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A particle is moving on top of a 2-dimensional. plane with its coordinates given in cartesian system as x(t) = a sin ωt, y(t) = a cos ωt. Express the motion of the particle in terms of polar coordinates (ρ, φ). What is the minimum number of generalised coordinates required to describe. its motion? Draw the. trajectory of the particle. Now if the particle trajectory is changed to the followings, repeat the exercise. x(t) = 2a sin ωt, y(t) = a cos 2ωt

A particle is moving on top of a 2-dimensional. plane with its coordinates given in cartesian system as x(t) = a sin ωt, y(t) = a cos ωt. Express the motion of the particle in terms of polar coordinates (ρ, φ). What is the minimum number of generalised coordinates required to describe. its motion? Draw the. trajectory of the particle. Now if the particle trajectory is changed to the followings, repeat the exercise. x(t) = 2a sin ωt, y(t) = a cos 2ωt

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A particle is moving on top of a 2-dimensional. plane with its coordinates given in
cartesian system as
x(t) = a sin ωt, y(t) = a cos ωt.
Express the motion of the particle in terms of polar coordinates (ρ, φ). What is the minimum number
of generalised coordinates required to describe. its motion? Draw the. trajectory of the particle.
Now if the particle trajectory is changed to the followings, repeat the exercise.
x(t) = 2a sin ωt, y(t) = a cos 2ωt

Problem 2 A particle is moving on top of a 2-dimensional. plane with its coordinates given in cartesian system as x(t) = a sin wt, y(t) = a cos wt. Express the motion of the particle in terms of polar coordinates (p, ø). What is the minimum number of generalised coordinates required to describe. its motion? Draw the. trajectory of the particle. Now if the particle trajectory is changed to the followings, repeat the exercise. x(t) = 2a sin wt, y(t) = a cos 2wt
Transcribed Image Text:Problem 2 A particle is moving on top of a 2-dimensional. plane with its coordinates given in cartesian system as x(t) = a sin wt, y(t) = a cos wt. Express the motion of the particle in terms of polar coordinates (p, ø). What is the minimum number of generalised coordinates required to describe. its motion? Draw the. trajectory of the particle. Now if the particle trajectory is changed to the followings, repeat the exercise. x(t) = 2a sin wt, y(t) = a cos 2wt
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