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Questions and Answers
How is the friction force determined for the 100-lb block when force P increases from 0 to 30 lb?
How is the friction force determined for the 100-lb block when force P increases from 0 to 30 lb?
The friction force is calculated using the static friction equation, which depends on the normal force and the coefficient of static friction.
What are the implications of having a coefficient of static friction of 0.5 for the bars in static equilibrium?
What are the implications of having a coefficient of static friction of 0.5 for the bars in static equilibrium?
The coefficient determines the maximum friction force, affecting the smallest and largest values of force P to maintain equilibrium.
When does the uniform 100-lb plank start to slide as the 200-lb man walks from A to B?
When does the uniform 100-lb plank start to slide as the 200-lb man walks from A to B?
The plank starts to slide when the force exerted by the man's weight surpasses the maximum static friction at the contact points.
What factors influence the static equilibrium of the system with the bars AB and BC?
What factors influence the static equilibrium of the system with the bars AB and BC?
How can the distance x be calculated for when the plank starts to slide?
How can the distance x be calculated for when the plank starts to slide?
Flashcards
Friction force calculation (block)
Friction force calculation (block)
Finding the friction force acting on a block on a horizontal plane when an external force (P) is gradually increased from zero until the block starts moving.
Equilibrium force range (bars)
Equilibrium force range (bars)
Determining the maximum and minimum values of force P needed to maintain static equilibrium of two identical connected bars resting on a horizontal surface with friction.
Plank sliding distance calculation
Plank sliding distance calculation
Determining the distance a man can walk on a plank (resting on friction surfaces A and B) before it starts sliding due to the man's weight.
Static equilibrium (systems)
Static equilibrium (systems)
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Coefficient of static friction
Coefficient of static friction
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Study Notes
Problem 1: 100-lb Block on Horizontal Plane
- A 100-lb block rests on a horizontal plane.
- The force P on the block is gradually increased.
- Determine the friction force between the block and the plane.
Problem 2: System in Static Equilibrium
- Figure shows three homogeneous bars (AB, BC, and vertical bar).
- Each bar has a mass of 100 kg.
- The coefficient of static friction between the bar at C and the horizontal plane is 0.5.
- Determine the largest and smallest values of force P for static equilibrium.
Problem 3: Uniform Plank on Friction Surfaces
- A uniform 100-lb plank rests on friction surfaces at points A and B.
- Coefficients of static friction are given: μA = 0.2 and μB = 0.5.
- A 200-lb man walks from A toward B.
- Determine the distance x from A when the plank starts to slide.
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