A solid sphere of radius 9 cm is allowed to rotate freely about an axis. The sphere is given a sharp blow so that its center of mass starts from the Axis position shown in the following figure with speed 15 cm/s. What is the maximum angle that the diameter makes with the vertical? Round your answer one decimal place. Force V = 15 cm/s Hint 0 = ? degrees

College Physics
11th Edition
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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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**Problem Description:**

A solid sphere of radius 9 cm is allowed to rotate freely about an axis. The sphere is given a sharp blow so that its center of mass starts from the position shown in the following figure with a speed of 15 cm/s. What is the maximum angle that the diameter makes with the vertical? Round your answer to one decimal place.

**Diagram Explanation:**

- The diagram consists of two parts:
  - On the left, a sphere is depicted with a horizontal force applied (indicated by a red arrow) causing the sphere to move to the right with a given velocity \( v = 15 \, \text{cm/s} \). The axis of rotation is marked at the top of the sphere.
  - On the right, the sphere is shown tilted at an angle \( \theta \) from the vertical, illustrating the question asking for the maximum angle \( \theta = ? \).

**Interactive Elements:**

- A "Hint" button is provided for additional guidance.
- A text box is present for entering the calculated angle \( \theta \) in degrees.
- There's an option to contact the instructor for question help via a message.
- A "Submit Question" button allows the user to input their answer.

Please ensure that your calculations are rounded to one decimal place as specified.
Transcribed Image Text:**Problem Description:** A solid sphere of radius 9 cm is allowed to rotate freely about an axis. The sphere is given a sharp blow so that its center of mass starts from the position shown in the following figure with a speed of 15 cm/s. What is the maximum angle that the diameter makes with the vertical? Round your answer to one decimal place. **Diagram Explanation:** - The diagram consists of two parts: - On the left, a sphere is depicted with a horizontal force applied (indicated by a red arrow) causing the sphere to move to the right with a given velocity \( v = 15 \, \text{cm/s} \). The axis of rotation is marked at the top of the sphere. - On the right, the sphere is shown tilted at an angle \( \theta \) from the vertical, illustrating the question asking for the maximum angle \( \theta = ? \). **Interactive Elements:** - A "Hint" button is provided for additional guidance. - A text box is present for entering the calculated angle \( \theta \) in degrees. - There's an option to contact the instructor for question help via a message. - A "Submit Question" button allows the user to input their answer. Please ensure that your calculations are rounded to one decimal place as specified.
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