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Forces in Two Dimensions Section 7.1 Physics Objectives • Determine the force that produces equilibrium when three forces act on an object. • Analyze the motion of an object on an inclined plane with and without friction. How have we looked at forces in two dimensions? • Friction acting on a crate sliding on the ground. • What angle are these two forces in relation to each other? – 90° – We will now examine forces at other angles to each other in two dimensions. Equilibrium and the Equilibrant • Equilibrium: the net force on an object is zero. • When in equilibrium, the object is either motionless or moves with constant velocity. Equilibrium and Equilibrant • How do we add two vectors? B A C A B C Because they form a closed triangle, the net force = 0. Equilibrium and Equilibrant • We can move vectors around as long as we don’t change the direction (angle) or magnitude. • Suppose we only have two forces that do not add up to zero. • How do we find the third force that, when added to the other two, would add up to zero? Equilibrium and Equilibrant • The force that results in the net force of zero is known as the equilibrant. B R B A A Equilibrant B A R Net Force = 0 Practice Problem • Pg 151 • 2-4 Switching Gears • Motion along an inclined plane. FN Θ Θ Fg Practice Problems • Pg 154 • 5-8