Calculating Ramp Angle for Box Sliding - Force & Motion

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To calculate the ramp angle at which a box begins to slide, the coefficient of static friction is given as 0.30. The static friction force can be expressed using the formula Fs = Us * Fn, where Us is the coefficient of static friction and Fn is the normal force. The mass of the box is not necessary for the calculation, as it cancels out in the equations. The key is to apply the principles of force and motion to determine the angle when the box starts to slide. This approach allows for a solution without needing a specific mass value.
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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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