MCV4U1 Vectors 4.3 Applications Of Vectors - Force Problems.

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MCV4U1 Vectors 4.3 Applications Of Vectors - Force Problems

T wo tractors are pulling a tree stump out of the ground. One pulls with a force of 3000N East and the other pulls with a force of 2300N North-East. a) Find the magnitude of the resultant force. b) Find the angle the resultant force makes with the 3000N force. Example #1: Two Tractors

Example #2 : Tension A 10 kg mass is suspended from the ceiling by two ropes. Find the tension in each rope if the ropes make angles of 30˚and 45˚with the ceiling.

Forces in Equilibrium When forces are in equilibrium the sum of the forces acting upon an object is equal to the zero vector. Equilibrant Force The force that has the same magnitude but opposite direction to the resultant force. (In example 2, the force of gravity is the equilibrant force to the sum of the two tension forces) Resultant Equilibrant

Example #3: Equilibrant Force Forces of 20N and 30N act on an object at an angle of 120˚to each other. Find the magnitude of the equilibrant force and the angle it makes with the 30N force.

Today's Practice Problems p.142 # 4, 6, 7, 9, 10, 13, 17, 24

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