Write an expression for the x component of the final displacement in terms of th

Question

Write an expression for the x component of the final displacement in terms of the given quantities. Select from the variables below to write your expression. Note that all variables may not be required. Write an expression for the y component of the final displacement in terms of the given quantities. Expression : Select from the variables below to write your expression. Note that all variables may not be required. What is the magnitude of my displacement vector (in meters) as measured from the origin? Numeric : A numeric value is expected and not an expression. What is the angle of my displacement vector as measured counterclockwise from the x-axis? Numeric : A numcric value is expected and not an expression.

Explanation / Answer

(a)
X component of Displacement, = [da*cos(a) + db*cos(b) - dc*cos(c)] m
X component of Displacement, = [120*cos(19) + 125*cos(25) -95*cos(57.5) ]
X component of Displacement, = 175.7 m

(b)
Y component of Displacement, = [- da*sin(a) + db*sin(b) + dc*sin(c)] m
Y component of Displacement, = [- 120*sin(19) + 125*sin(25) + 95*sin(57.5)] m
Y component of Displacement, = 93.88 m

(c)

Magnitude of Displacement, = sqrt(175.7^2 + 93.88^2) m
Magnitude of Displacement, = 199.2 m

(d)
Angle, = tan^-1(93.88/175.7)
Angle, = 28.12o

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