Resultant of Coplanar Force Systems
Find and share an example of a force system from your daily life
Explain the different types of forces on your force system
Find and share a real-world example where the actual forces on an object or structure can be replaced with an equivalent system of forces and explain how they are equivalent
Make sure to choose a real-world example
ANSWER
**Example of a Force System from Daily Life**
**Force System:** A person pushing a shopping cart
**Types of Forces:**
* **Applied force:** The force that the person is applying to the shopping cart to push it.
* **Frictional force:** The force that opposes the motion of the shopping cart due to friction between the wheels and the ground.
**Real-World Example Where the Actual Forces on an Object or Structure Can Be Replaced with an Equivalent System of Forces**
**Example:** A beam supported at both ends by columns
**Actual Forces:**
* **Weight of the beam:** The force of gravity acting on the beam.
* **Support reactions:** The forces exerted by the columns on the beam.
**Equivalent System of Forces:**
* **Resultant force:** A single force that has the same effect on the beam as the actual forces.
**How the Equivalent System of Forces is Equivalent**
The equivalent system of forces is equivalent to the actual forces because it produces the same net effect on the beam. The resultant force acts at the center of gravity of the beam and has a magnitude equal to the sum of the weights of the beam and the support reactions.
**How the Equivalent System of Forces Can Be Used**
The equivalent system of forces can be used to simplify the analysis of the beam. For example, instead of considering the weight of the beam and the support reactions separately, we can simply consider the resultant force. This can make the analysis much easier and more efficient.
**Conclusion**
Force systems are everywhere in our daily lives. By understanding how to analyze force systems, we can better understand how objects and structures behave. The concept of equivalent systems of forces can be used to simplify the analysis of force systems and make it easier to understand their effects.
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