1.32. An inverted pendulum is supported by a linear spring, as shown in Fig. 1.76. It is required to: (a) Derive the equation for the angular motion 0(t) about 0. (b) Determine the equilibrium positions. (c) Derive the differential equation for small angular motions 01 (t) about 8e for each equi- librium position. (d) Determine the stability nature of each equilibrium position. CARBONAMES k www m L FIGURE 1.76 Inverted pendulum supported by a

1.32. An inverted pendulum is supported by a linear spring, as shown in Fig. 1.76. It is required to: (a) Derive the equation for the angular motion 0(t) about 0. (b) Determine the equilibrium positions. (c) Derive the differential equation for small angular motions 01 (t) about 8e for each equi- librium position. (d) Determine the stability nature of each equilibrium position. CARBONAMES k www m L FIGURE 1.76 Inverted pendulum supported by a

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

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter10: Virtual Work And Potential Energy

Section: Chapter Questions

Problem 10.62P: The bar ABC is supported by three identical, ideal springs. Note that the springs are always...

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