For the problem related to Fundamental.4, a sketch of the considered system showing and naming (or numbering) every part of the system considered, the respective velocity and acceleration of each, and the frame of reference considered is mandatory. Its absence will automatically make the problem false. Gear A on the drive shaft of the outboard motor has a radius rA=3 in. and the meshed pinion gear B on the propeller shaft has a radius rB=64 in. The point P is located on the propeller's tip at a distance 7 in. from the neutral axis of the propeller's shaft. لدي B

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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For the problem related to Fundamental 4, a sketch of the considered system showing and naming (or numbering) every part of the system considered, the respective velocity and acceleration of each, and the frame of reference considered is mandatory. Its absence will automatically make the problem false.

Gear A on the drive shaft of the outboard motor has a radius \( r_A = 3 \, \text{in.} \) and the meshed pinion gear B on the propeller shaft has a radius \( r_B = 2.64 \, \text{in.} \)

The point P is located on the propeller's tip at a distance 7 in. from the neutral axis of the propeller's shaft.

**Diagram Explanation:**
- The diagram shows a gear system in an outboard motor with two labeled gears, A and B.
- Gear A is connected to the drive shaft and has a larger radius.
- Gear B, which is meshed with gear A, is connected to the propeller shaft.
- Point P is marked at the tip of the propeller.

At the beginning of the propulsion, the drive shaft rotates with an angular acceleration 
\[ \alpha = A \cdot t^{2.2} \, \text{rad.s}^{-2} \] 
where \( t \) is in seconds.

What must be the value of \( A \) to have, while starting from rest, \( v_P = 21 \, \text{in.s}^{-1} \) in 5 seconds?
Transcribed Image Text:For the problem related to Fundamental 4, a sketch of the considered system showing and naming (or numbering) every part of the system considered, the respective velocity and acceleration of each, and the frame of reference considered is mandatory. Its absence will automatically make the problem false. Gear A on the drive shaft of the outboard motor has a radius \( r_A = 3 \, \text{in.} \) and the meshed pinion gear B on the propeller shaft has a radius \( r_B = 2.64 \, \text{in.} \) The point P is located on the propeller's tip at a distance 7 in. from the neutral axis of the propeller's shaft. **Diagram Explanation:** - The diagram shows a gear system in an outboard motor with two labeled gears, A and B. - Gear A is connected to the drive shaft and has a larger radius. - Gear B, which is meshed with gear A, is connected to the propeller shaft. - Point P is marked at the tip of the propeller. At the beginning of the propulsion, the drive shaft rotates with an angular acceleration \[ \alpha = A \cdot t^{2.2} \, \text{rad.s}^{-2} \] where \( t \) is in seconds. What must be the value of \( A \) to have, while starting from rest, \( v_P = 21 \, \text{in.s}^{-1} \) in 5 seconds?
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