**Problem 4:**The diagram shows four masses connected by massless rigid sticks forming a rectangle. The layout is as follows:- Mass \( m_A = 100 \, g \) is located at point A.- Mass \( m_B = 100 \, g \) is located at point B.- Mass \( m_C = 200 \, g \) is located at point C.- Mass \( m_D = 200 \, g \) is located at point D.The dimensions of the rectangle are:- Length AB (horizontal side): 10 cm- Length AC (vertical side): 8 cm### Tasks:a.) **Locate the center of mass.**b.) **Calculate the total kinetic energy of the system:**- The object rotates about an axis that passes through the center of mass and is parallel to the z-axis.- The constant angular velocity is \( \omega = 8 \, \text{rad/s} \).### Diagram Explanation:The diagram is a rectangle labeled with points A, B, C, and D at the corners. The x-axis runs horizontally through C and D, and the y-axis runs vertically through A and C. The distance between A and B is 10 cm, and the distance between A and C is 8 cm. Each corner of the rectangle has a circle representing a mass. The masses on the top row (A and B) are 100 g, and the masses on the bottom row (C and D) are 200 g. The problem asks to find the center of mass and the kinetic energy when rotated around its center with an angular velocity of 8 rad/s.

Answered: Image /qna-images/answer/c33ebc88-34a3-4d2f-8df0-95d6679a2218.jpg

4. E 10 cm mA = 100 g mB = 100 g mc = 200 g mp = 200 g The four masses are connected by massless rigid sticks. a.) Locate the center of mass. b.) The object rotates about an axis that passes through the center of mass and is parallel to the z-axis. The constant angular velocity is w = 8 rad/s. Calculate the total kinetic energy of this system.

4. E 10 cm mA = 100 g mB = 100 g mc = 200 g mp = 200 g The four masses are connected by massless rigid sticks. a.) Locate the center of mass. b.) The object rotates about an axis that passes through the center of mass and is parallel to the z-axis. The constant angular velocity is w = 8 rad/s. Calculate the total kinetic energy of this system.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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