Describe what could be happening in each free body diagram. Then, label each of the vectors in the free body diagrams shown below using the appropriate labels (2 names). 1. 3. 2. 2. 3.
Rigid Body
A rigid body is an object which does not change its shape or undergo any significant deformation due to an external force or movement. Mathematically speaking, the distance between any two points inside the body doesn't change in any situation.
Rigid Body Dynamics
Rigid bodies are defined as inelastic shapes with negligible deformation, giving them an unchanging center of mass. It is also generally assumed that the mass of a rigid body is uniformly distributed. This property of rigid bodies comes in handy when we deal with concepts like momentum, angular momentum, force and torque. The study of these properties – viz., force, torque, momentum, and angular momentum – of a rigid body, is collectively known as rigid body dynamics (RBD).
![**Understanding Free Body Diagrams**
**1. Describe what could be happening in each free body diagram. Then, label each of the vectors in the free body diagrams shown below using the appropriate labels (2 names).**
- **Diagram 1:**
- [Description: A square with four vectors; one arrow pointing left, one pointing right, one pointing up, and one pointing down.]
- **Possible Scenario:** An object experiencing an unbalanced horizontal force and balanced vertical forces.
- **Labels:** Left vector: 25 N, Right vector: 40 N, Up and down vectors: equal and opposite.
- **Diagram 2:**
- [Description: A square with one vector pointing downwards.]
- **Possible Scenario:** An object falling under the influence of gravity only.
- **Labels:** Downward vector: gravitational force.
- **Diagram 3:**
- [Description: A square with one vector pointing upwards.]
- **Possible Scenario:** An object being lifted upward by an unbalanced force.
- **Labels:** Upward vector: applied force.
**Refer to the Free Body Diagrams shown above to answer the following questions.**
**2. In FBD 1, the vector pointed left represents a force of 25 N, the vector pointing right represents a force of 40 N, and the up and down vectors are equal and opposite to one another. What is the net force acting on this object?**
- **Net Force:** 15 N to the right.
**3. In what direction will the object in FBD 1 accelerate?**
- **Acceleration Direction:** To the right.
**4. Is there any acceleration in diagram 2? If so, in what direction?**
- **Acceleration:** Yes, downward.
**5. FBD 2 represents a hot air balloon which is lifted by a force of 700 N. If the basket and its passengers have a combined weight of 350 N, what is the net force acting on the balloon?**
- **Net Force on Balloon:** 350 N upward.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffbd176ac-0fbd-40dc-8e72-dfbdd8fa82a4%2F143a2acf-c81e-45c8-80e1-80c976bb04fe%2F7ga4u5y_processed.jpeg&w=3840&q=75)

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