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A 125-lb pendulum is connected to a 50-lb frame by a smooth pin at A. Point G2 represents the center of mass of the pendulum and G₁ represents the center of mass of the frame. The frame is supported by one leg on either side as shown. The coefficients of static and kinetic friction between each frame leg and the ground are μs = 0.6 and μk = 0.4, respectively. A horizontal force P is applied to the frame causing the frame to accelerate. As the frame accelerates horizontally, the pendulum will eventually reach a steady-state position as shown (pendulum no longer rotates about pin A). If the steady-state angle is observed to be 0 = 30°, determine the applied force P, the horizontal acceleration of the frame, and the support reactions at pin A. [Ans: 171 lb, 18.59 ft/s², Ax = 72.17 lb, Ay = 125 lb] 1.5 ft 2 ft 2 ft G₁ P 2 ft 2.5 ft 5 ft

A 125-lb pendulum is connected to a 50-lb frame by a smooth pin at A. Point G2 represents the center of mass of the pendulum and G₁ represents the center of mass of the frame. The frame is supported by one leg on either side as shown. The coefficients of static and kinetic friction between each frame leg and the ground are μs = 0.6 and μk = 0.4, respectively. A horizontal force P is applied to the frame causing the frame to accelerate. As the frame accelerates horizontally, the pendulum will eventually reach a steady-state position as shown (pendulum no longer rotates about pin A). If the steady-state angle is observed to be 0 = 30°, determine the applied force P, the horizontal acceleration of the frame, and the support reactions at pin A. [Ans: 171 lb, 18.59 ft/s², Ax = 72.17 lb, Ay = 125 lb] 1.5 ft 2 ft 2 ft G₁ P 2 ft 2.5 ft 5 ft

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Answers should be 171lb, 18.59ft/s^2, Ax=72.17lb, Ay=125lb

A 125-lb pendulum is connected to a 50-lb frame by a smooth pin at A. Point G2 represents the center of mass of the pendulum and G₁ represents the center of mass of the frame. The frame is supported by one leg on either side as shown. The coefficients of static and kinetic friction between each frame leg and the ground are μs = 0.6 and μk = 0.4, respectively. A horizontal force P is applied to the frame causing the frame to accelerate. As the frame accelerates horizontally, the pendulum will eventually reach a steady-state position as shown (pendulum no longer rotates about pin A). If the steady-state angle is observed to be 0 = 30°, determine the applied force P, the horizontal acceleration of the frame, and the support reactions at pin A. [Ans: 171 lb, 18.59 ft/s², Ax = 72.17 lb, Ay = 125 lb] 1.5 ft 2 ft 2 ft G₁ P 2 ft 2.5 ft 5 ft
Transcribed Image Text:A 125-lb pendulum is connected to a 50-lb frame by a smooth pin at A. Point G2 represents the center of mass of the pendulum and G₁ represents the center of mass of the frame. The frame is supported by one leg on either side as shown. The coefficients of static and kinetic friction between each frame leg and the ground are μs = 0.6 and μk = 0.4, respectively. A horizontal force P is applied to the frame causing the frame to accelerate. As the frame accelerates horizontally, the pendulum will eventually reach a steady-state position as shown (pendulum no longer rotates about pin A). If the steady-state angle is observed to be 0 = 30°, determine the applied force P, the horizontal acceleration of the frame, and the support reactions at pin A. [Ans: 171 lb, 18.59 ft/s², Ax = 72.17 lb, Ay = 125 lb] 1.5 ft 2 ft 2 ft G₁ P 2 ft 2.5 ft 5 ft
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