2. Three particles are situated in 3-D space. The position of each particle isrepresented by the following vectors:• A 5-kg particle at 7 = 4î + 3j + 5k• A 3-kg particle at = -3î + 5j + 3kA 6-kg particle at F = 5î – 6kA. Find the location of the center of mass of these particles.B. How far is each particle from the center of mass?

we will individual find the individual coordinates of the Centre of mass. For mass 5 kg X1= 4…

Answered: 2. Three particles are situated in 3-D…

2. Three particles are situated in 3-D space. The position of each particle is represented by the following vectors: A 5-kg particle at 7 = 4î + 3j + 5k A 3-kg particle at ; = -3î + 5j + 3k %3D

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

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2. Three particles are situated in 3-D space. The position of each particle is
represented by the following vectors:
• A 5-kg particle at 7 = 4î + 3j + 5k
• A 3-kg particle at = -3î + 5j + 3k
A 6-kg particle at F = 5î – 6k
A. Find the location of the center of mass of these particles.
B. How far is each particle from the center of mass?

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Step 1: x component of center of mass

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Step 2; Y coordinate of Centre of Mass

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Step 3: Z coordinate of center of mass

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Step 4: location of centre of mass

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Step 5: Distance between mass 5 kg and centre of mass

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Step 6 Distance between mass 3 kg and centre of mass

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Step 7:Distance between mass 6 kg and centre of mass

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