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14 July, 13:46

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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  1. 14 July, 14:11
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    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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