Physics 218: Mechanics Instructor: Dr. Tatiana Erukhimova Lecture 31 Hw: Chapter 13 problems and exercises

Quiz Suppose a particle of mass m is attracted to the origin with a force proportional to the inverse square of the distance to the origin, r: Calculate the work done by this force: a) if the particle moves from A to B where A and B are points on a circle, centered at the origin; b) If the particle moves out along a radius vector from B (r B from the origin) to C (r C from the origin).

A ball of mass m is swung around a circle at the end of a string of length L. The string will break if the tension in it exceeds a critical value, T c. What is the largest constant angular velocity the ball can have without breaking the string?

A ball of mass m is swung around a circle at the end of a string of length L. What is the minimum  the ball can have and still travel in a circle without string becoming slack?

A mass M is going around in a circle on a string on a frictionless table and the string goes through a hole where it is attached to a hanging mass m. If the mass M is going around with constant, what must the distance from the mass M to the hole be if the mass m is to remain at rest? M m

A plane is flying in an arc at the speed of v 0. At the top of arc the passengers experience a sense of weightlessness. What is the radius of the arc?

Platform rotates with angular acceleration  (t)=  t. A man starts a distance L from the center and walks in along a straight line painted on the platform towards the center. He decreases his distance from the center as a constant rate, v c. What force does the platform exert on the man, as a function of his distance from the center?

Have a great day! Hw: Chapter 13 problems and exercises