(8%) Problem 11: I start walking. The 1st leg of my trip I walk a-55 m at a 15 s

Question

(8%) Problem 11: I start walking. The 1st leg of my trip I walk a-55 m at a 15 south of east. The 2nd leg of my trip I walk dB = 55 m at eB = 19° north of east. On my final leg I walk ac = 85 m at c 52° north of west. Choose the coordinate system so that x is directed towards the east, and y is directed towards the north. 25% Part (a) Write an expression for the x component of the final displacement in terms of the given quantities. 25% Part (b) Write an expression for the y component of the final displacement in terms of the given quantities 25% Part (c) What is the magnitude of my displacement vector (in meters) as measured from the origin? 25% Part (d) What is the angle ofmy displacement vector as measured counterclockwise from the +x-axis? -

Explanation / Answer

part A)

x-componenet

Rx = dA cos(A )+ dB cos(B) - dC cos(C) .....................(1)

y-componenet

Ry = -dA sin(A) +dB sin(B) + dC sin(C)........................(2)

magnitude od displacement is given by

= ( Rx^2 + Ry^2) ....................(3)

angle of displacement is given by

tan = Ry/Rx.........................(4)

from (1),   Rx=52.78m

from (2), Ry=70.65m

from (3), R=88.19m

from (4)   =tan^(-1)70.65/52.78=53.20

similarly we can do next problems.

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