The ball isn\'t moving fast enough at the top for a cable tension to exist, and

Question

The ball isn't moving fast enough at the top for a cable tension to exist, and so just falls freely (like a free-falling body) until it's yanked by the cable somewhere near the bottom. For this and the rest of the problems with this pendulum, assume small oscillations. What is the period of the pendulum? 1 s 4.9 s 8.9 s 17.7 s We can't tell without knowing the amplitude of the oscillation. Suppose at time t = 0, the pendulum is at theta = 3 degree and moving at 1.0 m/s. What is the initial angular speed? .05 degree/s .71 degree/s 2.9 degree/s 12 degree/s 41 degree/s The equation describing the oscillation of the pendulum with the previous problem's initial conditions is theta(t) = A cos(omega t) + B sin(omega t) What are A and B?

Explanation / Answer

21)

since the timeperiod

T = 2pi sqrt (L/g)

so answer is

e) we cant tell without knowing the amplitude of oscillation

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