A pointlike body of mass m made of lead is fixed inside a homogeneous solid sphere of radius R and mass m at distance R/2 from the center of the sphere. This body is placed on a horizontal rough surface. Find the period of small oscillations of the sphere around its equilibrium position. (The sphere rolls without slipping on the surface. The moment of inertia of a homogeneous sphere of mass m and radius R is 2mR2/5.)
A pointlike body of mass m made of lead is fixed inside a homogeneous solid sphere of radius R and mass m at distance R/2 from the center of the sphere. This body is placed on a horizontal rough surface. Find the period of small oscillations of the sphere around its equilibrium position. (The sphere rolls without slipping on the surface. The moment of inertia of a homogeneous sphere of mass m and radius R is 2mR2/5.)
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter3: Vectors
Section: Chapter Questions
Problem 25PQ: Carolyn rides her bike 40.0 south of west for 5.40 miles as illustrated in Figure P3.25. What is the...
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A pointlike body of mass m made of lead is fixed inside a homogeneous solid sphere of radius R and mass m at distance R/2 from the center of the sphere. This body is placed on a horizontal rough surface. Find the period of small oscillations of the sphere around its equilibrium position. (The sphere rolls without slipping on the surface. The moment of inertia of a homogeneous sphere of mass m and radius R is 2mR2/5.)
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