The problem describes a scenario involving a 10-lb block resting on a surface. The coefficient of kinetic friction (μ_k) is 0.5. The block is subjected to two forces: a radial force of 2 lb and a horizontal force of 7 lb. The horizontal force is always directed at 30° from the tangent to the path.The block is initially moving along a circular path with a speed of \( V_1 = 2 \, \text{ft/s} \). The task is to determine the time required before the tension in cord AB reaches 20 lb. The size of the block is to be neglected for the calculation.### Diagram Explanation:The diagram provides a visual representation of the setup: - A circular path is shown, with the block depicted as a small mass on this path.- The radial force of 2 lb is directed towards the center of the circle.- The horizontal force of 7 lb is illustrated at a 30° angle from the tangent to the path.- Cord AB, the point of interest, is drawn with a label indicating an initial position 4 ft from the center.### Options for Time Calculation:1. 4.31 s2. 3.52 s3. 3.41 s4. 5.23 s

Given data :- Weight of block = 10 lb Coefficient of kinematic friction = 0.5 Radial force = 2 lb…

The 10-lb block rests on a surface for which MUK - 0.5, it is acted upon by a radial force of 2 lb and a horizontal force of 7 lb, always directed at 30° from the tangent to the path as shown. If the block is initially moving in a circular path with a speed V₁ - 2 ft/s at the instant the forces are applied, determine the time required before the tension in cord AB becomes 20 lb. Neglect the size of the block for the calculation. O 4.31 s O 3.52 s O 3.41 s O 5.23 s 7th 40 21th

The 10-lb block rests on a surface for which MUK - 0.5, it is acted upon by a radial force of 2 lb and a horizontal force of 7 lb, always directed at 30° from the tangent to the path as shown. If the block is initially moving in a circular path with a speed V₁ - 2 ft/s at the instant the forces are applied, determine the time required before the tension in cord AB becomes 20 lb. Neglect the size of the block for the calculation. O 4.31 s O 3.52 s O 3.41 s O 5.23 s 7th 40 21th

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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Question

The problem describes a scenario involving a 10-lb block resting on a surface. The coefficient of kinetic friction (μ_k) is 0.5. The block is subjected to two forces: a radial force of 2 lb and a horizontal force of 7 lb. The horizontal force is always directed at 30° from the tangent to the path.

The block is initially moving along a circular path with a speed of \( V_1 = 2 \, \text{ft/s} \). The task is to determine the time required before the tension in cord AB reaches 20 lb. The size of the block is to be neglected for the calculation.

### Diagram Explanation:
The diagram provides a visual representation of the setup:

- A circular path is shown, with the block depicted as a small mass on this path.
- The radial force of 2 lb is directed towards the center of the circle.
- The horizontal force of 7 lb is illustrated at a 30° angle from the tangent to the path.
- Cord AB, the point of interest, is drawn with a label indicating an initial position 4 ft from the center.

### Options for Time Calculation:
1. 4.31 s
2. 3.52 s
3. 3.41 s
4. 5.23 s

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