**Problem Statement:**A small blob of clay is attached to one end of a massless 20.4-cm-long rod, as shown in the figure. The rod’s other end is free to pivot without friction so the clay swings around in a vertical circle. What is the clay's speed at point $ B $ if it is released from rest at point $ A $ with $ \theta = 8^\circ $ and $ \phi = 7^\circ $?[Note: Be careful with units!]---**Diagram Explanation:**The diagram illustrates a vertical circle with the pivot point at the top. A massless rod of 20.4 cm is shown with a blob of clay attached to its end, moving in a circular path.- Point $ A $ is the starting position where the blob of clay is at an angle of $ \theta = 8^\circ $ from the vertical.- The initial speed at point $ A $ is $ v_0 = 0 $.- Point $ B $ is at an angle $ \phi = 7^\circ $ from the horizontal, on the other side of the circle.- The problem asks for the speed $ v $ of the clay at point $ B $.---**Equation to Solve:**The speed of the clay at point $ B $ (denoted as $ v $) can be calculated using principles of energy conservation, accounting for gravitational potential energy and kinetic energy changes between points $ A $ and $ B $.\[v = \, \underline{\hspace{2cm}} \, \text{m/s}\]

A small blob of clay is attached to one end of a massless 20.4-cm-lon rod, as in the figure. The rod's other end is free to pivot without friction so the clay swings around in a vertical circle. What is the clay speed at point B if it is released from rest at point A with 0 = 8° and = 7°? [Note: Be careful with units!] A %0 = 0 V= Jo AU B m/s

A small blob of clay is attached to one end of a massless 20.4-cm-lon rod, as in the figure. The rod's other end is free to pivot without friction so the clay swings around in a vertical circle. What is the clay speed at point B if it is released from rest at point A with 0 = 8° and = 7°? [Note: Be careful with units!] A %0 = 0 V= Jo AU B m/s

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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Question

**Problem Statement:**

A small blob of clay is attached to one end of a massless 20.4-cm-long rod, as shown in the figure. The rod’s other end is free to pivot without friction so the clay swings around in a vertical circle. What is the clay's speed at point $ B $ if it is released from rest at point $ A $ with $ \theta = 8^\circ $ and $ \phi = 7^\circ $?

[Note: Be careful with units!]

---

**Diagram Explanation:**

The diagram illustrates a vertical circle with the pivot point at the top. A massless rod of 20.4 cm is shown with a blob of clay attached to its end, moving in a circular path.

- Point $ A $ is the starting position where the blob of clay is at an angle of $ \theta = 8^\circ $ from the vertical.
- The initial speed at point $ A $ is $ v_0 = 0 $.
- Point $ B $ is at an angle $ \phi = 7^\circ $ from the horizontal, on the other side of the circle.
- The problem asks for the speed $ v $ of the clay at point $ B $.

---

**Equation to Solve:**

The speed of the clay at point $ B $ (denoted as $ v $) can be calculated using principles of energy conservation, accounting for gravitational potential energy and kinetic energy changes between points $ A $ and $ B $.

\[
v = \, \underline{\hspace{2cm}} \, \text{m/s}
\]

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