Question

Centripetal Force

In your text, the author derived an equation for centripetal acceleration starting with a particle moving with constant speed in a circle of radius r.

1. In the space provided below, show this derivation in detail. See Section 6.2 in your book.

2. In addition, apply Newton's 2nd law to this particle to show that the magnitude of the net force responsible for the motion is given by the following equation.

Fc=mv^2/r This net force, which is the sum of the forces acting, is called the centripetal force.

3. Be sure to include a detailed diagram in your derivation.

4. Draw a free body diagram indicating the forces acting on the rotating mass, when the string is vertical.

To verify the centripetal force equation above, you will make measurements on a system that will allow you to compare the value of the force obtained by using the above equation to its value obtained by independent means. The independent means will measure the force of the static system necessary to hold the mass out the same distance as it was when rotating.

Answer 1

I don't know what is written in your text and you have not provided section 6.2 . So, i am deriving the centripetal acceleration in an easy manner.

(1) The direction of centripetal acceleration is always towards the center.

Derivation of magnitude :-

note that, centrifugal force is a pseudo force.

For any doubt please comment.

Did you know that, asking more than one question at a time is against the policy. Still i am answering all your questiones. So please give an up-vote. Thank you.