Homework Answers
When a relative-motion analysis involving two sets of coordinate axes is used, the x'-y' coordinate system will be attached to the selected point for analysis. ( system will be fixed to an absolute location so that the frame can certainly move ).
therefore, correct answer is (b)
// for any doubts , please comment //
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When a relative-motion analysis involving two sets of coordinate axes is used the x - y...
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TACTICS BOX 1.5 Drawing a pictorial representation
Draw a motion diagram. The motion diagram
develops your intuition for the motion and, especially important,
determines whether the signs of v? and
a? are positive or negative.
Establish a coordinate system. Select your axes
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Sketch the situation. Not just any sketch. Show
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Help
Choosing the coordinate axes to use is often one of the more difficult choices to make when doing force problems. Almost always the best choice is to choose a coordinate system which is parallel and perpendicular to the net acceleration. For each of the two below situations draw acceleration and FBD diagrams, indicate the direction of the x- and y- axes, and then write the two Newton's law equations. Note: even if the coordinate system rotates you should NEVER...
t5.14. Let x and y be two different coordinate patches for part of a surface M Let X Xx, X, and Y = Y'x Y'y. be two vector fields. Define symbols Z* and Z by χι ΣΓ/Υιχ | and Prove that 2 EZ*(dv|8u*). (Hint: Problem 4.11.) This proves thatZx £ Zy, defines a vector field Z = VxY, called the covariant derivative of Y with respect to X. This is one of the most fundamental concepts of modern differential geometry....
Learning Goal: To gain practice drawing free-body diagramsWhenever you face a problem involving forces, always start with a free-body diagram.To draw a free-body diagram use the following steps:Isolate the object of interest. It is customary to represent the object of interest as a point in your diagram.Identify all the forces acting on the object and their directions. Do not include forces acting on other objects in the problem. Also, do not include quantities, such as velocities and accelerations, that do...
TACTICS BOX 1.5 Drawing a pictorial representation
Draw a motion diagram. The motion diagram
develops your intuition for the motion and, especially important,
determines whether the signs of v? and
a? are positive or negative.
Establish a coordinate system. Select your axes
and origin to match the motion. For one-dimensional motion, you
want either the x axis or the y axis parallel to
the motion.
Sketch the situation. Not just any sketch. Show
the object at the beginning of the motion, at...
A student is riding their bike when they come across a turn in the form of a circular arc of radius R 3.0m as pictured in the diagram below and travel along this arc in the clockwise direction. At one point along this trajectory (the origin of the given coordinate system) it makes sense to define the Cartesian coordinate system shown where the x-axis is tangent to the trajectory and the y-axis is perpendicular to it. At this point the...
Interactive Exercises 4.03: Position and Velocity in Two Dimensions (Space Debris) In a far off galaxy, space debris is blasted into very small (and hence harmless) fragments by means of explosive torpedoes that are fired from special guns. An engineer is to program two such guns to destroy a large asteroid in an interplanetary region-where the effects of gravity are negligible. The first gun is at the origin of an ry coordinate system, as shown in the simulation (linked below)....
4. Matlab Solvers: A Case Study in Mechanics Suppose we have two objects orbiting in space, with masses 1 - and , rotating around each other. For example, think of the earth and the moon, where the moon moves around the earth at distance 1. (Of course, here both the masses and the distance are normalized.) A third object, which is relatively much smaller and does not affect the motion of the first two, is also orbiting in space. Think...
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