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The bracket is subjected to the two forces shown. Express each force in the Cart

ID: 1590421 • Letter: T

Question

The bracket is subjected to the two forces shown. Express each force in the Cartesian vector and then determine the resultant force Fr. Find the magnitude and the coordinate direction angles of the resultant force. The bracket is subjected to the two forces shown. Express each force in the Cartesian vector and then determine the resultant force Fr. Find the magnitude and the coordinate direction angles of the resultant force. The bracket is subjected to the two forces shown. Express each force in the Cartesian vector and then determine the resultant force Fr. Find the magnitude and the coordinate direction angles of the resultant force. The bracket is subjected to the two forces shown. Express each force in the Cartesian vector and then determine the resultant force Fr. Find the magnitude and the coordinate direction angles of the resultant force. CE301 Homework Assignment #13 1- The bracket is subjected to the two forces shown. Expr Cartesian vector form and then determine the resulta magnitude and coordinate direction angles of the res 2 F2-250 N 60 45 120 F-400 N 2- The bolt is subjected to the force F, which has com x, y, z axes as shown. If the magnitude of F is 100 determine the magnitudes of its components.

Explanation / Answer

1)

F1 = 400 cos 35 sin 25 x + 400 cos 35 cos 25 y - 400 sin 35 z
= 138.5 x + 297 y - 229.4 z

F2 = 250 cos 120 x + 250 cos 45 y + 250 cos 60 z
= -125 x + 176.8 y + 125 z

Fresultant = F1 + F2
= 138.5 x + 297 y - 229.4 z -125 x + 176.8 y + 125 z
= 13.5 x + 473.8 y - 104.4 z

Magnitude = sqrt (13.5^2 + 473.8^2 + 104.4^2)
= 485.4 N

angle from x axis = acos ( x component / magnitude)
= acos (13.5 / 485.4)
= 88.4 degree

angle from y axis = acos ( y component / magnitude)
= acos (473.8 / 485.4)
= 12.6 degree

angle from z axis = acos ( x component / magnitude)
= acos (-104.4 / 485.4)
= 102.4 degree

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