The 100-lbf crate is initially stationary The coefficients of friction between the crate and the inclined surface are μs = 0.20 and μk = 0.16. Determine whether the crate slips if the horizontal force F = 30 lbf. If the crate slips, determine how far the crate moves from its initial position in 2 seconds. Indicate the tendency for motion.

The 100-lbf crate is initially stationary The coefficients of friction between the crate and the inclined surface are μs = 0.20 and μk = 0.16. Determine whether the crate slips if the horizontal force F = 30 lbf. If the crate slips, determine how far the crate moves from its initial position in 2 seconds. Indicate the tendency for motion.

Physics for Scientists and Engineers: Foundations and Connections

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ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

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Concept explainers

Static and Kinetic Friction

Kinetic friction comes into existence when there are moving surfaces means in other words we can say that the force which comes into existing between moving surfaces is known as kinetic friction.

Question

The 100-lbf crate is initially stationary The coefficients of friction between the
crate and the inclined surface are μs = 0.20 and μk = 0.16. Determine whether the crate slips if the
horizontal force F = 30 lbf. If the crate slips, determine how far the crate moves from its initial
position in 2 seconds. Indicate the tendency for motion.

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Step 1: Free Body diagram

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Step 2: Force equilibrium equation in the perpendicular direction

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Step 3: Motion of the crate due to the static frictional force and the total force in the parallel direction

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Step 4: Force equilibrium equation in the parallel direction

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Step 5: Second kinematic equation

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