https://file.aiquickdraw.com/mathbot/file/17272447010892gbm4jau.jpg

Here is the diagram representing the uniform rod hinged at point \( A \) with the two different force scenarios: one with a force perpendicular to the rod and another with a horizontal force. Both situations balance the weight of the rod, ensuring equilibrium.

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### Follow-up Questions:
1. How does torque depend on the angle of force application?
2. What happens if the force at \( B \) acts at an arbitrary angle?
3. How does increasing the weight of the rod affect the required force?
4. What is the effect of increasing the length of the rod on the required force?
5. Can this setup be applied to real-world mechanical systems like levers?

### Tip:
When solving equilibrium problems, always ensure to calculate torques about the pivot point where forces are applied, as it simplifies the equations.

A uniform rod AB of weight 20N is hinged to a fixed point at A. A force acts at B holding the rod in equilibrium at 30 degrees to the vertical through A. Find the magnitude of this force if: a) It is perpendicular to AB, b) It is horizontal.

This problem involves finding the force required to hold a uniform rod in equilibrium at 30° to the vertical. The force acts at the rod's end, either perpendicular or horizontal, and calculations involve torque and equilibrium concepts.

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