Multiple Choice

  • Thread starter lobbob
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  • #1
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Homework Statement



If a particle moves in a plane so that its position is described by the functions
x=Acosωt, and y= Asinωt, it is
(A) moving with varying speed along a circle
(B) moving with constant speed along a circle
(C) moving with constant acceleration along a straight line
(D) moving along a parabola
(E) oscillating back and forth along a straight line

Homework Equations



None

The Attempt at a Solution



Don't understand the problem. I just need to know how to start it.
 

Answers and Replies

  • #2
Nathanael
Homework Helper
1,650
239

Homework Statement



If a particle moves in a plane so that its position is described by the functions
x=Acosωt, and y= Asinωt, it is
(A) moving with varying speed along a circle
(B) moving with constant speed along a circle
(C) moving with constant acceleration along a straight line
(D) moving along a parabola
(E) oscillating back and forth along a straight line

Homework Equations



None

The Attempt at a Solution



Don't understand the problem. I just need to know how to start it.
Those two functions describe the x coordinate and the y coordinate at any (and every) time "t"

What path do you think the particle will move along and why?
(In other words, what are all the possible (x,y) coordinates for all the times "t"?)
 
  • #3
NascentOxygen
Staff Emeritus
Science Advisor
9,244
1,072
Don't understand the problem. I just need to know how to start it.
You probably won't succeed in answering this confidently without an understanding of SHM, as the question basically is testing your knowledge of the topic.

A good place to start might be here: http://en.wikipedia.org/wiki/Simple_harmonic_motion
 
  • #4
tms
644
17

Homework Statement



If a particle moves in a plane so that its position is described by the functions
x=Acosωt, and y= Asinωt, it is
(A) moving with varying speed along a circle
(B) moving with constant speed along a circle
(C) moving with constant acceleration along a straight line
(D) moving along a parabola
(E) oscillating back and forth along a straight line

Homework Equations



None

The Attempt at a Solution



Don't understand the problem. I just need to know how to start it.
Just plug in a few sample values and see what you get. Where is the particle when ##\omega t## is 0? When it is ##\pi / 2##? When ##\pi##? When ## 2 \pi##?
 

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