The tractor is used to lift the 50-kg load B with the 27-m long rope, boom, and pulley system. The height h=4-m, SA=15m and SB=1.3m. SB B hm -SA If the tractor travels to the right with an acceleration of 3 m.s². The maximum of tension of th allowable tension force in the rope is 3-kN. Determine the maximum of the allowable velocity of the tractor.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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For the problem related to Fundamental 6, sketches of the system are required, showing:

- The respective velocity and acceleration and the frame of reference considered.
- The forces acting on the system, or in other words, a free-body diagram (FBD) is mandatory. The absence of these will automatically make the problem false.

The tractor is used to lift the 50-kg load B with the 27-m long rope, boom, and pulley system. The height \( h = 4 \text{ m} \), \( s_A = 15 \text{ m} \), and \( s_B = 1.3 \text{ m} \).

In the diagram:

- A tractor is depicted moving to the right. 
- A rope extends from the load (denoted as B), up and over a pulley at the top of a boom, and is attached to the tractor.
- The load B is suspended above the ground.
- Dimensions \( s_B = 1.3 \text{ m} \) and \( s_A = 15 \text{ m} \) are shown, along with the height \( h = 4 \text{ m} \).

If the tractor travels to the right with an acceleration of \( 3 \text{ m/s}^2 \), the maximum allowable tension force in the rope is \( 3 \text{ kN} \).

Determine the maximum allowable velocity of the tractor.
Transcribed Image Text:For the problem related to Fundamental 6, sketches of the system are required, showing: - The respective velocity and acceleration and the frame of reference considered. - The forces acting on the system, or in other words, a free-body diagram (FBD) is mandatory. The absence of these will automatically make the problem false. The tractor is used to lift the 50-kg load B with the 27-m long rope, boom, and pulley system. The height \( h = 4 \text{ m} \), \( s_A = 15 \text{ m} \), and \( s_B = 1.3 \text{ m} \). In the diagram: - A tractor is depicted moving to the right. - A rope extends from the load (denoted as B), up and over a pulley at the top of a boom, and is attached to the tractor. - The load B is suspended above the ground. - Dimensions \( s_B = 1.3 \text{ m} \) and \( s_A = 15 \text{ m} \) are shown, along with the height \( h = 4 \text{ m} \). If the tractor travels to the right with an acceleration of \( 3 \text{ m/s}^2 \), the maximum allowable tension force in the rope is \( 3 \text{ kN} \). Determine the maximum allowable velocity of the tractor.
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