(b) What angle does the strap make with the horizontal? ° (c) What is the magnit

Question

(b) What angle does the strap make with the horizontal?
°

(c) What is the magnitude of the normal force that the ground exerts on the suitcase?
N

A woman at an airport is towing her 14.5-kg suitcase at constant speed by pulling on a strap at an angle ? above the horizontal. She pulls on the strap with a 28.5-N force, and the friction force on the suitcase is 20.0 N. (b) What angle does the strap make with the horizontal? (c) What is the magnitude of the normal force that the ground exerts on the suitcase? N

Explanation / Answer

we have,
F = 28.5 N
angle =

Frictional Force f = 20 N

Now, since its given that body moves with constant velocity, hence we can balance the forces,

a.

Now,

Fx = f

28.5cos = 20

cos = 0.70175

angle = 45.432 degrees

b.

Along y axis,

N+ Fy = Mg

N = Mg-Fy

= 14.5 x 9.8 - 28.5 sin(45.432)

Normal Force N = 121.796 Newtons

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