A force of - F k ^ acts on O , the origin of the coordinate system. The torque about the point ( 1 , - 1 ) is

Question

A force of - F k ^ acts on O , the origin of the coordinate system. The torque about the point ( 1 , - 1 ) is, - F i ^ - j ^, F i ^ - j ^, - F i ^ + j ^, F i ^ + j ^

MARKS App · Accepted Answer

τ → = r → × F → Find the position vector with respect to O(origin) is r → F ⁡ → = - F k ^ r ⁡ → = - i ⁡ ^ + j ⁡ ^ τ → = r ⁡ → × F ⁡ → = - i ⁡ ^ + j ⁡ ^ × F ⁡ - k ^ = - j ⁡ ^ + - i ⁡ ^ F ⁡ = F ⁡ - i ⁡ ^ - j ⁡ ^

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