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A.3.3 Given the function governing the motion of a simple pendulum with mass 0.5 kg is 0 = 0.5 cos(0.5t+T/2) (in rad), determine: a. the period of oscillation; d. the position and linear velocity of the bob at t = 0; Answer: 4s. Answer: Oi rad and -3.12 m/s. b. the length of the pendulum; e. the kinetic energy when the angle is 0 = 0.2 rad Answer: 3.98 m. Answer: 2.045 J. c. the maximum angle reached; f. the total mechanical energy of the pendulum. Answer: 0.5 rad or 28.66°. Answer: 2.4 J.

A.3.3 Given the function governing the motion of a simple pendulum with mass 0.5 kg is 0 = 0.5 cos(0.5t+T/2) (in rad), determine: a. the period of oscillation; d. the position and linear velocity of the bob at t = 0; Answer: 4s. Answer: Oi rad and -3.12 m/s. b. the length of the pendulum; e. the kinetic energy when the angle is 0 = 0.2 rad Answer: 3.98 m. Answer: 2.045 J. c. the maximum angle reached; f. the total mechanical energy of the pendulum. Answer: 0.5 rad or 28.66°. Answer: 2.4 J.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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А.3.3 Given the function governing the motion of a simple pendulum with mass 0.5 kg is 0 = 0.5 cos(0.5Tt+T /2) (in rad), determine: a. the period of oscillation; d. the position and linear velocity of the bob at t = 0; Answer: 4 s. Answer: Oi rad and -3.12 m/s. b. the length of the pendulum; e. the kinetic energy when the angle is 0 = 0.2 rad Answer: 3.98 m. Answer: 2.045 J. c. the maximum angle reached; f. the total mechanical energy of the pendulum. Answer: 0.5 rad or 28.66°. Answer: 2.4 J.
Transcribed Image Text:А.3.3 Given the function governing the motion of a simple pendulum with mass 0.5 kg is 0 = 0.5 cos(0.5Tt+T /2) (in rad), determine: a. the period of oscillation; d. the position and linear velocity of the bob at t = 0; Answer: 4 s. Answer: Oi rad and -3.12 m/s. b. the length of the pendulum; e. the kinetic energy when the angle is 0 = 0.2 rad Answer: 3.98 m. Answer: 2.045 J. c. the maximum angle reached; f. the total mechanical energy of the pendulum. Answer: 0.5 rad or 28.66°. Answer: 2.4 J.
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