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A.) A simple pendulum is suspended from the ceiling by means of a string of length...

A.) A simple pendulum is suspended from the ceiling by means of a string of length 2.10 m. Assume that there is no friction or air resistance. Suppose you were to release the pendulum from rest, starting from an angle of 44.3 degrees with respect to the vertical, as shown. What will be the speed of the pendulum at the instant it swings through its lowest point (that is, when it s momentarily hanging vertically)?

B.) OK, once again we have a pendulum, this time of length 2.02 m, which you release from rest at an angle of 34.1 degrees to the vertical. What will be the speed of the pendulum at the instant it reaches an angle of 10.2 degrees above the vertical?

C.) This, the length of the pendulum is 2.07 m. Now you start with the pendulum at 24.2 degrees with respect to the vertical, but rather than releasing it from rest, you give it a push downward. It swings to the other side, and reaches a maximum angle of 30.3 degrees with respect to the vertical. What must have been the initial speed of the pendulum just after you pushed it?

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