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University of Peradeniya Solve the Differential Equations Physics Questions

Overview

 physics questions

Six particles of mass 1kg are evenly spaced along a circle of radius 1 m. Masses exert a gravitational force of attraction proportional to thesquare of the distance between the masses. Consider the gravitational constant G = 1 Nm2/kg2.Initially the particles have a velocity of magnitude 0.1 m/s, counterclockwise,tangent to the circle. It is asked: a) The free-body diagram of the six masses. b) The equation of motion for each mass. c) Solve the differential equations of the item above numerically. d) Make a graph of the position of one of the particles in the x-y plane.