Consider an object on a ramp as shown in the figure. The object has a mass of 3.

Question

Consider an object on a ramp as shown in the figure.

The object has a mass of 3.0 kg and the ramp has an angle of 30°.

a.) Determine the weight of the object ____________ N.

b.) Determine the component of the force directed in the direction of the ramp (Fgx) _________N.

c.) Determine the component of the force directed into the ramp (Fgy). Please include the sign (is it positive or negative?) __________N

d.) Determine the direction and size of the normal force of the ramp that acts on the object (hint: here it is equal and opposite to the y-component of gravity). ___________ N

e.) Determine the acceleration of the object on the ramp (neglect friction) _________m/s2.

f.) Now, let's add friction to this situation. Imagine a coefficient of static friction between the object and the ramp of 0.3. Will the object slide down the ramp? Yes/No

g.) Assume a kinetic coefficient of friction of 0.2. What will be the object's acceleration down the ramp? _______ m/s2

Explanation / Answer

a)

W=Fg=mg = 3.0kg*9.81m/s^2 = 29.43 N

b)

Fgx=Fg*sin=29.43*sin30 = 14.72 N

c)

Fgy=Fg*cos=29.43*cos30 = 25.5 N

d)

Applying Newton’s 2nd law along vertical direction(y),

Fn-Fgy = may = 0

Fn=Fgy

Fn= 25.5 N ……………….directed along Y axis

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