The properties of a spring are such that a load of 2 g produces an extension of 1.7 cm. A mass of 0.1 kg hangs at the end of the spring in equilibrium. The mass is then pulled vertically downward through a distance of 6 cm and released. Calculate the period of vibration of the 0.1 kg mass. Give your answer in SI units.

A tall building is swaying back and forth on a gusty day. The wind picks up and doubles the amplitude of the oscillation.By what factor does the maximum speed of the top of the building increase?By what factor does the maximum acceleration of the top of the building increase?

An object weighing 32 lb stretches a spring 2ft in equilibrium. There is also a damping force with c = 8. The spring is raised 2 ft and thrown upwards with a velocity of 4ft/sec. Determine the mass m and the spring constant k, and give the differential equation describing the harmonic motion of this system. Solve the differential equation to find the displacement y.

In the experiment, you will study an oscillator called a "torsion pendulum." In this case, the restoring "force" is the torsion constant of the wire that suspends the weight X and the inertial term is the rotational inertia of the suspended mass. You will compare the periods of a suspended sphere and of a suspended cube. The rotational inertia of a sphere is Is = 1/10msD^2, where ms is the mass of the sphere and D is its diameter. The rotational inertia of a cube is Ic = 1/6mcS^2, where mc is the mass of the cube and S is the length of its side. If the cube and the sphere are suspended from the same wire, what is the expected ratio of their periods, Tc/Ts? Assume that D = S, ms = 0.20kg, and mc = 0.5 kg.