Calculating Force: Solving a 10 kg Book and Wall Problem at a 30° Angle

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SUMMARY

The discussion centers on calculating the force exerted when holding a 10 kg book against a wall at a 30° angle. The participant seeks to determine the force in Newtons required to maintain this position, questioning whether the wall is frictionless. It is established that friction is necessary to hold the book in place, as without it, the book would slide down. The analysis involves understanding the components of the applied force and the role of friction in this scenario.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Basic knowledge of trigonometry
  • Friction concepts in physics
  • Force decomposition techniques
NEXT STEPS
  • Calculate the normal force acting on the book using the formula for force decomposition.
  • Explore the role of static friction in preventing the book from sliding down the wall.
  • Study the effects of varying angles on the force required to hold the book.
  • Investigate real-world applications of force calculations in physics problems.
USEFUL FOR

Students studying physics, educators teaching mechanics, and anyone interested in understanding force calculations in practical scenarios.

TheShapeOfTime
If I am holding a 10.0 kg book against the wall with a 30 degree angle between the book and my arm (angle measured closest to my hand out), how can I find the force (in Newtons) that I'm pushing with?
 
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Is the wall frictionless??
 
Just to make sure we understand each other: I'm holding the book against the wall by leaning on it with my hand, applying a force at a 30 degree (measured as stated in my OP).

My understanding is that there has to be some friction against the wall otherwise I wouldn't be able to hold it there?
 

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