No-slip Frictionless The ball is a solid sphere of radius 4.0cm and mass 0.14kg. the half-pipe has one side with sufficient static friction that we can assume no sliding will occur there. The ball is released from rest at a height of 0.77m above the bottom of the half-pipe on the no-slip side. What is its angular speed when it is on the frictionless side of the track? How high does it rise on the frictionless side?

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Chapter1: Units, Trigonometry. And Vectors
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**Transcription:**

6) Set up and solve for the second question. Find the maximum height reached by the ball on the frictionless side.

7) Comment briefly on whether your result is reasonably believable. If it is—what sort of result could be easily identified as not believable for this problem?
Transcribed Image Text:**Transcription:** 6) Set up and solve for the second question. Find the maximum height reached by the ball on the frictionless side. 7) Comment briefly on whether your result is reasonably believable. If it is—what sort of result could be easily identified as not believable for this problem?
The image depicts a sectional diagram of a half-pipe. The half-pipe is divided into two parts: one labeled "No-slip" and the other "Frictionless." A series of positions for a ball are marked along the interior curve, indicating its path as it moves from the no-slip side to the frictionless side.

**Diagram Explanation:**
- The half-pipe is shaped as a U, with the left side labeled "No-slip" and the right side labeled "Frictionless."
- A solid sphere is shown within the track, illustrating its position as it transitions from the no-slip to the frictionless side.

**Text Description:**
The ball is a solid sphere with a radius of 4.0 cm and a mass of 0.14 kg. The half-pipe has one side with sufficient static friction, ensuring no sliding occurs on that side. The ball is released from rest at a height of 0.77 m above the bottom of the half-pipe on the no-slip side. The questions posed are:
1. What is its angular speed when it is on the frictionless side of the track?
2. How high does it rise on the frictionless side?
Transcribed Image Text:The image depicts a sectional diagram of a half-pipe. The half-pipe is divided into two parts: one labeled "No-slip" and the other "Frictionless." A series of positions for a ball are marked along the interior curve, indicating its path as it moves from the no-slip side to the frictionless side. **Diagram Explanation:** - The half-pipe is shaped as a U, with the left side labeled "No-slip" and the right side labeled "Frictionless." - A solid sphere is shown within the track, illustrating its position as it transitions from the no-slip to the frictionless side. **Text Description:** The ball is a solid sphere with a radius of 4.0 cm and a mass of 0.14 kg. The half-pipe has one side with sufficient static friction, ensuring no sliding occurs on that side. The ball is released from rest at a height of 0.77 m above the bottom of the half-pipe on the no-slip side. The questions posed are: 1. What is its angular speed when it is on the frictionless side of the track? 2. How high does it rise on the frictionless side?
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