Question

Chapter 01, Problem 53 Asailb atace course consists of four legs, defined by the displace ment vectors A.J で and,asthe drawing dicates. The agrit des of the n st three vectors are A - 3.00 km, 8 4.70 km, and C 4.70 km. The finish line of the course coinodes with the starting ine. Using the data in the drewing, find (a) the dstance of the ourth leg and (b) the anghe (a) Number (b) Number Question Attempts: Unlimited AE FOR LA 3 4 5 6 mmandoption mmand

Answer 1

A^rightarrow + B^rightarrow + V^rightarrow + D^rightarrow = 0 (1) A^rightarrow = Vertical-bar A^rightarrow Vertical-bar cos 40 i^+ Vertical-bar A^rightarrow Vertical-bar sin 40 j^= 3 cos 40 degree i^+ 3 sin 40 j^= (2.3 i^+ 1.93 j^) km similarly b^rightarrow = - 3.85 i^+ 2.7 j^c^rightarrow = - 4.33 i^- 1.84 j^step 2 out vactor A^rightarrow. B^rightarrow & c^rightarrow in eqn (1) we get (2.3 - 3.85 - 4.33) i^+ (1.93 + 2.7 - 1.84)j^+ D^rightarrow = 0 - 5.88 i^+ 2.79 j^+ d^rightarrow = 0 D^rightarrow = 5.88 i^- 2.79 j^ Vertical-bar D^rightarrow Vertical-bar = squareroot 5.88^2 + 2.79^2 = 6.51 km (b) step 4 theta = tan^-1 (2.79/5.88) = 25.38 degree

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