Problem (1) (25 points) A particle of mass m moves in its elliptical orbit as shown in the figure. The position vector o
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Problem (1) (25 points) A particle of mass m moves in its elliptical orbit as shown in the figure. The position vector o
Problem (1) (25 points) A particle of mass m moves in its elliptical orbit as shown in the figure. The position vector of the particle is given as follows: ült) F(t) = Rsin(wt) i + 2 cos(wt) (a) (6 pts.) Find the velocity of the particle as a function of time. (b) (6 pts.) Find the acceleration of the particle as a function of time. (c) (6 pts.) Find the angle between the velocity and the acceleration at t = (d) (7 pts.) Find the angular momentum of the particle with respect to point O. Is there an external torque on this particle?
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