An object with a mass of #7 kg# is on a ramp at an incline of #pi/12 #. If the object is being pushed up the ramp with a force of # 2 N#, what is the minimum coefficient of static friction needed for the object to remain put?

Answer 1

The minimum coefficient of static friction is #0.237#

You have to visualize the force's diagram of the object. Assuming the sistem with #x# on the surface of ramp and #y# on the normal of surface. There is the orizontal component that is #F(x)=|2N-(mgsin15°)|=15.7N# If the object remains "put": Friction Force=F(x) #F(f)=CF(y)=C(mgcos15°)=15.7N# and #C=15.7/66.33=0.237#.

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Answer 2

Amelia Adams

The minimum coefficient of static friction needed for the object to remain put is 0.286.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.