The pendulum consists of the 2-kg slender barand the 6-kg plate. Determine the location Y ofits center of mass G.2 m0.5 mOG1m b) Calculate its moment of inertia with respectto the screen andto an axis perpendicularpassing through G.

Answered: The pendulum consists of the 2-kg…

The pendulum consists of the 2-kg slender bar and the 6-kg plate. Determine the location Y of its center of mass G. 2 m 0.5 m y O G |—1m

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter6: Beams And Cables

Section: Chapter Questions

Problem 6.72P: The cable AOB weighs 24 N/m. Determine the sag H and the maximum tension in the cable.

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Concept explainers

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

The pendulum consists of the 2-kg slender bar
and the 6-kg plate. Determine the location Y of
its center of mass G.
2 m
0.5 m
O
G
1m

b) Calculate its moment of inertia with respect
to the screen and
to an axis perpendicular
passing through G.

Expert Solution

Step 1

(a)

To find:

The location of $y$ of its center of mass $G$ .

Given:

The mass of slender bar is $m_{1} = 2 kg$ .

The mass of plate is $m_{2} = 6 kg$ .

Formula used:

The location of $y$ of its center of mass $G$ .

$y = \frac{\sum_{} y_{i} m_{i}}{\sum_{} m_{i}}$

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