How to solve these three questions?

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Question: A mass oscillates on the end of a spring. The velocity of the mass is described by the following function: v(t) = 4.62 sin(0.820t + 1.02) m/S. Part 1) What is the period of motion? Part2) Write an expression for the displacement of the mass from equilibrium. Part 3) What is the acceleration of the mass when t = 13.9 s? a =| \\ms'2 A physical pendulum is constructed from a disk with radius r = 12.8 cm attached to the end of a rod of length L = 0.616 m. The pendulum is pivoted from one end of the rod. The rod has a mass of 318 g and the disk has a mass of 557 g. Pivot Figure 1: A pendulum consisting of a rod of length L and a disk of radius r. The top of the rod is attached to a pivot point and the bottom of the rod is attached to the edge of the disk. Part 1) What is the moment of inertia of the disk about the pivot point? Idisk = m2 kg Hint: Use the parallel axis theorem. This states that I about a pivot point is given by I = Icm + mad, where m is the mass of the object, d is the distance between the centre of mass and the pivot point and Icm is the moment of inertia about the centre of mass. Part 2) How far from the pivot point is the centre of mass of the system? h = m Part 3) What is the period of this pendulum? T: s Question: As a longitudinal wave passes through a medium, a particle making up the medium with an equilibrium position of x = 1.73 m undergoes simple harmonic motion described by the equation s(t) = 4.72 COS(5.89t + 5.730) cm. The wavelength is 39.2 cm. Part 1) What is the maximum speed of a particle making up the medium? W... Part 2) What is the wave speed? 0: m/s Part 3) Write an equation to describe the wave as a function of x and t, where x is in m and I is in s. The wave is travelling in the positive direction. 3(x, t) = ' Sill(' P 111