Determine the magnitude of the resultant force acting at A. Determine coordinate

Question

Determine the magnitude of the resultant force acting at A.

Determine coordinate direction angle ? of the resultant force acting at A.

Determine coordinate direction angle ? of the resultant force acting at A.

Determine coordinate direction angle ? of the resultant force acting at A.

Determine the magnitude of the resultant force acting at A. Determine coordinate direction angle ? of the resultant force acting at A. Determine coordinate direction angle ? of the resultant force acting at A. Determine coordinate direction angle ? of the resultant force acting at A.

Explanation / Answer

Magnitudes of F(b) and F(c) should be given.

For your understanding I am taking F(b) = 650N and F(c) = 500 N

direction of F(b)= -1.5i -2.5j +2k

?unit vector in the direction of F(b)= [-1.5i -2.5j +2k]/sqrt(1.52 + 2.52+22)

=-0.424i-0.707j+0.566k

direction of F(c)=-1.5i+0.5j+3.5k

?unit vector in the direction of F(c)=-0.391i +0.130j+0.911k

?resultant= 620( -0.424i-0.707j+0.566k) +500(-0.391i +0.130j+0.911k)

=-458.38i-373.34j+806.42k

magnitude of resultant=999.9 N

unit vector in the direction of resultant=-.458i-.373j+.806k

?=cos-1(-.458)=117.26 deg

?=cos-1(-.373)=111.90 deg

?=cos-1(.806)=36.29 deg

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