How do you find torque for a particle at a specific point using vector products?

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SUMMARY

The discussion focuses on calculating torque for a particle using vector products, specifically at two points: the origin and the coordinates (0, 4) m. The torque about the origin is determined using the position vector r = (i + 3j) m and the force vector F = (1i + 7j) N. For the second part, the correct approach involves finding the new position vector by subtracting the point (0, 4) from the original position vector, leading to a torque calculation of 8 Nm.

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[SOLVED] Vector products and torque

Homework Statement


A particle is located at the vector position r = (i + 3j) m, and the force acting on it is F = (1i + 7j) N.
(a) What is the torque about the origin?
(b) What is the torque about the point having coordinates (0, 4) m?

The Attempt at a Solution


I got the answer for the first part, but I am confused about part b. At first I thought I was supposed to just switch (i +3j) with (0,4) but that is not right. So then I thought that maybe I was supposed to do this:
(1,3) - (0,4) = new vector, and the coordinates for the new vector to find the torque which would be equal to 8 nm. Is that how I am supposed to do it?
 
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Quite correct.
 
I thank ye
 

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