Finding accelration with forces?

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SUMMARY

The discussion focuses on calculating the acceleration required for a cereal box to remain stationary on a cart, given a coefficient of static friction of 0.40. To prevent the box from falling, the frictional force must equal the gravitational force acting on the box. Participants emphasize the importance of drawing a force diagram to visualize the forces at play, including the gravitational force (mg) and the normal force (N) acting on the box.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Familiarity with static friction concepts
  • Ability to draw and interpret force diagrams
  • Knowledge of basic algebra for solving equations
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  • Learn how to calculate normal force (N) in various scenarios
  • Study the relationship between frictional force and acceleration
  • Explore advanced topics in dynamics, such as inclined planes
  • Practice problems involving static friction and acceleration
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Students studying physics, educators teaching mechanics, and anyone interested in understanding the principles of static friction and motion dynamics.

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Homework Statement


Find the acceleration that the cart in Figure 6-38 must have in order for the cereal box not to fall. Assume that the coefficient of static friction between the cart and the box is 0.40.

** the cereal box is at the front of the wagon (outside the wagon)

Homework Equations



I know fs/N= coeffiecnt or .4 but i am unaware of how you find N or fs, please explain
 
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papi said:

Homework Statement


Find the acceleration that the cart in Figure 6-38 must have in order for the cereal box not to fall. Assume that the coefficient of static friction between the cart and the box is 0.40.

** the cereal box is at the front of the wagon (outside the wagon)

Homework Equations



I know fs/N= coeffiecnt or .4 but i am unaware of how you find N or fs, please explain

If I understand your picture that I can't see, draw a force diagram. You have the m*g down and you have the force from acceleration normal to the side and that force times the u of friction must balance the downward force of gravity.
 

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