ch04-p004 - 4. We choose a coordinate system with origin at...

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(a) In unit-vector notation, we have 12 ˆˆ (10 cm)i and ( 10 cm)j. rr == GG Thus, Eq. 4-2 gives 21 (1 0 cm ) i 0 ) j . rrr Δ= − =− +− GGG and the magnitude is given by 22 | | ( 10 cm) 14 cm. r Δ= − = G (b) Using Eq. 3-6, the angle is 1 10 cm tan 45 or 135 . θ §· ° ° ¨¸ ©¹ We choose 135 −° since the desired angle is in the third quadrant. In terms of the magnitude-angle notation, one may write 0 ) i 0 ) j ( 1 4 1 3 5) . rr r ∠− ° GG G (c) In this case, we have ˆ ( 10 cm)j and (10 cm)j, and (20 cm)j. r =− = Δ= G Thus, || 2 0 c m . r G (d) Using Eq. 3-6, the angle is given by
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This note was uploaded on 05/17/2011 for the course PHY 2049 taught by Professor Any during the Spring '08 term at University of Florida.

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