A 68 kg crate is dragged across a floor by pulling on a rope attached to the crate and inclined 13° above the horizontal. (a) If the coefficient of static friction is 0.51, what minimum force magnitude is required from the rope to start the crate moving? (b) If Mk = 0.26, what is the magnitude of the initial acceleration (m

Physics for Scientists and Engineers: Foundations and Connections
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Chapter5: Newton's Laws Of Motion
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A 68 kg crate is dragged across a floor by pulling on a rope attached to the crate and inclined 13° above the horizontal. (a) If the coefficient of static friction is 0.51, what minimum force magnitude is required from the rope to start the crate moving? (b) If Mk = 0.26,

what is the magnitude of the initial acceleration (m/s^2) of the crate?

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Step 1- Analyzing problem

A crate of mass m=68 kg, is dragged across a floor by pulling on a rope attached to the crate and inclined 13° above the horizontal as shown in fig-1

The  coefficient of static friction  μs = 0.51 and coefficient of kinetic friction μk = 0.26

                                Physics homework question answer, step 1, image 1

                                                                     fig-1

Forces acting on crate are

(1) Weight W=mg , due to gravity

(2) Normal reaction N, due to contact with floor 

(3) Applied force, F on the rope

(4) Friction f , due to tendency of motion or motion of crate relative to floor

 

 

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