A 1100-kg car is held in place by a light cable on a very smooth (frictionless)

Question

A 1100-kg car is held in place by a light cable on a very smooth (frictionless) ramp, as shown in the figure (Figure 1) . The cable makes an angle of 31.0 ? above the surface of the ramp, and the ramp itself rises at 25.0 ? above the horizontal.

Draw the force vectors with their tails at the front bumper of the car. The location and orientation of your vectors will be graded. The exact length of your vectors will not be graded.

Find the tension in the cable. (N)

How hard does the surface of the ramp push on the car? (N)

A 1100-kg car is held in place by a light cable on a very smooth (frictionless) ramp, as shown in the figure (Figure 1) . The cable makes an angle of 31.0 ? above the surface of the ramp, and the ramp itself rises at 25.0 ? above the horizontal. Draw the force vectors with their tails at the front bumper of the car. The location and orientation of your vectors will be graded. The exact length of your vectors will not be graded. Find the tension in the cable. (N) How hard does the surface of the ramp push on the car? (N)

Explanation / Answer

mg = 1100*9.8 = 10780 N

T= tension
Tcos(31) - 10780sin(25)=0
T=(10780sin(25))/cos(31)
T= 5314.977...maybe 5315 because of sig figs

now for normal force (how hard the surface of ramp pushes on car)
Tsin(31) - 10780cos(25) + n(normal force) = 0
n = -5315sin(31) + 10780cos(25)
n= 7032.57...or 7033 because of sig figs

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