial angle of 45° to the horizontal. Take the acceleration due to gravity as g = 10 m/s2. Suppose the batter repeats this exercise in a space “habitat” that has the form of a circular cylinder of radius R = 10 km and has an angular ...
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N-body problem

In physics, the n-body problem is the problem of predicting the individual motions of a group of celestial objects interacting with each other gravitationally. Solving this problem has been motivated by the desire to understand the motions of the Sun, Moon, planets and the visible stars. In the 20th century, understanding the dynamics of globular cluster star systems became an important n-body problem. The n-body problem in general relativity is considerably more difficult to solve.The classical physical problem can be informally stated as: given the quasi-steady orbital properties (instantaneous position, velocity and time) of a group of celestial bodies, predict their interactive forces; and consequently, predict their true orbital motions for all future times.To this purpose the two-body problem has been completely solved and is discussed below; as is the famous restricted 3-Body Problem.
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