An object of mass M is attached to a string. The length of the string is r and has no mass. The objects moves in a vertical circle counterclockwise as shown. When the ball is at point F, the string is horizontal. Point E is at the bottom of the circle and point D is at the top of the circle. Air resistance is negligible. Express all algebraic answers in terms of the given quantities and fundamental constants. a. On the figures below, draw and label all the forces exerted on the ball when it is at points F and E, respectively. T is the Tension in string whin object is atE b. Derive an expression for vias the minimum speed the ball can have at point D to complete the loop.
An object of mass M is attached to a string. The length of the string is r and has no mass. The objects moves in a vertical circle counterclockwise as shown. When the ball is at point F, the string is horizontal. Point E is at the bottom of the circle and point D is at the top of the circle. Air resistance is negligible. Express all algebraic answers in terms of the given quantities and fundamental constants. a. On the figures below, draw and label all the forces exerted on the ball when it is at points F and E, respectively. T is the Tension in string whin object is atE b. Derive an expression for vias the minimum speed the ball can have at point D to complete the loop.
Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.9P: Consider a projectile fired vertically in a constant gravitauonal field. For the same initial...
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