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Repeat Exercise 9.24 for the pulley shown in Figure 9.27(c), assuming you pull straight

College Physics for AP® Courses | 1st Edition | ISBN: 9781938168932 | Authors: Gregg Wolfe, Irina Lyublinskaya, Douglas Ingram ISBN: 9781938168932 372

Solution for problem 25 Chapter 9

College Physics for AP® Courses | 1st Edition

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College Physics for AP® Courses | 1st Edition | ISBN: 9781938168932 | Authors: Gregg Wolfe, Irina Lyublinskaya, Douglas Ingram

College Physics for AP® Courses | 1st Edition

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Problem 25

Repeat Exercise 9.24 for the pulley shown in Figure 9.27(c), assuming you pull straight up on the rope. The pulley system's mass is 7.00 kg .

Step-by-Step Solution:
Step 1 of 3

Harmonic Motion (14.1 - 14.6) Oscillating with sinusoidal motion (a sin or cos pattern) = simple harmonic motion → Periodic : Starts at one point and comes back to it Harmonic Oscillators : ● Mass on spring ● Pendulum ● Electrical Circuits ● Vibration in Solid Molecules → Amplitude (A) : Maximum displacement………………. SI Unit is m → Period (T) : time for one full cycle……………………...SI Unit is s → Frequency (f) : Inverse of T (1/T).................................SI Unit is Hz or Hertz Period is INDEPENDENT of Amplitude (for a given oscillator) 2π Sinusoidal Function : x(t) = Acos(Tt) = Acos((2πf · t) + ϕ) 2π = Acos(ωt + ϕ) → ω is angular velocity and = 2πf = T and in rad/s → ϕ is a phase constant, for when a pattern begins somewhere other than standard 0 v(t) = dx= − Aωsin(ωt) dt v = Aωv = −Aω = A 2π= A(2π) · f max min T → A mass in circular motion will maintain the same height as a mass oscillating on a spring (in harmonic motion) with the same radius

Step 2 of 3

Chapter 9, Problem 25 is Solved
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Textbook: College Physics for AP® Courses
Edition: 1
Author: Gregg Wolfe, Irina Lyublinskaya, Douglas Ingram
ISBN: 9781938168932

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Repeat Exercise 9.24 for the pulley shown in Figure 9.27(c), assuming you pull straight