Question

When a particle is moving in a circular path, it's projection along diameter executes​

Answer 1

Answer:

If the particle moves with uniform speed in a circle, the projection of its path along its diameter is an oscillatory motion.

Answer 2

When a particle is moving in a circular path, it's projection along diameter executes​ a oscillation.

Suppose the diameter of the circle = 2R

So, the radius = R

If the particle is moving in circular path, it means it is covering the perimeter of the circle.

If we consider a small part of it, then the projections will be:

R Sinθ

R Cosθ

If θ is the small angle created by it.

So, the equation will be,

x² = R² Sin² θ + R² Cos² θ

⇒ x² = R² (Sin²θ + Cos²θ)

which represents that the motion will be oscillatory.