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.

Answer 1

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