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11.2 A mass oscillates on a spring of force constant 25.0 N/m and is subjected to...

11.2 A mass oscillates on a spring of force constant 25.0 N/m and is subjected to a damping force Fx = ?bvx , where b = 2.40 kg/s. (a) What special value of the mass m determines whether the mass undergoes underdamped oscillations, is critically damped, or is overdamped? (b) If m is eight times this special value, how long does it take for the amplitude to be reduced by 50%? What is the period of the oscillation? Plot the position as a function of time for the first two cycles, assuming an initial amplitude of 10 cm and initial phase angle ? of zero.

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