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

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SUMMARY

The discussion focuses on calculating the tension in a tow rope for a 1500-kg car being dragged up a 20-degree ramp with specific friction coefficients. The calculated tensions are 1600 N just before the car moves, 11946.4 N when moving at a steady speed of 0.5 m/s, 4914.25 N when moving down at the same speed, and 6736.08 N when accelerating at 0.2 m/s². The calculations incorporate the effects of static and kinetic friction, as well as gravitational forces acting on the car.

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  • Knowledge of static and kinetic friction coefficients
  • Basic trigonometry for calculating forces on inclined planes
  • Familiarity with free body diagrams
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jiwon
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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!
 
Last edited:
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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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