the two vectors and in Fig. 3-28 have equal magnitudes of 10.0 m and the angles are 30° and 105°. Find the (a) x and (b) y components of the

Question

the two vectors and in Fig. 3-28 have equal magnitudes of 10.0 m and the angles are 30° and 105°. Find the (a) x and (b) y components of their vector sum r , (c) the magnitude of r , and (d) the angle r makes with the positive direction of the x axis.

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Vân Khánh 3 years 2021-08-24T23:20:58+00:00 1 Answers 4 views 0

Answers ( )

  1. thugiang
    0
    2021-08-24T23:22:18+00:00
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    Answer:

    Explanation:

    For rectangular components:

    Ax = Acostheta

        = 10 x cos30

        = 8.66

    Ay = Asintheta  

        = 10 x sin30

        =5.

    Bx = Bcostheta

        = 10 x cos105

        = -2.58

    By = Bsin105

       = 10 x sin105

       = 9.65

    For magnitude of R:

    A = Ax + Ay

      = 8.66 + 5

      = 13.66

    B = Bx + by

       = -2.58 + 9.65

       = 7.07

    R = sq A*2 + B*2

      = 15.38

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