Physics XI Content
ADDITION OF VECTORS BY RECTANGULAR COMPONENTS METHOD
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INTRODUCTION
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Rectangular component method of addition of vectors is the simplest method to add a number of vectors acting in different directions. | |||
DETAILS OF METHOD
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Consider two vectors ![]() |
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STEP #01
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Resolve vector ![]() ![]() ![]() |
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Magnitude of these components are: | |||
![]() and ![]() |
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STEP #02
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Resolve vector ![]() ![]() ![]() |
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Magnitude of these components are: | |||
![]() and ![]() |
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STEP #03
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Now move vector ![]() ![]() |
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Representative lines of ![]() ![]() ![]() ![]() |
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STEP #04
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Resultant vector along X-axis can be determined as: | |||
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STEP # 05
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Resultant vector along Y-axis can be determined as: | |||
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STEP # 06
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Now we will determine the magnitude of resultant vector. | |||
In the right angled triangle DBOD: | |||
HYP2 = BASE2 + PERP2
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STEP # 07
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Finally, the direction of resultant vector will be determined. | |||
Again in the right angled triangle DBOD: | |||
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Where q is the angle that the resultant vector makes with the positive X-axis. In this way we can add a number of vectors in a very easy manner. This method is known as ADDITION OF VECTORS BY RECTANGULAR COMPONENTS METHOD. |