Vector a is 37m on x axis. Vector b 36 m @230 degree to x axis . Vector c 12 m @ 140 degree x axis. deternine x and y components of vector a,b , and c separately

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Vector a is 37m on x axis. Vector b 36 m @230 degree to x axis . Vector c 12 m @ 140 degree x axis.

deternine x and y components of vector a,b , and c separately 

Expert Solution
Step 1

Given data

  • The magnitude of vector A is A=37 m.
  • The angle between vector A and x-axis is given as θA=0°.
  • The magnitude of vector B is B=36 m.
  • The angle between vector B and x-axis is given as θB=230°.
  • The magnitude of vector C is C=37 m.
  • The angle between vector C and x-axis is given as θC=140°.

The x-components of the vector is A is calculated as,

Ax=AcosθAAx=37 m×cos0°Ax=37 m

The y-components of the vector is A is calculated as,

Ay=AsinθAAy=37 m×sin0°Ay=0 m

Thus, the x and y components of A are 37 m and 0 m respectively.

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