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Consider a thin rod of length L=2.58m and mass m1=1.27 kg, and a hollow (empty) sphere...

Consider a thin rod of length L=2.58m and mass m1=1.27 kg, and a hollow (empty) sphere of radius R=0.16 m and mass of m2=0.82 kg. Sphere is at one end of the rod and the other end of the rod is fixed and oscillate like a pendulum (simple harmonic oscillations, SHM) with small-angle oscillations. When ? ?? ?????, ???? ≈ ?. a) Derive a second order differential equation for this pendulum to confirm the oscillation is SHM.(b) Compare the above equation to standard SHM equation and find an algebraic equation for the period of the oscillation? c) Calculate numerical value of the period of this pendulum? (3 points)

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