Solution Found!
Solved: A conical pendulum is formed by attaching a ball
Chapter 8, Problem 8.74(choose chapter or problem)
A conical pendulum is formed by attaching a ball of mass m to a string of length L, then allowing the ball to move in a horizontal circle of radius r. FIGURE P8.47 shows that the string traces out the surface of a cone, hence the name. a. Find an expression for the tension T in the string. b. Find an expression for the balls angular speed v. c. What are the tension and angular speed (in rpm) for a 500 g ball swinging in a 20-cm-radius circle at the end of a 1.0-m-long string?
Questions & Answers
QUESTION:
A conical pendulum is formed by attaching a ball of mass m to a string of length L, then allowing the ball to move in a horizontal circle of radius r. FIGURE P8.47 shows that the string traces out the surface of a cone, hence the name. a. Find an expression for the tension T in the string. b. Find an expression for the balls angular speed v. c. What are the tension and angular speed (in rpm) for a 500 g ball swinging in a 20-cm-radius circle at the end of a 1.0-m-long string?
ANSWER:Step 1 of 4
It is given that the length of the string is 
In order to determine the tension (T) in the string, we have to resolve the components of tension along horizontal and vertical directions.
The diagram can be shown as,
