Question

Vector V1-57 N at 30° above the positive x-axis. Write down the x and y-components of this vector. 5. Vector H has components H-15 N and Hy-25 N. What angle does this vector make with the x-axis?

Answer 1

X component of V1 = 49.36 N

Y component of V1 = 28.5 N

Angle is 59 degree

Step-by-step explanation:

V1 = 57 N at 30 degree above + x axis

X component of V1

V1x = V1 Cos 30 = 57 x Cos 30 = 49.36 N

V1y = V1 Sin 30 = 57 x Sin 30 = 28.5 N

Hx = 15 N

Hy = 25 N

Angle made with + X axis is θ.

Tan θ = Hy / Hx = 25 / 15 = 1.667

θ = 59 degree