A conical pendulum is formed by attaching a ball of Point of support mass m to a string of length L, then allowing the ball to move in a horizontal circle of radius r. Figure shows that the string traces out the surface of a cone, hence the name. L a. Find an expression for the tension T in the string. b. Find an expression for the ball’s 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?

Physics for Scientists and Engineers: Foundations and Connections
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Chapter12: Rotation I: Kinematics And Dynamics
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A conical pendulum is formed by attaching a ball of
Point of
support
mass m to a string of length L, then allowing the ball to
move in a horizontal circle of radius r. Figure 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 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
m
of a 1.0 [m] long string?
Transcribed Image Text:A conical pendulum is formed by attaching a ball of Point of support mass m to a string of length L, then allowing the ball to move in a horizontal circle of radius r. Figure 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 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 m of a 1.0 [m] long string?
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