[SADT] The parametric equations for the motion of a charged particle released from rest in electric and magnetic fields at right angles to each other take the forms x = a(0 – sine),y = a(1 - cose). Show that %3D the tangent to the curve has slope cot(5). Use this result at a few calculated values of x and y to sketch the form of the particle's trajectory.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter8: Polar Coordinates And Parametric Equations
Section8.CT: Chapter Test
Problem 8CT
Question
[SADT] The parametric equations for the
motion of a charged particle released from
rest in electric and magnetic fields at right
angles to each other take the forms
x = a(0 – sine),y = a(1 - cose). Show that
the tangent to the curve has slope cot(,).
Use this result at a few calculated values of
x and y to sketch the form of the particle's
trajectory.
Transcribed Image Text:[SADT] The parametric equations for the motion of a charged particle released from rest in electric and magnetic fields at right angles to each other take the forms x = a(0 – sine),y = a(1 - cose). Show that the tangent to the curve has slope cot(,). Use this result at a few calculated values of x and y to sketch the form of the particle's trajectory.
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