1. Based on the three-element Hill model, what is the tension in the muscle at t = 5.2C if three twitches from time of 0 to 2C, 3C to 4C, and 5C to 5.5C are generated in the muscle as shown below? 2M, fo : To t 0 2C 3C IC 5C 5.50
Question:
1. Based on the three-element Hill model, what is the tension in the muscle at t = 5.2C if three
twitches from time of 0 to 2C, 3C to 4C, and 5C to 5.5C are generated in the muscle as shown
below?
2M, fo :
To
t
0 2C 3C IC 5C 5.50
This is AI generated Response.
Asked by: Veera manikanta
Created at: 2025-09-29 01:52:27
Asked by: Veera manikanta
Created at: 2025-09-29 01:52:27
Final Answer:
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## Problem Analysis
Given:
- **Three twitches** occur in the time intervals: –2C, 3C–4C, 5C–5.5C.
- **Tension levels:**
- First twitch: \( T_ \) (from to 2C)
- Second twitch: \( 2T_ \) (from 3C to 4C)
- Third twitch: \( 2T_ \) (from 5C to 5.5C)
- **Question:** What is the tension at \( t = 5.2C \)?
---
## Step-by-Step Solution
### 1. **Identify Which Twitches Are Active at \( t = 5.2C \):**
- **First twitch:** Active from to 2C. At 5.2C, this is no longer active.
- **Second twitch:** Active from 3C to 4C. At 5.2C, this is also no longer active.
- **Third twitch:** Active from 5C to 5.5C. At 5.2C, this twitch is active.
### 2. **Read the Tension Value for the Third Twitch:**
From the graph:
- The tension during the interval 5C to 5.5C is \( 2T_ \).
### 3. **Conclusion**
**At \( t = 5.2C \), the tension in the muscle is:**
\[
\boxed{2T_}
\]
---
### **Summary Table**
| Time Interval | Tension Present | At \( t = 5.2C \)? |
|---------------|-------------------------|--------------------|
| to 2C | \( T_ \) | No |
| 3C to 4C | \( 2T_ \) | No |
| 5C to 5.5C | \( 2T_ \) | **Yes** |
---
## **Final Answer**
**The tension in the muscle at \( t = 5.2C \) is \( 2T_ \).**
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