Vector F is the resultant vector obtained by adding vectors iz and Fy, that is, 7=7,+Fy, as depicted in the figure below. What is the magnitude of 7, and ĩ,? +y +x a) Tz =r cos 0 and r, = -r sin 0 od ie qu mola Lbs ,& bms A olgaae rol endioov o ya o t anik = -r cos 0ab era ni analuesT adi ai beobbe or a bns A 1 Yaniog dnailraos od b) rz =r sin 0 and ry = r cos 0 c) Tz = rsin 0 and Ty d) r =r cos 0 and ry =r sin 0 is olo r ed inodalw bns 8A l Igaraniein 1

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Chapter1: Units, Trigonometry. And Vectors
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Question 4
noiteau
Vector r is the resultant vector obtained by adding vectors r, and ry, that is, 7=Tz+ĩy, as depicted in the
figure below. What is the magnitude of , and Ty?
+y
a) rg =r cos 0 and r, = -
=-r sin 0
%3D
b) ra =r sin0 and r, =rcos 0
Ty
eb erti ni anailusr odt ai bobbe orr & bns A 1 anioq inailurao od anob
& bns A 1 Tanion
c) rz =r sin 0 and ry
=-r cos 0
|
3o ow7
d) Tz = r cos 0 and
Ty =r sin 0
%3D
(Hint: First, treat this as a right triangle and use the basic trigonometric functions to determine the sides
Ta and ry, paying close attention to which side is opposite and adjacent to the angle 0. Second, once the
appropriate trigonometric functions have been identified, remember that the sides are actually vectors, so
their directions-in terms of signs, positive or negative, need to be supplied).
Transcribed Image Text:Question 4 noiteau Vector r is the resultant vector obtained by adding vectors r, and ry, that is, 7=Tz+ĩy, as depicted in the figure below. What is the magnitude of , and Ty? +y a) rg =r cos 0 and r, = - =-r sin 0 %3D b) ra =r sin0 and r, =rcos 0 Ty eb erti ni anailusr odt ai bobbe orr & bns A 1 anioq inailurao od anob & bns A 1 Tanion c) rz =r sin 0 and ry =-r cos 0 | 3o ow7 d) Tz = r cos 0 and Ty =r sin 0 %3D (Hint: First, treat this as a right triangle and use the basic trigonometric functions to determine the sides Ta and ry, paying close attention to which side is opposite and adjacent to the angle 0. Second, once the appropriate trigonometric functions have been identified, remember that the sides are actually vectors, so their directions-in terms of signs, positive or negative, need to be supplied).
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It is given that :r = rx +ry

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