A 7 kg mass is attached to two cables as shown. The mass is rotating around the pole at the rate of 5.2 rev/sec. A) Calculate the tensions in each of the cables. B) At what rotation rate would the tension, T2, in the lower cable go to zero? C) Describe what the system would do when T2 goes to zero. T₁ 1 m 1.6 m P 1 m T₂ SIDE VIEW TOP VIEW
A 7 kg mass is attached to two cables as shown. The mass is rotating around the pole at the rate of 5.2 rev/sec. A) Calculate the tensions in each of the cables. B) At what rotation rate would the tension, T2, in the lower cable go to zero? C) Describe what the system would do when T2 goes to zero. T₁ 1 m 1.6 m P 1 m T₂ SIDE VIEW TOP VIEW
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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Transcribed Image Text:**Problem Statement:**
A 7 kg mass is attached to two cables as shown. The mass is rotating around the pole at the rate of 5.2 rev/sec.
**Tasks:**
A) Calculate the tensions in each of the cables.
B) At what rotation rate would the tension, \( T_2 \), in the lower cable go to zero?
C) Describe what the system would do when \( T_2 \) goes to zero.
**Diagram Explanation:**
- **Side View:**
- The pole is vertical with two cables attached to the mass.
- The upper cable, denoted as \( T_1 \), is attached 1 meter above the mass.
- The lower cable, denoted as \( T_2 \), is attached directly at the mass.
- The total height from the base to the point at which the upper cable is attached is 1.6 meters.
- **Top View:**
- The mass rotates around the pole, and its rotation path is indicated as a circle with radius \( r \).
This setup requires analyzing the forces and calculating the tension in each cable as well as understanding the conditions for zero tension in the lower cable.
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