Question

Resolving Vector Components with Trigonometry 16 of 20> Part A Often a vector is specified by a magnitude and a direction; for example, a rope with tension T exerts a force of magnitude T 201 in a direction θ = 35° north of east. This is a good way to think of vectors; however, to calculate results with vectors, it is best to select a coordinate system and manipulate the components of the vectors in that coordinate system. Find the components of the vector A with length a-1.00 and angle α= 15.0 o with respect to the x axis as shown in (Figure 1). Enter numerically, separated by a comma, the x component followed by the y component. View Available Hint(s) Figure 1 of 1 SubmitPrev evious Answer X Incorrect, Try Again; 5 attempts remaining ▼ Part B Find the components of the vector B with length b = 1.00 and angle β=200° with respect to the x axis as shown in (Figure 1). length = b length = a Enter numerically, separated by a comma, the x component followed by the y component. View Available Hint(s)

Answer 1

Magnitude of vector A = 1 m
Angle = 15 degrees
x-component of A is = A cos 15 = 0.9659 m
y-component of A is = A sin 15 = 0.2588 m
(b). magnitude of B = 1 m
Angle = 20 degrees
x-component of B = B cos 20 = 0.9396 m
y-component of B = B sin 20 = 0.3420 m
(c). magnitude of C = 1 m
angle = 25 degrees
x-component of C = 1 cos 25 = 0.9063 m
y-component of C is = 1 sin 25 = 0.4226 m