A chain that has a mass of 0.5 kg/m is draped over the sprocket which has a mass of 2 kg and a radius of gyration of ko=50 mm. (Figure 1) Figure 100mm 1 of 1 > ▾ Part A If the 5 kg block A is released from rest from the position s=1 m, determine the angular velocity of the sprocket at the instant s=2 m. For the calculation neglect the portion of the chain that wraps over the sprocket. Express your answer to three significant figures and include the appropriate units. Value Submit Provide Feedback + → Request Answer E ? Units Next >

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Text:**

A chain that has a mass of \(0.5 \, \text{kg/m}\) is draped over the sprocket, which has a mass of \(2 \, \text{kg}\) and a radius of gyration of \(k_O = 50 \, \text{mm}\). ([Figure 1](#))

**Part A:**

If the \(5 \, \text{kg}\) block \(A\) is released from rest from the position \(s = 1 \, \text{m}\), determine the angular velocity of the sprocket at the instant \(s = 2 \, \text{m}\). For the calculation, neglect the portion of the chain that wraps over the sprocket.

Express your answer to three significant figures and include the appropriate units.

\[
\omega = \boxed{\text{Value}} \quad \boxed{\text{Units}}
\]

[Submit](#) [Request Answer](#)

[Provide Feedback](#)

---

**Explanation of Diagram (Figure):**

The diagram shows a sprocket with a radius of \(100 \, \text{mm}\) over which a chain is draped. A block labeled \(A\), weighing \(5 \, \text{kg}\), is suspended from the chain. The initial position of block \(A\) is labeled as \(s = 1 \, \text{m}\). The diagram is a side view, illustrating the setup for the described problem.
Transcribed Image Text:**Text:** A chain that has a mass of \(0.5 \, \text{kg/m}\) is draped over the sprocket, which has a mass of \(2 \, \text{kg}\) and a radius of gyration of \(k_O = 50 \, \text{mm}\). ([Figure 1](#)) **Part A:** If the \(5 \, \text{kg}\) block \(A\) is released from rest from the position \(s = 1 \, \text{m}\), determine the angular velocity of the sprocket at the instant \(s = 2 \, \text{m}\). For the calculation, neglect the portion of the chain that wraps over the sprocket. Express your answer to three significant figures and include the appropriate units. \[ \omega = \boxed{\text{Value}} \quad \boxed{\text{Units}} \] [Submit](#) [Request Answer](#) [Provide Feedback](#) --- **Explanation of Diagram (Figure):** The diagram shows a sprocket with a radius of \(100 \, \text{mm}\) over which a chain is draped. A block labeled \(A\), weighing \(5 \, \text{kg}\), is suspended from the chain. The initial position of block \(A\) is labeled as \(s = 1 \, \text{m}\). The diagram is a side view, illustrating the setup for the described problem.
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