A pendulum has a period of 5.8 s.  If you were to transfer this pendulum to the surface of Mars (where g is 3.71 meters per second squared), what would the period (in seconds) be?

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Use dimensional analysis to determine how the period T of a swinging pendulum (the elapsed time for a complete cycle of motion) depends on some, or all, of these properties: the length L of the pendulum, the mass m of the pendulum bob, and the gravitational field strength g (in m/s2). Assume that the amplitude of the swing (the maximum angle that the string makes with the vertical) has no effect on the period.

Suppose you measure that a pendulum makes 3 oscillations in 10.04 seconds. In units of Hertz, what is the frequency of oscillation?

If D = (6.00î – 4.00ĵ) m, B = (-3.0oî + 5.00ĵ) m, and A = (-24.0î + 4.00ĵ) m, find the unknown constants a and b such that aD + bB + A = 0. a = b =

Problem 3:  The frequency of oscillation of a pendulum on a different planet is 3.3 Hz, and the acceleration due to gravity is 290 m/s2 Calculate, in meters, the length of the pendulum.

A 1.8 kg mass attached to a horizontal spring  oscillates at a frequency of 2.1 Hz. At t =0 s, the mass is at x= 2 m and has vx =− 3 m/s. What is the total  energy (in Joules)?

If a spring is stretched 2.0 cm by a suspended object having a mass of0.55 kg, what is the force constant of the spring?

The diameter of a car's suspension spring decreases uniformly. The force exerted by the spring is given by F = axb. Consider a suspension spring that compresses x1 = 12.4 cm with a 1,000 N load and x2 = 34.0 cm with a 5,000 N load. (Due to the nature of this problem, do not use rounded intermediate values in your calculations—including answers submitted in WebAssign.) (a) Find the constants a (in units of N/mb) and b. a=              b=   (b) Calculate the work (in J) needed to compress the spring 24.0 cm. (Assume the spring is not initially compressed.)                   J