1. **Problem Statement:**
A wedge is jointed and subjected to forces. We need to find the force and tension by taking moments.
2. **Understanding the Problem:**
Taking moments means summing the moments (torques) about a point to find unknown forces. The moment of a force is given by the formula:
$$\text{Moment} = \text{Force} \times \text{Perpendicular distance}$$
3. **Set up the problem:**
Assume a wedge with a force $F$ applied at a distance $d$ from the pivot point. Let the tension in the joint be $T$ acting at distance $r$ from the pivot.
4. **Moment equation:**
Taking moments about the pivot,
$$F \times d = T \times r$$
5. **Solve for tension $T$:**
$$T = \frac{F \times d}{r}$$
6. **Interpretation:**
The tension $T$ depends on the applied force $F$ and the ratio of distances $d$ and $r$. This is a fundamental principle in levers and wedges.
**Final answer:**
$$T = \frac{F \times d}{r}$$
This formula allows you to calculate the tension in the jointed wedge when the force and distances are known.
Jointed Wedge Moment 526149
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