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A pendulum is made of a uniform solid sphere with mass M and radius R suspended from the end of a light rod. The distance from the pivot at the upper end of the rod to the center of the sphere is L. The pendulum's moment of inertia Ip for rotation about the pivot is usually approximated as ML?. Part A Use the parallel-axis theorem to show that if R is 5 % of L and the mass of the rod is ignored, Ip is only 0.1 % greater than ML². Essay answers are limited to about 500 words (3800 characters maximum, including spaces). 3800 Character(s) remaining Submit Request Answer Part B If the mass of the rod is 1 % of M and R is much less than L, what is the ratio of Irod for an axis at the pivot to ML2 ? Express your answer using two significant figures. P Pearson A pendulum is made of a uniform solid sphere with mass M and radius R suspended from the end of a light rod. The distance from the pivot at the upper end of the rod to the center of the sphere is L. The pendulum's moment of inertia Ip for rotation about the pivot is usually approximated as ML?. Submit Request Answer Part B If the mass of the rod is 1 % of M and R is much less than L, what is the ratio of Irod for an axis at the pivot to ML? ? Express your answer using two significant figures. Irod ML? Submit Request Answer

A pendulum is made of a uniform solid sphere with mass M and radius R suspended from the end of a light rod. The distance from the pivot at the upper end of the rod to the center of the sphere is L. The pendulum's moment of inertia Ip for rotation about the pivot is usually approximated as ML?. Part A Use the parallel-axis theorem to show that if R is 5 % of L and the mass of the rod is ignored, Ip is only 0.1 % greater than ML². Essay answers are limited to about 500 words (3800 characters maximum, including spaces). 3800 Character(s) remaining Submit Request Answer Part B If the mass of the rod is 1 % of M and R is much less than L, what is the ratio of Irod for an axis at the pivot to ML2 ? Express your answer using two significant figures. P Pearson A pendulum is made of a uniform solid sphere with mass M and radius R suspended from the end of a light rod. The distance from the pivot at the upper end of the rod to the center of the sphere is L. The pendulum's moment of inertia Ip for rotation about the pivot is usually approximated as ML?. Submit Request Answer Part B If the mass of the rod is 1 % of M and R is much less than L, what is the ratio of Irod for an axis at the pivot to ML? ? Express your answer using two significant figures. Irod ML? Submit Request Answer

Physics for Scientists and Engineers: Foundations and Connections
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter12: Rotation I: Kinematics And Dynamics
Section: Chapter Questions
Problem 78PQ
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A pendulum is made of a uniform solid sphere with mass M and radius R suspended from the end of a light rod. The distance from the pivot at the upper end of the rod to the center of the sphere is L. The pendulum's moment of inertia Ip for rotation about the pivot is usually approximated as ML?. Part A Use the parallel-axis theorem to show that if R is 5 % of L and the mass of the rod is ignored, Ip is only 0.1 % greater than ML². Essay answers are limited to about 500 words (3800 characters maximum, including spaces). 3800 Character(s) remaining Submit Request Answer Part B If the mass of the rod is 1 % of M and R is much less than L, what is the ratio of Irod for an axis at the pivot to ML2 ? Express your answer using two significant figures. P Pearson
Transcribed Image Text:A pendulum is made of a uniform solid sphere with mass M and radius R suspended from the end of a light rod. The distance from the pivot at the upper end of the rod to the center of the sphere is L. The pendulum's moment of inertia Ip for rotation about the pivot is usually approximated as ML?. Part A Use the parallel-axis theorem to show that if R is 5 % of L and the mass of the rod is ignored, Ip is only 0.1 % greater than ML². Essay answers are limited to about 500 words (3800 characters maximum, including spaces). 3800 Character(s) remaining Submit Request Answer Part B If the mass of the rod is 1 % of M and R is much less than L, what is the ratio of Irod for an axis at the pivot to ML2 ? Express your answer using two significant figures. P Pearson
A pendulum is made of a uniform solid sphere with mass M and radius R suspended from the end of a light rod. The distance from the pivot at the upper end of the rod to the center of the sphere is L. The pendulum's moment of inertia Ip for rotation about the pivot is usually approximated as ML?. Submit Request Answer Part B If the mass of the rod is 1 % of M and R is much less than L, what is the ratio of Irod for an axis at the pivot to ML? ? Express your answer using two significant figures. Irod ML? Submit Request Answer
Transcribed Image Text:A pendulum is made of a uniform solid sphere with mass M and radius R suspended from the end of a light rod. The distance from the pivot at the upper end of the rod to the center of the sphere is L. The pendulum's moment of inertia Ip for rotation about the pivot is usually approximated as ML?. Submit Request Answer Part B If the mass of the rod is 1 % of M and R is much less than L, what is the ratio of Irod for an axis at the pivot to ML? ? Express your answer using two significant figures. Irod ML? Submit Request Answer
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