Question #201050

Compute the magnitude of the moment of the force P about point A


1
Expert's answer
2021-05-31T17:02:38-0400

Gives

Point A 

Magnitude of moment of force=P


The moment of a force about a point provides a measure of the tendency for rotation (sometimes called a torque). As shown,

d is the perpendicular distance from point A to the line of action of the force. by using the components of F as shown.

Moment of force =force×\times perpendicular distance

τ=F×d\tau=F\times d

2-D moment of force

τ=i^j^k^FxFyFzdxdydz\tau=\begin{vmatrix} \hat i&\hat j&\hat k\\ F_x & F_y &F_z\\ d_x&d_y&d_z \end{vmatrix}


τ=i^(FydzFzdy)j^(FxdzFzdx)+k^(FxdyFydx)\tau=\hat i (F_yd_z-F_zd_y)-\hat j(F_xd_z-F_zd_x)+\hat k(F_xd_y-F_yd_x)



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