4equilibrium_FA10

4equilibrium_FA10 - Static Equilibrium • • Static...

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1 Static Equilibrium Many applications – supports – bridges – cable systems – furniture – hoists Anything that you don’t want to accelerate or roll 1 Static Equilibrium 2 3 Stable equilibrium The condition of a structure in equilibrium; when a slight disturbance is applied to the structure and then removed, the structure returns to its equilibrium position. 4

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2 Unstable equilibrium The state of a body that, when slightly displaced, tends to be displaced further 5 Neutral Equilibrium A body is in neutral equilibrium if it stays in the displaced position after if has been displaced slightly. 6 The Leaning Tower of Pisa is 55 m tall and about 7.0 m in diameter. The top is 4.5 m off center. How much farther can it lean before it becomes unstable? (a) 1 0 m (b) 2 5 m 7 (a) 1.0 m (b) 2.5 m (c) 3.5 m (d) 4.5 m A box, with its center of mass off-center as indicated by the dot, is placed on an inclined plane. In which of the four orientations shown, if any, does the box tip over? 8
3 Static Equilibrium Static: not moving – no linear acceleration: – no angular acceleration: No new equations, just a special case of two old equations: = = 0 a

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This note was uploaded on 11/22/2010 for the course PHYS 1146 taught by Professor Balasubramamaheswaran during the Spring '10 term at Northeastern.

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4equilibrium_FA10 - Static Equilibrium • • Static...

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