**Problem 3/192**A particle is launched with a horizontal velocity \( v_0 = 0.55 \, \text{m/s} \) from the 30° position shown and then slides without friction along the funnel-like surface. Determine the angle \( \theta \) at which its velocity vector makes with the horizontal as the particle passes level O-O. The value of \( r \) is 0.9 m.**Diagram Explanation:**- The diagram on the left shows a cross-sectional view of a funnel-like structure with a particle of mass \( m \). The particle is initially positioned at a 30° angle above the horizontal axis.- The funnel has a radius of \( 0.15r \) from its center to the edge.- The particle slides down this surface without friction.- To the right, there's a top-down view of the funnel with the particle depicted at the center with its initial velocity \( v_0 \).**Solution:** \( \theta = 52.9^\circ \)

Answered: Image /qna-images/answer/a1809a70-b88d-4864-8698-df01624aa757.jpg

3/192 A particle is launched with a horizontal velocity vo = 0.55 m/s from the 30° position shown and then slides without friction along the funnel-like surface. Determine the angle which its velocity vector makes with the horizontal as the particle passes level O-O. The value of r is 0.9 m. 0 = 52.9° m 30° NO 0.15r- PROBLEM 3/192 om

3/192 A particle is launched with a horizontal velocity vo = 0.55 m/s from the 30° position shown and then slides without friction along the funnel-like surface. Determine the angle which its velocity vector makes with the horizontal as the particle passes level O-O. The value of r is 0.9 m. 0 = 52.9° m 30° NO 0.15r- PROBLEM 3/192 om

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Conservation of Energy

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**Problem 3/192**

A particle is launched with a horizontal velocity \( v_0 = 0.55 \, \text{m/s} \) from the 30° position shown and then slides without friction along the funnel-like surface. Determine the angle \( \theta \) at which its velocity vector makes with the horizontal as the particle passes level O-O. The value of \( r \) is 0.9 m.

**Diagram Explanation:**

- The diagram on the left shows a cross-sectional view of a funnel-like structure with a particle of mass \( m \). The particle is initially positioned at a 30° angle above the horizontal axis.
- The funnel has a radius of \( 0.15r \) from its center to the edge.
- The particle slides down this surface without friction.

- To the right, there's a top-down view of the funnel with the particle depicted at the center with its initial velocity \( v_0 \).

**Solution:** \( \theta = 52.9^\circ \)

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