**Problem 8–75**The shaft has a square-threaded screw with a lead of 9 mm and a mean radius of 15 mm. If it is in contact with a plate gear having a mean radius of 20 mm, determine the resisting torque \( M \) on the gear which can be overcome if a torque of 7 N·m is applied to the shaft. The coefficient of static friction between the gear and the screw is \( \mu_s = 0.2 \). Neglect friction at the bearings located at \( A \) and \( B \).---**Diagram Explanation:**The diagram illustrates a mechanical setup with the following components: - A square-threaded screw is shown horizontally with a mean radius of 15 mm.- A plate gear with a mean radius of 20 mm is in contact with the screw.- The screw is labeled at two points, \( A \) and \( B \).- An applied torque of 7 N·m is shown at the left end of the screw, indicating the direction of rotation.- The resisting torque \( M \) is represented on the gear, indicating the direction that opposes the screw's movement.The system is used to analyze the interaction between the screw's torque and the frictional forces at play, neglecting the friction at the bearings.

To determine:The resisiting torque M.The resisiting torque M is

8-75. The shaft has a square-threaded screw with a lead of 9 mm and a mean radius of 15 mm. If it is in contact with a plate gear having a mean radius of 20 mm, determine the resisting torque M on the gear which can be overcome if a torque of 7 N·m is applied to the shaft. The coefficient of static friction between the gear and the screw is µ = 0.2. Neglect friction at the bearings located at A and B. Problem 8-75 7N-m M 20 mm THA B 15 mm

8-75. The shaft has a square-threaded screw with a lead of 9 mm and a mean radius of 15 mm. If it is in contact with a plate gear having a mean radius of 20 mm, determine the resisting torque M on the gear which can be overcome if a torque of 7 N·m is applied to the shaft. The coefficient of static friction between the gear and the screw is µ = 0.2. Neglect friction at the bearings located at A and B. Problem 8-75 7N-m M 20 mm THA B 15 mm

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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Concept explainers

Design of Shafts and Shaft Components

The shaft is basically defined as the machine element that rotates, is in circular cross-section, it is majorly used to transfer the power from one part of the system to another, or from a power generating machine to a power absorbing machine. The shaft is supported on bearings and is rotated with the help of a set of gears or pulleys that are used for the power transmission. Bending moment, torsion, and an axial force act upon the shaft. Designing of shaft primarily involves determining stresses at a critical point in the shaft that is arising due to loading.

Question

**Problem 8–75**

The shaft has a square-threaded screw with a lead of 9 mm and a mean radius of 15 mm. If it is in contact with a plate gear having a mean radius of 20 mm, determine the resisting torque \( M \) on the gear which can be overcome if a torque of 7 N·m is applied to the shaft. The coefficient of static friction between the gear and the screw is \( \mu_s = 0.2 \). Neglect friction at the bearings located at \( A \) and \( B \).

---

**Diagram Explanation:**

The diagram illustrates a mechanical setup with the following components:

- A square-threaded screw is shown horizontally with a mean radius of 15 mm.
- A plate gear with a mean radius of 20 mm is in contact with the screw.
- The screw is labeled at two points, \( A \) and \( B \).
- An applied torque of 7 N·m is shown at the left end of the screw, indicating the direction of rotation.
- The resisting torque \( M \) is represented on the gear, indicating the direction that opposes the screw's movement.

The system is used to analyze the interaction between the screw's torque and the frictional forces at play, neglecting the friction at the bearings.

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