How to Calculate the Required Force to Move a Block Up an Incline

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SUMMARY

The discussion focuses on calculating the horizontal force required to move a 4.00-kg block up a 30.0° incline with a coefficient of static friction of 0.700. The relevant equations include F=ma and Ffriction=μsFnormal. To initiate movement, the applied force must exceed the combined forces of gravity and static friction acting on the block. Participants emphasize the need for a clear understanding of normal force calculations to determine the minimum force required.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of static friction and its coefficient
  • Ability to calculate normal force on an incline
  • Familiarity with basic trigonometry related to angles
NEXT STEPS
  • Learn how to calculate normal force on an incline
  • Study the concept of static friction and its implications in motion
  • Explore vector decomposition of forces on inclined planes
  • Practice solving problems involving forces on inclined surfaces
USEFUL FOR

Students in physics courses, educators teaching mechanics, and anyone interested in understanding forces on inclined planes.

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Homework Statement


4.00-kg block rests on a 30.0° incline as shown in the figure. If the coefficient of static friction between the block and the incline is 0.700, what magnitude horizontal force F must act on the block to start it moving up the incline?

Homework Equations


F=ma FfrictionsFnormal

The Attempt at a Solution


Numerous attempts to long to type out.
 
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The forces acting on it are its weight and the friction force. A body will not move until the maximum static force is applied on it. Now think what should be the ''minimum'' F to move up the incline so that it overcomes the weight and static friction.
 
Need more relevant equations (Fn ?)
And at least one attempt. Take what you think is the best and show where it gets stuck.
 

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