Finding accelration with forces?

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To determine the acceleration required for the cereal box not to fall from the cart, the coefficient of static friction is given as 0.40. The force of static friction (fs) must balance the gravitational force acting on the box (mg), where N represents the normal force. A force diagram is essential for visualizing the forces at play, including gravitational force and the force due to acceleration. By equating the static friction force to the gravitational force, the necessary acceleration can be calculated. Understanding these relationships is crucial for solving the problem effectively.
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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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