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A simple pendulum consists of a small object of mass m (the "bob") suspended by a cord of length l of negligible mass. A force F is applied in the horizontal direction (so F is Fi), moving the bob very slowly so the acceleration is essentially zero. (Note that the magnitude of F will need to vary with the angle that the cord makes with the vertical at any moment.)
A. Determine the work done by this force F to move the pendulum from theta=0 to theta=theta of 0 (initial)
B. Determine the work done by the gravitational force on the bob, Fg=mg and the work done by the force Ft that the cord exerts on the bob.
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