Pr5. 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 equi- librium position. (The sphere rolls without slip- ping on the surface. The moment of inertia of a homogeneous sphere of mass m and radius R is 2mR® /5.) R/2

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Pr5. 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 equi-
librium position. (The sphere rolls without slip-
ping on the surface. The moment of inertia of a
homogeneous sphere of mass m and radius R is
2mR* /5.)
R/2
Transcribed Image Text:Pr5. 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 equi- librium position. (The sphere rolls without slip- ping on the surface. The moment of inertia of a homogeneous sphere of mass m and radius R is 2mR* /5.) R/2
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