96915 - Physics 2211: Matter and Interactions Dr. Ed Greco...

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Physics 2211: Matter and Interactions Dr. Ed Greco Example: Determine the tension in the wires System: Ball The ball is interacting with the Earth The ball is in contact with two wires 1 2 F wire , 1 F wire , 2 F Earth
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Physics 2211: Matter and Interactions Dr. Ed Greco Example: Determine the tension in the wires The block is in static equilibrium This is really two equations, one for each direction (x and y) F wire1 F wire2 F Earth d p dt = 0 = F net F net = F Earth F wire1 F wire2 F Earth , x F wire1 , x F wire2 , x = 0 F Earth , y F wire1 , y F wire2 , y = 0
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Physics 2211: Matter and Interactions Dr. Ed Greco Example: Determine the tension in the wires To determine the components requires trigonometry There are two equations and two unknowns F wire1 F wire2 F Earth 2 1 F wire1 cos 1 F wire2 sin 2 = 0 mg F wire1 sin 1 F wire2 cos 2 = 0 F wire1 = F wire2 sin 2 cos 1 F wire2 = mg tan 1 sin 2 cos 2
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96915 - Physics 2211: Matter and Interactions Dr. Ed Greco...

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