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Chapter11

# Chapter11 - m located equal distances from the center of...

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Chapter 11: Equilibrium

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1. Condition for Equilibrium Requirement of Equilibrium Balance of Force (Translational) Balance of Torque (Rolling) 0 F = r 0 τ = r
The sum of all forces present in the x , y , and z directions are each distinctly equal to zero. The sum of all torques for any given point are equal to zero.

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2. Center of Gravity The force of gravity effectively acts at a single point of an object called the center of gravity . A body’s center of gravity is identical to the center of mass if the gravity has the same value at all points on a body. From Chapter 8-5, the center of mass is 1 1 2 2 1 2 i i i i n n i i cm n i i m r m r m r m r m r r m m m m M + + + = = = + + + r r r r r L r L cm rdm rdm r M dm = = r r r For continuous mass
3. Examples A uniform beam of length L and mass m=1.8 kg is at rest on two scales. A block with mass M=2.7 kg is on the beam with its center a distance L/4. What do the scales read?

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Example 11.1) A uniform wooden plank of length L=6.0 m and mass M=90 kg rests on top of two sawhorses separated by D=1.5

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Unformatted text preview: m, located equal distances from the center of the plank. If this person tries to stand on the one end of the plank. If the plank is to remain at rest, how massive can he be? Example 11.3) A person with weight 800N climbs a ladder that is 5.0 m long and weighs 180 N. He stops a third way from the bottom of the ladder. a) Find the normal and friction forces on the ladder at its base b) Find the minimum coefficient of static friction needed to prevent slipping at the base c) Find the magnitude and the direction of the contact force on ladder at the base. Problem 11.14) The horizontal beam weighs 150 N. Find a) the tension in the cable b) the horizontal and vertical component of the force exerted on the beam at the wall. Problem 11.13) Find the tension T and the magnitude and direction of the force exerted on the strut by the pivot. Let w be the weight of the grate and that of the strut...
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