Determine the x and y components of the following threevectors in the xy plane.

Question

Determine the x and y components of the following threevectors in the xy plane.

(a) A 9-m displacement vector that makes an angle of 26°clockwise from the +y direction. x: .......... m y: ...........m

(b) A 26-m/s velocity vector that makes an angle of 34°counterclockwise from the -x direction. x: .... m/s y: .... m/s

(c) A 50-lb. force vector that makes an angle of 107°counterclockwise from the -y direction. x:.....Ib y:.....Ib
Determine the x and y components of the following threevectors in the xy plane.

(a) A 9-m displacement vector that makes an angle of 26°clockwise from the +y direction. x: .......... m y: ...........m

(b) A 26-m/s velocity vector that makes an angle of 34°counterclockwise from the -x direction. x: .... m/s y: .... m/s

(c) A 50-lb. force vector that makes an angle of 107°counterclockwise from the -y direction. x:.....Ib y:.....Ib

Explanation / Answer

a) x: 9*sin(26)m = 3.95m y: 9*cos(26)m = 8.09m b) x: 26m/s * cos(34) = 21.55 m/s y:26m/s*sin(34) = 14.54 m/s c) counterclockwise from -y is 107-90=17 degree from xcounterclockwise . x: 50lb*cos(107-90) = 47.82 lb y: 50lb*sin(107-90) = 14.62 lb

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