Static Friction and Equilibrium Problems
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Questions and Answers

What is the friction force acting on the 100-lb block when the applied force P increases to 30 lb?

The friction force is equal to 30 lb.

What is the smallest value of the force P required for the system in Figure 2 to maintain static equilibrium?

The smallest value of P is 0 lb.

What is the largest value of force P that maintains static equilibrium for the system in Figure 2?

The largest value of P can be determined using the static friction coefficient and weight of the bars.

If a 200-lb man walks from A toward B on the plank, what distance x will cause the plank to begin sliding?

<p>The distance x can be calculated based on the ratio of weight distribution and coefficients of friction.</p> Signup and view all the answers

What is the maximum static friction between the bar at C and the horizontal plane if the coefficient is 0.5?

<p>The maximum static friction is 50 kg (approx. 110 lb).</p> Signup and view all the answers

Study Notes

Problem 1: 100-lb Block on Horizontal Plane

  • A 100-lb block rests on a horizontal plane.
  • A force P gradually increases from 0 to 30 lb.
  • Determine the friction force between the block and the surface.

Problem 2: Equilibrium of Homogeneous Bars

  • Two identical homogeneous bars (AB and BC), each with a mass of 100 kg, are connected at B.
  • The bars are supported by a force P.
  • The coefficient of static friction at C is 0.5.
  • Determine the largest and smallest values of P for static equilibrium.

Problem 3: Uniform Plank on Friction Surfaces

  • A uniform 100-lb plank rests on friction surfaces A and B.
  • Coefficients of static friction are given (μA = 0.2, μB = 0.5).
  • A 200-lb man starts walking from A toward B.
  • Determine the distance x when the plank will start to slide.

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Description

This quiz covers static friction and equilibrium problems involving forces and mass. It includes scenarios with blocks, homogeneous bars, and planks, requiring you to determine friction forces and conditions for static equilibrium. Test your understanding of physics concepts related to static friction and mechanics.

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