To pass inspection, steel balls designed for use in ball bearings must clear the fixed bar A at the top of their rebound when dropped from rest through the vertical distance H = 36 in. onto the heavy inclined steel plate. If balls which have a coefficient of restitution of less than 0.7 with the rebound plate are to be rejected, determine the position of the bar by specifying h and s. Neglect any friction during impact. ### Problem 3/202**Objective:**In this problem, steel balls designed for use in ball bearings must clear a fixed bar (point A) at the top of their rebound when dropped from rest. The vertical drop distance is \( H = 36 \) inches onto a heavy inclined steel plate. Balls with a coefficient of restitution less than 0.7 with the rebound plate are to be rejected. We need to determine the position of the bar by specifying \( h \) and \( s \). Friction during impact is neglected.**Diagram Explanation:**- **Inclined Plane:** The steel plate is inclined at an angle \( \theta = 10^\circ \).- **Drop and Rebound Path:** The ball falls vertically over distance \( H \), impacts the plate, and follows a parabolic trajectory.- **Variables:** - \( H \) is the initial vertical drop height (given as 36 inches). - \( h \) is the vertical height of the bar from the impact point. - \( s \) is the horizontal distance from the impact point to point A. - \( \theta \) is the incline angle. **Answer Calculations:**- The required values calculated are \( h = 1.263 \) feet and \( s = 1.132 \) feet.

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Answered: To pass inspection, steel balls…

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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To pass inspection, steel balls designed for use in ball bearings must clear the fixed bar A at the top of their rebound when dropped from rest through the vertical distance H = 36 in. onto the heavy inclined steel plate. If balls which have a coefficient of restitution of less than 0.7 with the rebound plate are to be rejected, determine the position of the bar by specifying h and s. Neglect any friction during impact.

### Problem 3/202

**Objective:**
In this problem, steel balls designed for use in ball bearings must clear a fixed bar (point A) at the top of their rebound when dropped from rest. The vertical drop distance is \( H = 36 \) inches onto a heavy inclined steel plate. Balls with a coefficient of restitution less than 0.7 with the rebound plate are to be rejected. We need to determine the position of the bar by specifying \( h \) and \( s \). Friction during impact is neglected.

**Diagram Explanation:**
- **Inclined Plane:** The steel plate is inclined at an angle \( \theta = 10^\circ \).
- **Drop and Rebound Path:** The ball falls vertically over distance \( H \), impacts the plate, and follows a parabolic trajectory.
- **Variables:**
- \( H \) is the initial vertical drop height (given as 36 inches).
- \( h \) is the vertical height of the bar from the impact point.
- \( s \) is the horizontal distance from the impact point to point A.
- \( \theta \) is the incline angle.

**Answer Calculations:**
- The required values calculated are \( h = 1.263 \) feet and \( s = 1.132 \) feet.

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