Force acting on the particle is always directed towards the center

[Slayedr]

r=acos(wt)i+bsin(wt)j is the equation(it is an ellipse)

I need to somehow show that the force will always act towards the center.

Is there anyone who can possibly help?

 

[CAF123]

r=acos(wt)i+bsin(wt)j is the equation(it is an ellipse)

I need to somehow show that the force will always act towards the center.

Is there anyone who can possibly help?

Differentiate the equation twice with respect to t first of all, and see if you can relate the position vector to the acceleration vector.