**Problem Statement:**3. The 30-kg gear \(A\) has a radius of gyration about its center of mass \(O\) of \(k_O = 125 \, \text{mm}\). If the 20-kg gear rack \(B\) is subjected to a force of \(P = 200 \, \text{N}\), determine the time required for the gear to obtain an angular velocity of \(20 \, \text{rad/s}\), starting from rest. The contact between the gear rack and the horizontal plane is smooth.**Diagram Explanation:**The accompanying diagram depicts a horizontal arrangement with the following components:1. A gear \(A\) of mass \(30 \, \text{kg}\) and a labeled radius \(0.15 \, \text{m}\).2. The gear rack \(B\) of mass \(20 \, \text{kg}\), which interfaces with gear \(A\) at the bottom. 3. The gear \(A\) rests on the gear rack \(B\).4. A force \(P = 200 \, \text{N}\) is applied horizontally to gear rack \(B\).5. The direction of the applied force \(P\) is indicated by an arrow pointing rightward.In the diagram:- The center of mass \(O\) of the gear \(A\) is marked with a small circle and a dot in the middle.- The radius \(0.15 \, \text{m}\) is marked with an arrow extending from the center \(O\) to the outer edge of gear \(A\).- The horizontal plane is denoted as being smooth, minimizing friction effects. This problem involves calculating the time required for the gear \(A\) to reach an angular velocity of \(20 \, \text{rad/s}\) under the influence of the applied force, considering the given conditions and constraints.

Given:mass of the gear= 30 kgradius of gyration ko=0.125 mmmass of the rack= 20 kgP=200Ninitial…

3. The 30-kg gear A has a radius of gyration about its center of mass O of ko = 125 mm. If the 20-kg gear rack B is subjected to a force of P = 200 N, determine the time required for the gear to obtain an angular velocity of 20 rad/s, starting from rest. The contact between the gear rack and the horizontal plane is smooth. 0.15 m P= 200 N

3. The 30-kg gear A has a radius of gyration about its center of mass O of ko = 125 mm. If the 20-kg gear rack B is subjected to a force of P = 200 N, determine the time required for the gear to obtain an angular velocity of 20 rad/s, starting from rest. The contact between the gear rack and the horizontal plane is smooth. 0.15 m P= 200 N

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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