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Force applied on cable attached to car and tree

  • Thread starter Ab17
  • Start date
  • #1
99
2

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

Homework Equations


Efx=0
Efy=O


The Attempt at a Solution



Efx
T1cos@ = t2cos@
T1=T2
Efy=0
F = 2tsin@

Is this right?
 

Answers and Replies

  • #2
CWatters
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F = 2tsin@
Close. That's an equation for F.

The angle is defined in the problem as "u" rather than "@".
 
  • #3
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But is the method of solution correct besides the u?
 
  • #4
CWatters
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Your answer is correct if you rearrange it to give an equation for T.

I don't understand your method.
 
  • #5
CWatters
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I would solve it by drawing a fbd for the point on the rope where f Is applied.
 

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