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This is a sample problem in Physics 1 for the topic Vector
Typology: Exams
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θ
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R m
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Applyingcomponentmethodin figure
=tan =tan
= 26 sin 10 + 39 cos 24 63 sin 3 57 cos 9
= 26 cos 10 39 sin 24 63 cos 3 57 sin 9
1 1
2 2 2 2
PROBLEM:
James walks 26m 10o^ north of east, 39m 24o^ west of north, 63m 3o^ south of west and then 57m 9o^ west of south. Where does James end up relative to his starting point?
SOLUTION:
FIGURE 2.
o o o
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x Y
Y
o o o o Y
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o o o o X
θ
θ
θ
R m
R m
R m
Applyingcomponentmethod u g positiveanglein figure
=tan =tan
= 26 sin 10 + 39 sin 114 + 63 sin 183 57 sin 261
= 26 cos 10 + 39 cos 114 + 63 cos 183 + 57 cos 261
: sin 2. 8 :
1 1
2 2 2 2
FIGURE 2.