1.For a damped simple harmonic oscillator, the block has a mass of 2.3 kg and the...

1.For a damped simple harmonic oscillator, the block has a mass of 2.3 kg and the spring constant is 6.6 N/m. The damping force is given by -b(dx/dt), where b = 220 g/s. The block is pulled down 12.4 cm and released. (a) Calculate the time required for the amplitude of the resulting oscillations to fall to 1/8 of its initial value. (b) How many oscillations are made by the block in this time?

2.An oscillator consists of a block of mass 0.408 kg connected to a spring. When set into oscillation with amplitude 43 cm, the oscillator repeats its motion every 0.477 s. Find the (a) period, (b) frequency, (c) angular frequency, (d) spring constant, (e) maximum speed, and (f) magnitude of the maximum force on the block from the spring.

3.When the displacement in SHM is equal to 1/4 of the amplitude x_m, what fraction of the total energy is (a) kinetic energy and (b) potential energy? (c) At what displacement, in terms of the amplitude, is the energy of the system half kinetic energy and half potential energy? (Give the ratio of the answer to the amplitude)

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Expert Solution

genius_generous answered 2 years ago

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