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For simplicity consider a force whose direction does not correspond to either the x- or y-axis. At the head of the force (where the arrow is) draw a vertical line to the horizontal axis and a horizontal line to the vertical axis. The force is now enclosed by the lines you have drawn and the axes and this enclosure is a rectangle. Since a rectangle is also a parallelogram this means that you have also resolved the given vector into two components, namely, the one given by the portion of the horizontal axis between the origin and where your vertical line meets that axis, and the one given by the portion of the vertical axis between the origin and where your horizontal line meets that axis. These two vectors are the rectangular components of the given force.
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How can a force be resolved into rectangular components?
lved in its rectangular components
What is meant by rectangular components of a force?
For simplicity consider a force whose direction does not correspond to either the x- or y-axis. At the head of the force (where the arrow is) draw a vertical line to the horizontal axis and a horizontal line to the vertical axis. The force is now enclosed by the lines you have drawn and the axes and this enclosure is a rectangle. Since a rectangle is also a parallelogram this means that you have also resolved the given vector into two components, namely, the one given by the portion of the horizontal axis between the origin and where your vertical line meets that axis, and the one given by the portion of the vertical axis between the origin and where your horizontal line meets that axis. These two vectors are the rectangular components of the given force.
How can a force be resolved in to rectangular components?
A force can be resolved into rectangular components by identifying its horizontal and vertical components. This can be done using trigonometry, specifically sine and cosine functions. The horizontal component is found by multiplying the magnitude of the force by the cosine of the angle it makes with the horizontal axis, and the vertical component is found by multiplying the magnitude of the force by the sine of the angle.
How can a force be resolved into its perpendicular components?
1) Graphically. Draw an arrow for the force, and measure the vertical and horizontal components. 2) Use trigonometry. The x-component is the length of the vector times the cosine of the angle, while the y-component is the length of the vector times the sine of the angle. 3) Use the polar-to-rectangular conversion on your scientific calculator. This is the fastest method, but the details are a bit complicated (since the calculator needs to return two values), and vary from one calculator to another. Check your calculator's manual.
How a vector can be express in term of its rectangular component?
A vector can be represented in terms of its rectangular components for example : V= Ix + Jy + Kz I, J and K are the rectangular vector direction components and x, y and z are the scalar measures along the components.
What is meant by rectangular triangle componenets of a vector?
If you plotted the original path and velocity, and the path and velocity of the 'impacting' force, then the third leg of the triangle will be the resultant path and velocity.
What is meant by rectangular unit vector?
A unit vector has a length (magnitude) equal to 1 (one unit). A rectangular vector is a coordinate vector specified by components that define a rectangle (or rectangular prism in three dimensions, and similar shapes in greater dimensions). The starting point and terminal point of the vector lie at opposite ends of the rectangle (or prism, etc.).
What is the angle between rectangular componenet of a vector?
If the components are in the i and j directions, for example, then if the vector is mi + nj then the coefficients m and n can be used to find the magnitude and direction.The magnitude is the hypotenuse of a right triangle with legs m and n, so it is sqrt(m² + n²).
Are rectangular components always at right angle to each other?
Not necessarily.
What is meant by dimensions of plot?
The dimensions of a rectangular plot are its length and width.
What two components describe force?
The two components that describe force are magnitude, which is the strength of the force, and direction, which indicates the line along which the force acts.
What are the components of a car brake?
There are six components of a car brake. It starts with the pedal that the driver presses. Most of the other parts (combo valve, booster, master cylinder) are meant to transmit the action into force, until finally the wheels are reached. Here, drum brakes and disc brakes are used to apply force to the wheels and force them to stop turning.
