Answered: particle

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section: Chapter Questions

Problem 43CT

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Question

A particle P of mass 0.5kg is initially at a fixed origin O. At time t=0, P is projected from O and moves so that, at time t seconds after projection, its position vector r m relative to O is given by

r=(t^3-12t)i+(4t^2-6t)j, t>or equal to 0

find:

a) the speed of projection of P

b) the value of t at the instant when P is moving parallel to j

c) the position vector of P at the instant when P is moving parallel to j

The motion of the particle is due to it being acted on by a single variable force FN

d) given that the mass of the particle is 0.5kg, find the magnitude of F when t=5s

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