lecture10

lecture10 - Mass on the table FN1 fs T F y = FN 1 - W1 = 0...

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Mass on the table F N1 = = = 1 1 1 1 0 W F W F F N N y The sum of the forces in the y-direction for mass 1 W 1 T f s is zero, since the mass does not accelerate in that direction = = = f T f T F 0 W F T μ = = s s x The sum of the forces in the x-direction for mass 1 is also zero, since we don’t want the mass to move, o =f ets that condition 1 1 s N s y Hanging mass so T = f s sets that condition. = = = 2 2 0 W T W T F y g M T 2 = x T The sum of the forces in the y-direction for mass 2 is zero, since the mass does not accelerate in that direction. W 2 From the two boxed equations on the right: they both equal the tension, so I can set them equal to each other: 22 5 g M W s 2 1 = g W M s 1 2 = kg 3 . 32 8 . 9 ) 422 )( 75 . 0 ( = =
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4.11 Equilibrium Conditions An object is in equilibrium when its acceleration is zero. v v v This means that: = = 0 a m F = 0 F In 2 dimensions then: = 0 x F = 0 y F The forces acting on an object must balance in each direction! Remember, zero acceleration does not necessarily mean no motion. As long s the velocity does not change in time which means that a system moving at as the velocity does not change in time, which means that a system moving at constant speed could be in equilibrium.
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4.12 Non-equilibrium Conditions
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lecture10 - Mass on the table FN1 fs T F y = FN 1 - W1 = 0...

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