p111_lecture9

p111_lecture9 - Chapter 4 Forces and Newtons Laws of Motion...

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Chapter 4 Forces and Newton’s Laws of Motion
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4.11 Equilibrium Application of Newton’s Laws of Motion Definition of Equilibrium An object is in equilibrium when it has zero acceleration. ! = 0 x F ! = 0 y F e.g. brick at rest on a table
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4.11 Equilibrium Application of Newton’s Laws of Motion Reasoning Strategy to solve equilibrium problems • Select an object(s) to which the equations of equilibrium are to be applied. • Draw a free-body diagram for each object chosen above. Include only forces acting on the object, not forces the object exerts on its environment. • Choose a set of x , y axes for each object and resolve all forces in the free-body diagram into components that point along these axes. • Apply the equations and solve for the unknown quantities.
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4.11 Equilibrium Application of Newton’s Laws of Motion 0 35 sin 35 sin 2 1 = ! + o o T T 0 35 cos 35 cos 2 1 = ! + + F T T o o Example. Find the magnitude of F if the system is in equilibrium. ! = 0 x F ! = 0 y F
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4.11 Equilibrium Application of Newton’s Laws of Motion The y-equation tells us that T 1 = T 2 = T Using this in the x-equation and solving for F , F = 2T cos 35 o But what is T ?
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T mg T T !
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p111_lecture9 - Chapter 4 Forces and Newtons Laws of Motion...

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