38 **Problem Statement:**The spool has a mass of 50 kg and a radius of gyration of \( k_O = 0.280 \, \text{m} \). If the 20-kg block \( A \) is released from rest, determine the distance the block must fall in order for the spool to have an angular velocity \( \omega = 5 \, \text{rad/s} \). Also, what is the tension in the cord while the block is in motion? Neglect the mass of the cord.**Diagram Explanation:**The image illustrates a spool with a rope wound around it. The following key components and measurements are noted in the diagram:1. **Spool:** - Total mass: \( 50 \, \text{kg} \) - Radius of Gyration: \( k_O = 0.280 \, \text{m} \) - Two radii labeled: - Radius from the center \( O \) to the point where the rope reaches the spool: \( 0.3 \, \text{m} \) - Radius from the center \( O \) to the point where the block is initially hanging from the spool: \( 0.2 \, \text{m} \)2. **Block \( A \):** - Mass: \( 20 \, \text{kg} \) - The block is hanging from the cord wound around the spool. - The position of block \( A \) indicates it will descend vertically when released.To solve this problem, consider the following physics and mechanics principles to relate angular velocity, distance fallen by the block, and tension in the cord:1. **Energy Conservation Principles:** - Potential energy of block \( A \) converting into rotational kinetic energy of the spool. 2. **Rotational Kinematics and Dynamics** - Angular velocity and angular acceleration. - Tension in the cord generating torque on the spool.### Required Steps for Solution:1. **Find the Distance the Block Must Fall:** - Use conservation of energy: - Initial potential energy of the block. - Final rotational kinetic energy of the spool. 2. **Determine the Tension in the Cord:** - Use Newton's second law for rotational motion: - Torque generated by the tension in the cord. - Relation between linear and angular quantities to

Given Mass, M = 50 kg m = 20kg Angular velocity = 5 rad/s Find…

18-38. The spool has a mass of 50 kg and a radius of gyration of ko = 0.280 m. If the 20-kg block A is released from rest, determine the distance the block must fall in order for the spool to have an angular velocity w = 5 rad/s. Also, what is the tension in the cord while the block is in motion? Neglect the mass of the cord.

18-38. The spool has a mass of 50 kg and a radius of gyration of ko = 0.280 m. If the 20-kg block A is released from rest, determine the distance the block must fall in order for the spool to have an angular velocity w = 5 rad/s. Also, what is the tension in the cord while the block is in motion? Neglect the mass of the cord.

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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The next several problems utilize the same data given in this problem statement. I suggest you glance over the next few problems, so that you have an idea of the items you will need to calculate. You may determine that you calculate the items in an order other than that given on the test (doing this is OK!). BUT, be sure you look at EACH problem and provide the answer to that particular problem. Consider the bracket shown in Fig-3. If: • F1 = 10 lb @ -90° • a = 2 ft • b= 4 ft • C = 1 ft then, what is the magnitude of the vertical reaction at point 'A? O O lb O 10 lb O 14.2 Ib O 20 lb O 26.4 Ib O 30 lb O 32.3 lb O 40 lb O 45 lb O 50 lb O 54.1 Ib O 60 lb O 67.1 Ib O 70 Ib O 72.7 Ib
This is a Flange.What does The number 3 Represent
31
The system shown is in static equilibrium and motionless. Consider the 10 kN force as "the load" on the system. • The coefficient of static friction at a rope/shaft interface is 0.25. • The coefficient of kinetic friction at a rope/shaft interface is 0.16. NOTE: • Submitted responses shall be to 4 significant figures. Do NOT use scientific notation. Find: 8. The angle of wrap around the upper-left shaft is 9. The angle of wrap around the lower-right shaft is 10. The maximum magnitude of the force P that will not initiate upward motion of the load is rad. _kN. 11. The minimum magnitude of the force P that will not initiate downward motion of the load is _kN.
Pls draw the offset sectional view of the solid in the attached image.
Rod M,L ellle ellecl
A D P L3 E B to L1 L2