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To measure the magnitude of the acceleration due to gravity g in an unorthodox manner, a student places a ball bearing on the concave
To measure the magnitude of the acceleration due to gravity g in an unorthodox manner, a student places a ball bearing on the concave side of a flexible speaker cone ( Figure 1). The speaker cone acts as a simple harmonic oscillator whose amplitude is A and whose frequency f can be varied. The student can measure both A and f with a strobe light. Take the equation of motion of the oscillator as y(t) = A cos (wt + ), where w = 2f and the y axis points upward. figure < 1 of 1 > If the ball bearing has mass m, find N (t), the magnitude of the normal force exerted by the speaker cone on the ball bearing as a function of time. Your result should be in terms of A, either f (or w), m, g, a phase angle &, and the constant T. View Available Hint(s) N (t) = m (g- Awcos (wt + p)) Submit Part B Correct g= Previous Answers The frequency is slowly increased. Once it passes the critical value for the student hears the ball bounce. There is now enough information to calculate 9. What is g? Express the magnitude of the acceleration due to gravity in terms of and A. View Available Hint(s) -- Submit ?
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