45 **Problem Statement:**The 12-kg slender rod is attached to a spring, which has an unstretched length of 2 meters. If the rod is released from rest when \( \theta = 30° \), determine its angular velocity at the instant \( \theta = 90° \).**Diagram Explanation:**The diagram visualizes a physics problem involving a slender rod and a spring. Here is a detailed explanation of the diagram:1. **Rod Setup**: - A slender rod, identified at points A, B, and C, is shown. - Point A represents the pivot point where the rod is attached to a fixed support. - Points B and A have a horizontal distance of 2 meters. - Points A and C have a vertical distance of 2 meters, with point C indicating the free end of the rod.2. **Spring Connection**: - A spring is attached to the setup, with a spring constant of \( k = 40 \, \text{N/m} \). - The unstretched length of the spring is 2 meters. - The spring is connected from point B (on the fixed support) to point C (the free end of the rod).3. **Rod Position and Angle**: - The initial position of the rod is inclined at an angle \( \theta = 30° \) relative to the horizontal axis. - The task is to determine the rod's angular velocity at the instant when the angle \( \theta = 90° \) (when the rod is vertical).**Objective**:- Calculate the angular velocity of the rod at the instant \( \theta = 90° \).This educational content assists students in understanding the relationship between angular motion, spring dynamics, and rigid body mechanics.

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Answered: 18-45. The 12-kg slender rod is…

18-45. The 12-kg slender rod is attached to a spring, which has an unstretched length of 2 m. If the rod is released from rest when = 30°, determine its angular velocity at the instant = 90°. 2m

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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