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A rectangular parallelepiped carries three forces shown in fig. Reduce the force system to a resultant force applied at the origin and a moment around origin.

written 9.5 years ago by teamques10 ★ 70k

•   modified 5.7 years ago

engineering mechanics

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written 9.5 years ago by teamques10 ★ 70k

•   modified 9.5 years ago

NOTE: We have to replace by a force and a couple. It means we need to find the Resultant and the total moment about origin.

$R= 484i + 350j -103k N \\ M = M1 + M2 + M3$

= $[ i(-412) –j(515) +k(686)] + [ i(0) –j(0) +k(-500)] +[ i(750) –j(937.5) +k(0)] \\ \therefore M= 338i -1452.5j + 186k Nm $

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