Answered: Determine the moment of the forces…

Determine the moment of the forces acting on the handle of the wrench about the a axis. Take F1 =-2i + 4j –8k (lb), F2 = 3i + 2j –6k (lb).

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter2: Basic Operations With Force Systems

Section: Chapter Questions

Problem 2.53P: Determine the moment of the force F=40i8j+5kN about the y-axis.

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Question

detailed answer please

Determine the moment of the forces acting on the handle of the wrench about the a axis.
Take F1 = -2i + 4j –8k (lb), F2 = 3i + 2j -6k (lb).
45°
4 in.
6 in.
3.5 in.

Expert Solution

Step 1

Given Data:

The force $F_{1} = - 2 i + 4 j - 8 k lb .$
The force $F_{2} = 3 i + 2 j - 6 k lb .$

The coordinate of point C can be determined as,

$\begin{array}{rcl} C (x, y, z) & = & (6 \sin 45 °, 0, 6 \cos 45 °) \\ = & (4.24, 0, 4.24) \end{array}$

The coordinate of point A can be determined as,

$\begin{array}{rcl} A (x, y, z) & = & (6 \sin 45 ° + 4 \sin 45 °, 0, 6 \cos 45 ° - 4 \cos 45 °) \\ = & (7.071, 0, 1.414) \end{array}$

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