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

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.24P: A uniform plank is supported by a fixed support at A and a drum at B that rotates clockwise. The...

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