Sunday, January 30, 2011

Problem 1.71

You are to program a robotic arm on an assembly line to move in the xy-plane. Its first displacement is \vec A; its second displacement is \vec B, of magnitude
6.40 cm and direction 62.6^\circ measured in the sense from the +x-axis toward the -y-axis. The resultant  \vec C= \vec{A} + \vec{B} of the two displacements should also have a magnitude of 6.40 cm, but a direction 22.5^\circ measured in the sense from the +x-axis toward the +y-axis.
Part A
Find the component A_x of \vec A.
ANSWER:


2.97
Correct
  {\rm cm}
Part B
Find the component A_y of \vec A.
ANSWER:


8.13
Answer Requested
  {\rm cm}
Part C
Find the magnitude of \vec A.
ANSWER:


8.66
Correct
  {\rm cm}
Part D
Find the direction of \vec A measured in the sense from +x - axis toward the +y - axis.
ANSWER:


69.9
Correct
  ^\circ

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