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A force F=(2hati+3hatj+4hatk)N is acting...

A force `F=(2hati+3hatj+4hatk)N` is acting at point `P(2m,-3m,6m)` find torque of this force about a point `O` whose position vector is
`(2hati-5hatj+3hatk)` m.

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AI Generated Solution

To find the torque of a force \( \mathbf{F} = (2\hat{i} + 3\hat{j} + 4\hat{k}) \, \text{N} \) acting at point \( P(2 \, \text{m}, -3 \, \text{m}, 6 \, \text{m}) \) about point \( O \) whose position vector is \( \mathbf{R_O} = (2\hat{i} - 5\hat{j} + 3\hat{k}) \, \text{m} \), we will follow these steps: ### Step 1: Determine the position vectors First, we need to define the position vectors for points \( P \) and \( O \): - Position vector of point \( P \): \[ \mathbf{R_P} = 2\hat{i} - 3\hat{j} + 6\hat{k} \, \text{m} \] ...
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