What displacement must be added to a 50cm displacement in the +x-direction to give a resultant displacement of 85cm at 25 degrees

5 answers

85cm @ 25 deg.
Convert the vector to hor. and ver
components.

x = hor = 85cos25 = 77 cm.

y = ver = 65*sin85 = 35.2 cm.

Additions to the vector:
x + 50 = 77,
x = hor = 77 - 50 = 27 cm to be added.

y + 0 = 35.2,
y = 35.2.

R = 27 + 35.2i = 44.4 @ 52.5 deg.
CORRECTIONS:
Y = ver = 85*sin25 = 35.2.
50i+xi=77i+36j
Xi=27i+36j
X=(27²+36²)½
X=45cm.
@ tan- I(36/27)=52°
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