Find the frictional (in Newtons) force

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Find the frictional (in Newtons) force
Transcribed Image Text:Find the frictional (in Newtons) force
Expert Solution
Step 1

Given data:

The mass of the box is: m = 10.8 kg

The coefficient of static friction is: μs = 0.56

The coefficient of kinetic friction is: μk = 0.4

The angle of the inclined plane is: α = 20.2o

The small pushing force to cause the motion is: F

The kinetic friction is: fK

To determine the two-component of weight,

The component of weight along the inclined plane is, Wx = mgsinα

The component of weight perpendicular to the inclined plane is: Wy = mgcosα

Determine the small pushing force to cause the motion by applying Newton’s second law along the inclined plane,

Physics homework question answer, step 1, image 1

Put given values in the above expression,

Physics homework question answer, step 1, image 2

This is the small force required to cause the crate in the motion.

 

 

 

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