How Do You Calculate Tension in a Tow Rope for a Car on a Ramp?

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To calculate the tension in a tow rope for a 1500-kg car on a 20-degree ramp, one must consider the forces acting on the car, including gravity, friction, and the tow force. The coefficient of static friction is 0.8 and kinetic friction is 0.5, affecting the calculations for different scenarios: before movement, during steady movement, and during acceleration. The user provided initial calculations for tension but expressed uncertainty about their accuracy. The tension values calculated were 1600 N before movement, 11946.4 N during steady movement, 4914.25 N while descending, and 6736.08 N when accelerating. Clarification and confirmation of these calculations are sought for accuracy.
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Homework Statement



A 1500-kg car is dragged up a 20 degree rough ramp by a tow truck. The coefficient of static and kinetic friction between the car and the ramp are 0.8 and 0.5 respectively. Assume that wheels are locked.

*Note: picture of a sedan pulled up a ramp with a rope.
Find the tension in the tow rope:

a.) Just before car moves up the ramp.
b.) When the car moves up the ramp at a steady speed of 0.5 m/s.
c.) When car moves down the ramp at a steady speed of 0.5 m/s.
d.) The car is pulled up the ramp at an acceleration, a =0.2 m/s^2.

Homework Equations



Don't nkow i got these .

The Attempt at a Solution


mayb i started off with msintheta, so it'll be 15000kgsin20=5130N

1 a.) T=1600 and t+78.4
b.) 11946.4
c.) 4914.25
d.) 6736.08

I don' tknow if these answers are right. I'm just not sure on where to start on it. Any help on it is appreciated!
 
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jiwon said:
i lost the paper that i worked on. i only see the answers that i wrote down. Please help me!

:smile:
 
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