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V. Apply Newton's 2nd Law to each axis independently.

V. Apply Newton's 2nd Law to each axis independently.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Now: Assume an x-axis which is aligned parallel with the inclined surface, i.e.: Let x refer to the axis along which we expect the particle to accelerate. Assume a perpendicular y-axis which is perpendicular to a and is thereby aligned perpendicular to the particle's path, i.e.: Let y refer to an axis normal to the surface. A. The Acceleration h (7 sub-parts leading to a final goal. Final goal = As a function of g and 0, determine an expression for a: the rate of acceleration which we should expect to measure for the mass at any given instant during its journey down toward the lab table.) i. Draw a System Schema focused on the mass of interest in this situation, i.e.: draw a circle to depict every object interacting with this mass; draw a line segment to depict every interaction. ii. Draw a Pure Free-Body-Diagram of the mass, i.e.: draw a vector arrow to depict the comparative magnitude and direction of every force acting on this mass. iii. Explicitly specify every Newton's 3rd Law ('action/reaction') pair identified by your F-B-D; each pair should be written in the form [pulls] or [pushes] [up] or [down] or [to the left] or [to the right]', etc. iv. Using the coordinate axes specified above, Draw a Component Free-Body-Diagram of the mass, i.e.: zoom in on and break up off-axis vectors so as to create a final F-B-D that contains nothing but arrows lying along coordinate axes. v. Apply Newton's 2nd Law to each axis independently. Rage 5 of Q
Transcribed Image Text:Now: Assume an x-axis which is aligned parallel with the inclined surface, i.e.: Let x refer to the axis along which we expect the particle to accelerate. Assume a perpendicular y-axis which is perpendicular to a and is thereby aligned perpendicular to the particle's path, i.e.: Let y refer to an axis normal to the surface. A. The Acceleration h (7 sub-parts leading to a final goal. Final goal = As a function of g and 0, determine an expression for a: the rate of acceleration which we should expect to measure for the mass at any given instant during its journey down toward the lab table.) i. Draw a System Schema focused on the mass of interest in this situation, i.e.: draw a circle to depict every object interacting with this mass; draw a line segment to depict every interaction. ii. Draw a Pure Free-Body-Diagram of the mass, i.e.: draw a vector arrow to depict the comparative magnitude and direction of every force acting on this mass. iii. Explicitly specify every Newton's 3rd Law ('action/reaction') pair identified by your F-B-D; each pair should be written in the form [pulls] or [pushes] [up] or [down] or [to the left] or [to the right]', etc. iv. Using the coordinate axes specified above, Draw a Component Free-Body-Diagram of the mass, i.e.: zoom in on and break up off-axis vectors so as to create a final F-B-D that contains nothing but arrows lying along coordinate axes. v. Apply Newton's 2nd Law to each axis independently. Rage 5 of Q
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