Question

The motion of a particle in the x-y plane is described by a set of following equations x = `4 sin(pi/2 - omegat)` m and y = 4 sin(ωt)m. The path of the particle will be ______.

Options

• circular

• helical

• parabolic

• elliptical

Answer 1

The motion of a particle in the x-y plane is described by a set of following equations x = `4 sin(pi/2 - omegat)` m and y = 4 sin(ωt)m. The path of the particle will be circular.

Explanation:

x = `4 sin(pi/2 - omegat)` = 4cosωt

Y = 4sinωt

So, x² + y² = 4², which is the equation of the circle.