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A 1140 kg car is held in place by a light cable on a very smooth (frictionless) ramp, as shown in the figure. The cable makes an angle of 31.0 degrees above the surface of the ramp, and the ramp itself rises at 25.0 degrees above the horizontal.
Find the tension in the cable. (T=?)
How hard does the surface of the ramp push on the car? (N=?)
I am having the most difficult time trying to put the equations together. When I finally think that I put them together correctly, I don't know how to solve for a specific variable. I know that in this problem I will have two unknowns, T and N. I just can't find the reasoning behind putting the equations together. Help!
So far I think that:
Fx = Tcos(31)  w*sin(25) = 0
Fy = Tsin(31)  w*cos(25) +n = 0
I think I need the most help setting up the equations and solving for the answer. Can you please be as detailed as possible?
Thanks!
Find the tension in the cable. (T=?)
How hard does the surface of the ramp push on the car? (N=?)
I am having the most difficult time trying to put the equations together. When I finally think that I put them together correctly, I don't know how to solve for a specific variable. I know that in this problem I will have two unknowns, T and N. I just can't find the reasoning behind putting the equations together. Help!
So far I think that:
Fx = Tcos(31)  w*sin(25) = 0
Fy = Tsin(31)  w*cos(25) +n = 0
I think I need the most help setting up the equations and solving for the answer. Can you please be as detailed as possible?
Thanks!
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