Rachel pulls her 13 kg suitcase at a constant speed by pulling on a handle that makes an angle x with the horizontal. The frictional force on the suitcase is 28 N and Rachel exerts a 44 N force on the handle.

Question

Rachel pulls her 13 kg suitcase at a constant speed by pulling on a handle that makes an angle x with the horizontal.  The frictional force on the suitcase is 28 N and Rachel exerts a 44 N force on the handle.

a) What angle does the handle make with the horizontal?

b) What is the normal force exerted on the suitcase?

Thoughts:  normal force is equal to the weight minus the y component

drwls · Answer

(a) 44 cos x = 28 (horizontal equlibrium)
Solve for the angle x.
x = cos^-1 28/44 = 50.5 degrees

(b) use vertical equilibrium
up forces = down force

44 sin x + (normal force) = M g = 127.4 N

Solve for the normal force. You could also solve for the coefficient of kinetic friction, but they don't ask for that.

Einstein · Answer

Thanks for your help.