This table shows experiments done by five scientists. Scientist Experiment Kyle cut a bar of gold in half Katie burned paper int
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Hi there!
For an object on an incline with friction being pulled, the following forces are present.
- Force due to Gravity
- Force due to Friction
- Force due to tension
The force due to friction opposes the force due to gravity which would cause the object to slide down. (The force due to friction acts up the incline). Additionally, the force due to the rope is also upward.
Let up the incline be positive, and down the incline be negative.
Doing a summation of forces:
For the crate to be moving at a constant velocity, there is NO net force acting on the crate, so:
Now, we can express each force as an equation.
Force due to tension:
- Must be solved for.
Force due to gravity:
- On an incline, this is equivalent to the SINE component of its weight. (Force of gravity is STILL THE WEIGHT, but on an incline, it contains a horizontal component that contributes to the net force)
This is expressed as:
Force due to friction:
- Equivalent to the normal force and coefficient of friction. The normal force is the VERTICAL component of the object's weight, so:
Now, plug these expressions into the above equation.
Mg = 245 N (weight). Plug in all values:
The normal force is equivalent to the vertical component (PERPENDICULAR TO THE INCLINE) of the weight (cosine), so: