Finding Force Given Angle: A Last-Minute Attempt

In summary, the equation for force as a function of θ is F(θ) = (μmg)/(cos(θ) + μsin(θ)). The student attempted to find extrema using the given numbers, but was unable to find the correct angle. The homework problem does not ask for an angle and the student is advised not to use any formula with an angle. Instead, they are instructed to set the magnetic force equal to the friction force and solve for the magnitude. For the direction, the student is advised to use the hand rule on the lower diagram and translate the answer into y or -y as it must be perpendicular to both the current and the slide.
  • #1
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Homework Statement



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Homework Equations



this is what i think i figured out to be the equation for force as a function of θ:

F(θ) = (μmg)/(cos(θ) + μsin(θ))

The Attempt at a Solution



I tried to find extrema using the numbers given to figure out the angle, but the number i am getting is not right. This is kind of a last ditch effort as I need to finish this within a half hour
 
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  • #2
You aren't asked to find an angle. Don't use any formula with an angle in it! For the magnitude, start out with "magnetic force = friction force" and fill in details until you can solve it for B.
For the direction, apply your hand rule to the lower diagram. The answer will be up or down (which you must translate into y or -y) because it must be perpendicular to both the current and the slide.
 

1. What is the formula for finding force given angle?

The formula for finding force given angle is F = m * g * sin(θ), where F is the force, m is the mass, g is the acceleration due to gravity, and θ is the angle.

2. How do I determine the angle for finding force?

The angle can be determined using a protractor or by using trigonometric functions such as sine, cosine, or tangent.

3. What unit is force measured in?

Force is commonly measured in Newtons (N) or pounds (lbs).

4. Can force be negative when finding force given angle?

Yes, force can be negative when finding force given angle. A negative force indicates that the force is acting in the opposite direction of the angle.

5. What other factors should be considered when finding force given angle?

In addition to the angle and mass, other factors that should be considered include air resistance, friction, and any other external forces that may be acting on the object.

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