Question

A force table applies three forces to a ring in the center of the table. When...

A force table applies three forces to a ring in the center of the table. When the forces are balanced, the ring is stationary in the center of the table. The net force equation F1+F2+F3=Fnet becomes F1+F2+F3=0 since a stationary object has no net force acting on it. This equation is true for the cartesian components as well:

F1x+F2x+F3x=0

F1y+F2y+F3y=0

For each of the three problems below, calculate the force F3 that balances the table with the given F1 and F2.

1. F1= (1.35N, 68°) and F2= (1.22N, 291°).

a) Find the x-component of F3.

b) Find the y-component of F3.

c) Find the magnitude of F3.

d) Find the direction of F3.

2. F1= (0.92N, 119°) and F2= (1.80N, 248°).

a) Find the x-component of F3.

b) Find the y-component of F3.

c) Find the magnitude of F3.

d) Find the direction of F3.

3. F1= (0.50N, 61°) and F2= (1.11N, 99°).

a) Find the x-component of F3.

b) Find the y-component of F3.

c) Find the magnitude of F3.

d) Find the direction of F3.

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