Calculating Ramp Angle for Box Sliding - Force & Motion

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SUMMARY

The discussion focuses on calculating the ramp angle at which a box begins to slide down a wooden ramp with a coefficient of static friction of 0.30. The key equation used is Fs = Us * Fn, where Fs represents static friction, Us is the coefficient of static friction, and Fn is the normal force. Participants emphasize that the mass of the box is irrelevant for determining the angle, as it cancels out in the calculations. The solution involves applying basic physics principles related to forces and motion.

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  • Understanding of static friction and its coefficient
  • Familiarity with Newton's laws of motion
  • Knowledge of basic trigonometry for angle calculations
  • Ability to manipulate algebraic equations
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  • Learn about the relationship between normal force and angle of inclination
  • Explore examples of static friction problems in physics
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1. A box sits on a horizontal wooden ramp. The coefficient of static friction between the box and the ramp is 0.30. You grab one end of the ramp and lift it up, keeping the other end of the ramp on the ground. What is the angle between the ramp and the horizontal direction when the box begins to slide?



2. Fs=Us*Fn



3. I really don't know where to begin on this problem. I'm lost without a given mass of the box.
 
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dubversion11 said:
A box sits on a horizontal wooden ramp. The coefficient of static friction between the box and the ramp is 0.30. You grab one end of the ramp and lift it up, keeping the other end of the ramp on the ground. What is the angle between the ramp and the horizontal direction when the box begins to slide?
…
I really don't know where to begin on this problem. I'm lost without a given mass of the box.[/b]

Hi dubversion11! Welcome to PF! :smile:

Just call the mass "m", and do all the usual equations …

you'll find you can cancel the m's at the end! :wink:
 

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