Two little questions about friction

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SUMMARY

The discussion focuses on determining the coefficient of static friction required to prevent slippage between a book and a box accelerating at 3.5 m/s². The smallest coefficient of static friction can be calculated using Newton's second law, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. Additionally, the conversation addresses whether a perpendicular force applied to a box on an inclined ramp will cause it to move, emphasizing the importance of understanding the direction and magnitude of forces involved.

PREREQUISITES
  • Newton's Second Law of Motion
  • Static Friction Coefficient Calculation
  • Basic Concepts of Force and Acceleration
  • Inclined Plane Dynamics
NEXT STEPS
  • Study the calculation of the coefficient of static friction using acceleration data.
  • Explore the effects of forces on objects on inclined planes.
  • Learn about the relationship between mass, force, and acceleration in physics.
  • Investigate real-world applications of friction in mechanical systems.
USEFUL FOR

Students of physics, educators teaching mechanics, and engineers involved in designing systems with frictional components will benefit from this discussion.

Mr.Barker
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1. How can you determine a coefficient of friction with only acceleration as a given variable ?
I have a problem with a book resting on a box. Both are moving at an acceleration of 3.5 m/s^2 and I need to find the smallest coefficient of static friction that will prevent slippage.

2. Will a force applied on top of a box sitting on an inclined ramp make it move? (the force is perpendicular to the ramp)

Thanks.
 
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Mr.Barker said:
1. How can you determine a coefficient of friction with only acceleration as a given variable ?
I have a problem with a book resting on a box. Both are moving at an acceleration of 3.5 m/s^2 and I need to find the smallest coefficient of static friction that will prevent slippage.

2. Will a force applied on top of a box sitting on an inclined ramp make it move? (the force is perpendicular to the ramp)

Thanks.
Benjamin, welcome to PF!
If the book is accelerating, there must be a force acting on it in the direction of the acceleration, per Newton 2.. please show some attempt at a solution for both parts.
 

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