4-66. The Rollerball skate is an in-line tandem skate that uses two large spherical wheels on each skate, rather than traditional wafer-shape wheels. During skating the two forces acting on the ball of one skate consist of a 78-lb normal force and a 13-lb friction force. Determine the moment of both of these forces about the axle AB. 30° 1.25 in. 78 lb 13 15

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**4-66. Problem Statement:**

The Rollerball skate is an in-line tandem skate that uses two large spherical wheels on each skate, rather than traditional wafer-shaped wheels. During skating, the two forces acting on the ball of one skate consist of a 78-lb normal force and a 13-lb friction force. Determine the moment of both of these forces about the axle AB.

**Diagram Explanation:**

The diagram accompanying the problem shows a skate with spherical wheels positioned on a coordinate system. The skate is angled down towards the surface, with a large spherical wheel making contact with the ground. Two forces are acting on this wheel:

1. **Normal Force (78 lb):** Acting vertically upward from the point of contact on the wheel.
2. **Friction Force (13 lb):** Acting horizontally to the right from the point of contact on the wheel.

- The diagram indicates that the point of application of these forces is 1.25 inches from the axle AB along the x-axis.
- The angle formed by the line joining the force application point and the axle with the horizontal is given as 30 degrees. 
- Axles and the wheel are marked, showing the relation of the forces with the axis AB.

The task is to determine the moment of the given forces about the axle AB.
Transcribed Image Text:**4-66. Problem Statement:** The Rollerball skate is an in-line tandem skate that uses two large spherical wheels on each skate, rather than traditional wafer-shaped wheels. During skating, the two forces acting on the ball of one skate consist of a 78-lb normal force and a 13-lb friction force. Determine the moment of both of these forces about the axle AB. **Diagram Explanation:** The diagram accompanying the problem shows a skate with spherical wheels positioned on a coordinate system. The skate is angled down towards the surface, with a large spherical wheel making contact with the ground. Two forces are acting on this wheel: 1. **Normal Force (78 lb):** Acting vertically upward from the point of contact on the wheel. 2. **Friction Force (13 lb):** Acting horizontally to the right from the point of contact on the wheel. - The diagram indicates that the point of application of these forces is 1.25 inches from the axle AB along the x-axis. - The angle formed by the line joining the force application point and the axle with the horizontal is given as 30 degrees. - Axles and the wheel are marked, showing the relation of the forces with the axis AB. The task is to determine the moment of the given forces about the axle AB.
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