A 3 kg object oscillates on a horizontal spring with an amplitude of 8 cm. Its m

Question

A 3 kg object oscillates on a horizontal spring with an amplitude of 8 cm. Its maximum acceleration is 27 m/s2. Find the spring force constant the frequency the time for which x = 5 cm the velocity when the object is at x = 2 cm. The position of a particle is x = (3 cm)cos (5 pi t), where t is in seconds. What is the frequency, the amplitude of the particle's motion and the maximum velocity? What is the first time after t = 0 that the particle is at its equilibrium position? A mass of 0.075 kg oscillates on a light spring and another 0.075 kg mass oscillates as the bob of a simple pendulum in SUM. If the pendulum length is 0.30 m, what would be the spring constant of the spring if the periods of oscillations of the two systems are the same? A steel piano wire of 1.0 m long has a linear mass density of 0.006 kg/m. The tension in the wire is adjusted so that the frequency is 500 Hz and the wavelength is 2 m. Calculate the speed of a transverse wave in the string and the tension in the string.

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