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P2-1 ( The equation of motion for a pendulum whose base is accelerating horizontally with an acceleration a(t) is LÖ + g sin 0 = a(t) cos 0 Suppose that g = 9.81 m/s², L = 1 m, and (0) = 0. Plot 0(t) for 0 ≤ t ≤ 10s for the following three cases: a) The acceleration is constant: a = 5 m/s², and 0(0) = 0.5 rad. b) The acceleration is constant: a = 5 m/s², and 0(0) = 3 rad. c) The acceleration is linear with time: a = 0.5t m/s², and 0(0) = 3 rad. P2-2 The following equation describes the motion of a certain mass connected to a spring, with no friction 3ÿ + 75y = f(t) where f(t) is an applied force. Suppose the applied force is sinusoidal with a frequency of w rad/s and an amplitude of 10 N: f(t) = 10 sin(wt). Suppose that the initial conditions are y(0) = y(0) = 0. Plot y(t) for 0 ≤ t ≤ 20 s. Do this for the following three cases. Compare the results of each case: a) w = 1 rad/s b) w = 5 rad/s c) w = 10 rad/s

P2-1 ( The equation of motion for a pendulum whose base is accelerating horizontally with an acceleration a(t) is LÖ + g sin 0 = a(t) cos 0 Suppose that g = 9.81 m/s², L = 1 m, and (0) = 0. Plot 0(t) for 0 ≤ t ≤ 10s for the following three cases: a) The acceleration is constant: a = 5 m/s², and 0(0) = 0.5 rad. b) The acceleration is constant: a = 5 m/s², and 0(0) = 3 rad. c) The acceleration is linear with time: a = 0.5t m/s², and 0(0) = 3 rad. P2-2 The following equation describes the motion of a certain mass connected to a spring, with no friction 3ÿ + 75y = f(t) where f(t) is an applied force. Suppose the applied force is sinusoidal with a frequency of w rad/s and an amplitude of 10 N: f(t) = 10 sin(wt). Suppose that the initial conditions are y(0) = y(0) = 0. Plot y(t) for 0 ≤ t ≤ 20 s. Do this for the following three cases. Compare the results of each case: a) w = 1 rad/s b) w = 5 rad/s c) w = 10 rad/s

Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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P2-1 ( The equation of motion for a pendulum whose base is accelerating horizontally with an acceleration a(t) is LÖ + g sin0 = a(t) cos 0 Suppose that g = 9.81 m/s², L = 1 m, and ġ(0) = 0. Plot 0(t) for 0 ≤ t ≤ 10 s for the following three cases: a) The acceleration is constant: a = = 5 m/s², and 0(0) = 0.5 rad. b) The acceleration is constant: a = 5 m/s², and 0(0) = 3 rad. c) The acceleration is linear with time: a = 0.5t m/s², and 0(0) = 3 rad. P2-2 The following equation describes the motion of a certain mass connected to a spring, with no friction 3ÿ + 75y = f(t) where f(t) is an applied force. Suppose the applied force is sinusoidal with a frequency of w rad/s and an amplitude of 10 N: f(t) = 10 sin(wt). Suppose that the initial conditions are y(0) = y(0) = 0. Plot y(t) for 0 ≤ t ≤ 20 s. Do this for the following three cases. Compare the results of each case: a) w = 1 rad/s b) w = 5 rad/s c) w = 10 rad/s
Transcribed Image Text:P2-1 ( The equation of motion for a pendulum whose base is accelerating horizontally with an acceleration a(t) is LÖ + g sin0 = a(t) cos 0 Suppose that g = 9.81 m/s², L = 1 m, and ġ(0) = 0. Plot 0(t) for 0 ≤ t ≤ 10 s for the following three cases: a) The acceleration is constant: a = = 5 m/s², and 0(0) = 0.5 rad. b) The acceleration is constant: a = 5 m/s², and 0(0) = 3 rad. c) The acceleration is linear with time: a = 0.5t m/s², and 0(0) = 3 rad. P2-2 The following equation describes the motion of a certain mass connected to a spring, with no friction 3ÿ + 75y = f(t) where f(t) is an applied force. Suppose the applied force is sinusoidal with a frequency of w rad/s and an amplitude of 10 N: f(t) = 10 sin(wt). Suppose that the initial conditions are y(0) = y(0) = 0. Plot y(t) for 0 ≤ t ≤ 20 s. Do this for the following three cases. Compare the results of each case: a) w = 1 rad/s b) w = 5 rad/s c) w = 10 rad/s
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