Mech HW- 3. Let S12 represent the system consisting of links 1 and 2 of the chain in problem 2 (i.e., treat links 1 and 2 as a single object). Rope Free-body diagram for system S System S In the space at right, draw and label a free-body diagram for system S12- a. ingle Sspstym b. Compare the forces that appear on your free-body diagram for system S, to those that appear on your diagrams for links 1 and 2 in problem 2. T=2 mg +T', = 2ng , then T= 4 my i. For each of the forces that appear on your diagram for system S12, list the corresponding force (or forces) on your diagrams for links 1 and 2.

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please help with b1,b2 and c

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### Physics Problem on Forces and Free-Body Diagrams

**3. Let S<sub>12</sub> represent the system consisting of links 1 and 2 of the chain in problem 2 (i.e., treat links 1 and 2 as a single object).**

**a. In the space at right, draw and label a free-body diagram for system S<sub>12</sub>.**

*Diagram:*

The free-body diagram for system S<sub>12</sub> includes:
- The combined system of links 1 and 2 is represented by a single object.
- Forces acting upward and downward are indicated.
- Upward force (T) labeled at the top.
- Downward forces indicated by labeled weights.

**b. Compare the forces that appear on your free-body diagram for system S<sub>12</sub> to those that appear on your diagrams for links 1 and 2 in problem 2.**

\[ T - 2mg + T' - 2mg + T" - 4mg \]

**i. For each of the forces that appear on your diagram for system S<sub>12</sub>, list the corresponding force (or forces) on your diagrams for links 1 and 2.**
- List of corresponding forces from individual diagrams.

**ii. Are there any forces on your diagrams for links 1 and 2 that you did not list? If so, what characteristic do these forces have in common that none of the others share?**
- Discussion of unlisted forces and their common characteristics.

**c. Let C represent the system consisting of the whole chain. Draw and label a free-body diagram for C. Make sure that your diagram is consistent with the reasoning you used in part b.**

*Diagram:*

The free-body diagram for system C includes:
- Representation of the entire chain as one system.
- Forces acting upward and downward along the chain.
- Clearly labeled forces consistent with those discussed in part b.

---

This educational content uses free-body diagrams to illustrate the concept of forces acting on interconnected systems. The diagrams provide a visual aid to understanding how forces distribute within linked objects, a key principle in physics mechanics.
Transcribed Image Text:Here is the transcribed text and detailed description of the diagrams for educational purposes based on the image provided: --- ### Physics Problem on Forces and Free-Body Diagrams **3. Let S<sub>12</sub> represent the system consisting of links 1 and 2 of the chain in problem 2 (i.e., treat links 1 and 2 as a single object).** **a. In the space at right, draw and label a free-body diagram for system S<sub>12</sub>.** *Diagram:* The free-body diagram for system S<sub>12</sub> includes: - The combined system of links 1 and 2 is represented by a single object. - Forces acting upward and downward are indicated. - Upward force (T) labeled at the top. - Downward forces indicated by labeled weights. **b. Compare the forces that appear on your free-body diagram for system S<sub>12</sub> to those that appear on your diagrams for links 1 and 2 in problem 2.** \[ T - 2mg + T' - 2mg + T" - 4mg \] **i. For each of the forces that appear on your diagram for system S<sub>12</sub>, list the corresponding force (or forces) on your diagrams for links 1 and 2.** - List of corresponding forces from individual diagrams. **ii. Are there any forces on your diagrams for links 1 and 2 that you did not list? If so, what characteristic do these forces have in common that none of the others share?** - Discussion of unlisted forces and their common characteristics. **c. Let C represent the system consisting of the whole chain. Draw and label a free-body diagram for C. Make sure that your diagram is consistent with the reasoning you used in part b.** *Diagram:* The free-body diagram for system C includes: - Representation of the entire chain as one system. - Forces acting upward and downward along the chain. - Clearly labeled forces consistent with those discussed in part b. --- This educational content uses free-body diagrams to illustrate the concept of forces acting on interconnected systems. The diagrams provide a visual aid to understanding how forces distribute within linked objects, a key principle in physics mechanics.
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