Question

9. 25 pts] A pendulum of mass m suspended from a string of length L has initial displacement and is released from rest. A. Write an equation for the pendulum's angular displacement as a function of time in terms of known variables. Describe how you arrived at your answer B. Sketch a qualitatively accurate graph of the pendulum's translational velocity vs time Label your scale in terms of the given quantities, and label your axes C. You make a second pendulum with the same mass and a different string (length L/4). You release the two pendula from rest with the same initial displacement. Determine the angular displacement of the new pendulum when the first pendulum returns to its original angular displacement for the first time. Show your work and describe your problem- solving process. Onew = 1

Answer 1

The one oscillation of first pendulum is equal to the two oscillation of second pendulum. Hence when first pendulum at the initial position the second pendulum also at the same position after two oscillations.

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