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  1. The normal force is always perpendicular to the surface, and since there is no motion perpendicular to the surface, the normal force should equal the component of the skier’s weight perpendicular to the slope.

  2. Force and Motion on an Incline. An inclined plane is basically a ramp. It is a flat surface that is sloped rather than horizontal. When solving problems about objects on an incline, it is convenient to choose a coordinate system with axes parallel and perpendicular to the surface as shown in Fig. 1. +y.

  3. A crate of mass 100 kg is being pushed across a horizontal surface. The coefficient of friction between the crate and the surface is μ = 0.2. The force is being applied downward on the crate at a 30o angle with respect to the vertical axis.

  4. Incline Planes. Learn the forces involved in incline planes with and without friction. See how to solve for acceleration of an object created by the net force.

  5. A sled of mass mis placed on a frictionless hill (inclined plane) which is at an angle with the horizontal. Find the acceleration of the mass down the hill. The forces acting on the block are: 1) The downward weight force W = mg exerted by gravity. 2) The normal force N exerted by the inclined plane, and perpendicular (\nor-mal") to its surface.

  6. When objects rest on a non-accelerating horizontal surface, the magnitude of the normal force is equal to the weight of the object: \[ N = mg \] When objects rest on an inclined plane that makes an angle \(\theta \) with the horizontal surface, the weight of the object can be resolved into components that act perpendicular \((w_{\perp})\) and ...

  7. How an object moves along an inclined plane depends upon the relative magnitude and direction of the forces that act upon it. Here's some forces to expect: • Gravity (Fgrav); always present; always downward. • Normal (Fnorm); always present; always ⊥ to plane.

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