A garage door of height h and mass m is made of two identical sections ABC and CDE that are connected by a hinge at C. Rollers are mounted at A, B and D. B and D are the midpoints of ABC and CDE respectively. The roller at A moves horizontally, and the rollers at B and D move vertically. The door is operated by a spring of spring constant k attached at A (in reality there are two springs attached to the left and right sides of the door, but to solve this problem we can replace the two springs by just one spring as shown in the picture below). When the door is in the open position (0 = 0°), the spring is stretched by an amount 8o = 0.20 m. Take h = 10 m, m = 400 kg (so each section has a mass = 200 kg), k = 4800 N/m The door is released from rest at 0 = 20°. Find the angular acceleration of each section just after the door is being released. Fully open -Horizontal guide k B urseSmart – Vertical guide h D E -Fully closed Floor

A garage door of height h and mass m is made of two identical sections ABC and CDE that are connected by a hinge at C. Rollers are mounted at A, B and D. B and D are the midpoints of ABC and CDE respectively. The roller at A moves horizontally, and the rollers at B and D move vertically. The door is operated by a spring of spring constant k attached at A (in reality there are two springs attached to the left and right sides of the door, but to solve this problem we can replace the two springs by just one spring as shown in the picture below). When the door is in the open position (0 = 0°), the spring is stretched by an amount 8o = 0.20 m. Take h = 10 m, m = 400 kg (so each section has a mass = 200 kg), k = 4800 N/m The door is released from rest at 0 = 20°. Find the angular acceleration of each section just after the door is being released. Fully open -Horizontal guide k B urseSmart – Vertical guide h D E -Fully closed Floor

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

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter5: Three-dimensional Equilibrium

Section: Chapter Questions

Problem 5.12P: The homogeneous 240-lb bar is supported by a rough horizontal surface at A, a smooth vertical...

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