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Answers
4.
The motion of a body in a plane is known as two dimensional motion. An ant moving in a plane. surface is an example of two dimensional motion.
51.
To find:
expression for X and Y components.
so first we have to draw a figure for this,
I have attached it;)
The first figure represents the vector form
as.
And the second one represents the magnitude of the vector A and it's X and Y components.
From that on taking
we get,
cos (thetta) = Ax/A
where,
Ax is the X component.
so,
we can say,
Ax = Acos(thetta) from that...
Now on taking sin(thetta) from the same triangle,
we get,
sin(thetta) = Ay/A
where,
Ay is the Y component.
so, we can say,
Ay = Asin(thetta) from that
Hence
X component, Ax = Acos(thetta)
Y component, Ay = Asin(thetta)
52.
Given:
- P vector = 2i + 4j
- Q vector = 3i - j
(a) P vector + Q vector
To add two vectors, add the x and y component of each vectors together,
so here it becomes,
P vector + Q vector = (2i + 3i) + (4j + (-j)
P vector + Q vector = 5i + 3j
(b) P vector - 2Q vector
P vector - 2Q vector = (2i + 4j) - 2(3i - j)
P vector - 2Q vector = (2i + 4j) - (6i - 2j)
P vector - 2Q vector = 2i + 4j - 6i + 2j
P vector - 2Q vector = -4i + 8j
Hope this helps you!
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Gautham29 :)
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