# Force applied on cable attached to car and tree

## Homework Statement

your car is stuck in the mud and you can’t pull hard enough to get it out. You do, however, have a long cable that you connect taut between your front bumper and the trunk of a stout tree. You now pull sideways on the cable at its midpoint, exerting a force f. Each half of the cable is displaced through a small angle u from the straight line between the ends of the cable. (a) Deduce an expression for the force acting on the car. (b) Evaluate the cable tension for thecasewhereu57.00°andf 5100N

Efx=0
Efy=O

## The Attempt at a Solution

Efx
[email protected] = [email protected]
T1=T2
Efy=0
F = [email protected]

Is this right?

CWatters
Homework Helper
Gold Member

Close. That's an equation for F.

The angle is defined in the problem as "u" rather than "@".

But is the method of solution correct besides the u?

CWatters
Homework Helper
Gold Member
Your answer is correct if you rearrange it to give an equation for T.

CWatters
Homework Helper
Gold Member
I would solve it by drawing a fbd for the point on the rope where f Is applied.