1. Suppose that a planar motion x of a particle A, of mass m = 2...

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1. Suppose that a planar motion x of a particle A, of mass m = 2 kg, is described by r = x(A,t) = xi + yj = 2(cos 3t i + sin3 t j) m (a) Calculate the velocity v and the acceleration a of A, and the force F that must be supplied. (b) Show that the speed || v ||= const. (c) Calculate the inner product F v. (d) Indicate the motion in a diagram and display the vectors r,v, a and F. (e) Calculate the cross product v a and evaluate it at t = 2 s. (f) Show that the motion satisfies the differential equations x + 9x = 0, y +9y=0 m/s. 1. Suppose that a planar motion x of a particle A, of mass m = 2 kg, is described by r = x(A,t) = xi + yj = 2(cos 3t i + sin3 t j) m (a) Calculate the velocity v and the acceleration a of A, and the force F that must be supplied. (b) Show that the speed || v ||= const. (c) Calculate the inner product F v. (d) Indicate the motion in a diagram and display the vectors r,v, a and F. (e) Calculate the cross product v a and evaluate it at t = 2 s. (f) Show that the motion satisfies the differential equations x + 9x = 0, y +9y=0 m/s.

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The planar motion chi of a particle A with mass m 2 kg is described by the vector function r chiAt xi yj 2cos 3t i 2sin 3t j m a Calculate the velocit... View the full answer