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A conical pendulum is formed by attaching a ball of mass m
Chapter 8, Problem 36P(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 P8.36 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 ball's angular speed \(\omega\).
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 1.0m long string?
Equation Transcription:
Text Transcription:
m
L
r
T
omega
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 P8.36 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 ball's angular speed \(\omega\).
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 1.0m long string?
Equation Transcription:
Text Transcription:
m
L
r
T
omega
ANSWER:Step 1 of 3
The mass of the ball is “m”.
The length of the string is “L”.
Radius of the horizontal circle is “r”.
Diagrammatically,
First we have to find the angle of the string with respect to the vertical line.
So, 
As it is given in the 3rd part of the question that,
The mass of the ball is given as,
