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Free Body Diagram
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Force Vectors Force is a vector. A block sliding on an inclined plane has forces acting on it. We know there is a force of gravity and normal force. m
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Force Diagram Draw the forces acting on the block. The force of gravity points down with magnitude F g = mg. The normal force points away from the surface of the inclined plane. m
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Force Diagram Draw components of the forces so the vectors can be added. The coordinates should point along the surface. The normal force is unknown The motion will be along the surface The components of F g are compared to the surface. m
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Net Force The block stays along the plane. No motion or acceleration away from the surface No force in that component Solve for the normal force: Net force: m
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Motion from Force The net force causes the block to accelerate. The amount of acceleration is force divided by mass. This is a constant acceleration moving the block. m
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Inclined Plane Pushing a block up an incline is easier than lifting. To get constant velocity a force equal to the downward acceleration must be applied. m
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Mechanical Advantage The inclined plane has been used as a machine for centuries. Pushing a block up an incline is easier than lifting. The ratio of the force to lift directly compared to the force using the incline is the mechanical advantage. next m
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