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A physical pendulum in the form of a planar object moves in simple harmonic motion with a frequency of 0.540 Hz. The pendulum has a mass of 2.40 kg, and the pivot is located 0.320 m from the center of mass. Determine the moment of inertia of the pendulum about the pivot point. kg.m? Need Help? Read Master 3. -/1 points Ser PSE10 15.XP.001. My Notes Ask Your Teacher v, and a the angular frequency of oscillation is an (Submit a file with a maximum size The initial position, velocity, and acceleration of an object moving in simple harmonic motion are x of 1 MB.) (a) Show that the position and velocity of the object for all time can be written as the following X() - CO(0) Sine ) ve) - -* sin(at) + V, cos(at) (b) If the amplitude of the motion is A, show that the following equation holds true. wa waxy--wA Choose no te selected This answer has not been graded yet. Need Help? Read 4. -/2 points My Notes Ask Your Teacher The time period of oscillation of a pendulum on Earth is 2s. If you transport the pendulum to the moon, where the acceleration due to gravity is six times lower, what would be the time period of oscillation for the same pendulum? Now, let us transport the same pendulum to the surface of a white dwarf star. The acceleration due to gravity on a white dwarfs surface is about 250,000 times more than that of the Earth. What is the time period of oscillations of the pendulum on the white dwarf?