Question

A particle is acted upon by two simple harmonic motions, Which one of the following diagrams correctly gives the resultant path of the particle when ϕ = π/2 ?

Answer 1

Correct option  (c) 

Explanation:

we have x = asin( ωt  + φ)

⇒ x = a cos ωt

squaring and adding  x²/a² + y²/b² = 1