Pulley A has a weight of 30 lb and a centroidal radius of gyration kg = 0.40 ft. (Figure 1) Figure 08 04 20.2 ft 1 of 1 > Part A Determine the speed of the 12-lb crate C at the instant s = 10 ft. Initially, the crate is released from rest when s=5 ft. The pulley at P "rolls" downward on the cord without slipping. For the calculation, neglect the mass of this pulley and the cord as it unwinds from the inner and outer hubs of pulley A. Express your answer to three significant figures and include the appropriate units. VC 8.51 Submit + A ft S Previous Answers Request Answer ? * Incorrect; Try Again; 5 attempts remaining < Return to Assignment Provide Feedback

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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**Physics Problem: Pulley and Crate System**

**Pulley Details:**
- Pulley \( A \) has a weight of 30 lb.
- Centroidal radius of gyration \( k_B = 0.40 \) ft.
- Refer to Figure 1 for a visual representation.

**Problem Statement: Part A**
- **Objective:** Determine the speed of the 12-lb crate \( C \) at the instant \( s = 10 \) ft.
- **Initial Conditions:** The crate is released from rest when \( s = 5 \) ft.
- The pulley at \( P \) rolls downward on the cord without slipping.
- For calculations, neglect the mass of the pulley and the cord as it unwinds from the inner and outer hubs of pulley \( A \).

- **Required:** Express the answer to three significant figures and include appropriate units.

**User Input:**
- Attempted solution: \( v_C = 8.51 \) ft/s
- Result: Incorrect, with 5 attempts remaining.

**Graphical Diagram Description:**
- The figure displays a pulley system.
- Pulley \( A \) shows dimensions:
  - Internal radius: 0.4 ft
  - External radius: 0.8 ft
- Crate \( C \) is suspended by a cord attached to the pulley, positioned 0.2 ft from point \( P \).

**Instructions:**
- Attempt calculations again and submit correct results in specified units.
- Return to the assignment page or provide feedback as needed.
Transcribed Image Text:**Physics Problem: Pulley and Crate System** **Pulley Details:** - Pulley \( A \) has a weight of 30 lb. - Centroidal radius of gyration \( k_B = 0.40 \) ft. - Refer to Figure 1 for a visual representation. **Problem Statement: Part A** - **Objective:** Determine the speed of the 12-lb crate \( C \) at the instant \( s = 10 \) ft. - **Initial Conditions:** The crate is released from rest when \( s = 5 \) ft. - The pulley at \( P \) rolls downward on the cord without slipping. - For calculations, neglect the mass of the pulley and the cord as it unwinds from the inner and outer hubs of pulley \( A \). - **Required:** Express the answer to three significant figures and include appropriate units. **User Input:** - Attempted solution: \( v_C = 8.51 \) ft/s - Result: Incorrect, with 5 attempts remaining. **Graphical Diagram Description:** - The figure displays a pulley system. - Pulley \( A \) shows dimensions: - Internal radius: 0.4 ft - External radius: 0.8 ft - Crate \( C \) is suspended by a cord attached to the pulley, positioned 0.2 ft from point \( P \). **Instructions:** - Attempt calculations again and submit correct results in specified units. - Return to the assignment page or provide feedback as needed.
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