The position vector r Of a particle (relative to the origin) at time t is r = k cos ot i+ksin@tj where k and o are constants. (a) (b) (c) Show that the distance of the particle from the origin remains constant. Show that the speed of the particle is constant. Show that the acceleration of the particle is directed towards the origin and has magnitude proportional to distance from the origin. Show that the velocity of the particle is perpendicular to its (d) acceleration.

The position vector r Of a particle (relative to the origin) at time t is r = k cos ot i+ksin@tj where k and o are constants. (a) (b) (c) Show that the distance of the particle from the origin remains constant. Show that the speed of the particle is constant. Show that the acceleration of the particle is directed towards the origin and has magnitude proportional to distance from the origin. Show that the velocity of the particle is perpendicular to its (d) acceleration.

Trigonometry (MindTap Course List)

8th Edition

ISBN:9781305652224

Author:Charles P. McKeague, Mark D. Turner

Publisher:Charles P. McKeague, Mark D. Turner

Chapter3: Radian Measure

Section3.5: Velocities

Problem 62PS: A two-stage gear train consists of four gears meshed together (Figure 10). The second and third...

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