Differentiate the equation twice with respect to t first of all, and see if you can relate the position vector to the acceleration vector.Slayedr said: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?
"Force acting on the particle is always directed towards the center" is a principle in physics that states that any force acting on a particle will always be directed towards the center of its circular motion.
This principle is important because it helps us understand the motion of objects in circular motion, such as planets orbiting around the sun or electrons moving around the nucleus of an atom.
The center is significant because it is the point towards which the force is always directed, regardless of the position of the particle in its circular motion. This allows us to calculate the magnitude and direction of the force acting on the particle.
Yes, this principle applies to all types of forces, including gravitational, electric, and magnetic forces. As long as the particle is in circular motion, the force acting on it will be directed towards the center.
This principle is closely related to Newton's first law of motion, also known as the law of inertia. It states that an object in motion will continue in motion in a straight line unless acted upon by an external force. In circular motion, the force acting towards the center is what keeps the particle moving in a curved path instead of a straight line.