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A flat screen tv is mounted on the wall of a room using bracket ABC, which is fi

ID: 1849330 • Letter: A

Question

A flat screen tv is mounted on the wall of a room using bracket ABC, which is fixed in position. For comfortable viewing the tv may be rotated about line AB. For the direction angles ?x = 61?, ?y = 66.34? and ?z = 141? for the 27 N force at point D, determine the moment of this force about line AB. Note: for the coordinates of point D given, the top and bottom edges of the tv are not parallel to the x axis.

A flat screen tv is mounted on the wall of a room using bracket ABC, which is fixed in position. For comfortable viewing the tv may be rotated about line AB. For the direction angles ?x = 61?, ?y = 66.34? and ?z = 141? for the 27 N force at point D, determine the moment of this force about line AB. Note: for the coordinates of point D given, the top and bottom edges of the tv are not parallel to the x axis.

Explanation / Answer

Correct Answer Below:


What we are looking for the moment about the line AB. Therefore we need the moment at A then dot that with the unit vector AB.


So

MomentA = vector(AD) X F(cos of directions given)

This gives moment of A = (-628,-905.37-859.84)

Then we have MomentAB= MomentA

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