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A hula hoop hangs from a peg. Find the period of the hoop
Chapter 13, Problem 64P(choose chapter or problem)
Problem 64P
A hula hoop hangs from a peg. Find the period of the hoop as it gently rocks back and forth on the peg. (For a hoop with axis at the rim I = 2mR2, where R is the radius of the hoop.)
Questions & Answers
QUESTION:
Problem 64P
A hula hoop hangs from a peg. Find the period of the hoop as it gently rocks back and forth on the peg. (For a hoop with axis at the rim I = 2mR2, where R is the radius of the hoop.)
ANSWER:
Step 1 of 2
The moment of inertia of the hoop with its axis the rim is given by,
Here is the mass of the hoop, is the radius of the hoop and is the moment of inertia of the hoop.
The time period of the physical pendulum is given by,
Here is the acceleration due to gravity whose value is equal to .