Question

Motion of a particle in x – y plane is described by a set of following
$x = 4sin (\frac{π}{2} - ωt )m$
and y = 4sin(ω t) m. The path of the particle will be

• A. Circular
• B. Helical
• C. Parabolic
• D. Elliptical

Answer 1

Answer: (A)

Circular

Answer 2

The correct answer is (A) : Circular
$x = 4sin (\frac{π}{2} - ωt )$
$= 4cos(ωt)$
$y = 4 sin(ωt)$
$⇒ x^2 + y^2 = 4^2$
⇒ The particle is moving in a circular motion with radius of 4 m.