The coefficient of kinetic friction between the 20-kg crate and the inclined plane shown in Figure 1) is = 0.2Figure1of1 >Part AIf the crate is traveling up the inclined plane with a constant velocity = 5 m/s, determine the power of force FExpress your answer to three significant figures and include the appropriate units.t teP=SubmitValueProvide FeedbackHequeat ArawVUnitsPart A keyboard shortcuts for Part A he for Part A

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Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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The coefficient of kinetic friction between the 20-kg crate and the inclined plane shown in Figure 1) is = 0.2
Figure
1of1 >
Part A
If the crate is traveling up the inclined plane with a constant velocity = 5 m/s, determine the power of force F
Express your answer to three significant figures and include the appropriate units.
t te
P=
Submit
Value
Provide Feedback
Hequeat Araw
V
Units
Part A keyboard shortcuts for Part A he for Part A

Expert Solution

Step 1

Given data:

Mass of the crate $m = 20 k g$

Coefficient of kinetic friction: $μ = 0.2$

The velocity of the crate $v = 5 m / s$

The angle of the inclined surface $θ = 30 °$

To move the crate in the forward direction, the force in the crate should be at least equal to the sum of the weight component of the crate in opposite direction along the crate and the friction force.

So force required: $F = m g \sin θ + μ N$

Where N is the normal reaction of the crate on the surface. $N = m g \cos θ$

So $F = m g \sin θ + μ m g \cos θ$

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