# Static equalibrium?

## Homework Statement

A student gets his car stuck in a snow drift. Not at a loss, having studied physics, he attaches one end of a stout rope to the vehicle and the other end to the trunk of a nearby tree, L = 12.2 m away, allowing for a small amount of slack, W = 0.400 m. The student then exerts a force F on the center of the rope in the direction perpendicular to the car-tree line,
If the rope is inextensible and if the magnitude of the applied force is 406 N, what is the force on the car? (Assume equilibrium conditions.)

## Homework Equations

Sum of the forces?

Tryed sum of the forces i dont know really how to calculate the tensions(if thats what your supposed to do. any help will be appreciated

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Hi Chuck 86! … Tryed sum of the forces i dont know really how to calculate the tensions(if thats what your supposed to do. any help will be appreciated
Well, that should have worked …

call both the tensions T (they'll be the same), and use geometry togehter with the fact that the sum of the forces on the centre of the rope will be zero.

(or draw a vector triangle )

What do you get? 