Question

17 a). A simple pendulum on the surface of Earth is found to undergo 12.0 complete small-amplitude oscillations in 7.35 s. Find the pendulum\'s length. 17 b): A 126-kg sculpture hangs from a horizontal rod that serves as a pivot about which the sculpture can oscillate. The sculpture\'s moment of inertia with respect to the pivot is 11.3 kg·m2, and when it is swung at small amplitudes, it is found to oscillate at a frequency of 0.539 Hz. How far is the pivot from the sculpture\'s center of mass?

Answer 1

17) a)

Number of oscillations   , time taken for oscillations

Time period of pendulum

Length of pendulum is

b)

Time period of pendulum ,  

The pivot is at a distance of from sculpture's center of mass.