V. Apply Newton's 2nd Law to each axis independently.
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F40376406-6cb6-48d9-b5f5-7e88bbcae21a%2Fbf2223fe-c07c-4df3-a6f1-e962e5e8aa38%2F3dr4cpi_processed.jpeg&w=3840&q=75)
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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