The system of three particles has the indicated particle masses, velocities, and external forces. If r represents the location of the center of mass, determine r, d(r)/dt, d²(r)/dt2, T, Ho, and d(Ho)/dt for this two-dimensional system. Assume m₁ = 1.2 kg, m₂ = 2.6 kg, m3 = 4.4 kg, d₁ = 1.39 m, d2 = 0.74 m, v2 = 2.5 m/s, v3 = 1.8 m/s, F = 11.0 N. m "2 d₂ y O Answers: r= T V₂ d(r)/dt = (i i d²(r)/dt² = (i Ho i (i d(Ho)/dt = i m₂ - m (stationary) F i+ i i+ i i+ i kg-m²/s² i+ i i+ i j+ j+ j+ i i i k) m k) m/s k) m/s² k) kg-m²/s k) kg-m²/s²

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
icon
Related questions
Question
The system of three particles has the indicated particle masses, velocities, and external forces. If r represents the location of the center
of mass, determiner, d(r)/dt, d²(r)/dt2, T, Ho, and d(Ho)/dt for this two-dimensional system.
Assume m₁ = 1.2 kg, m2 = 2.6 kg, m3 = 4.4 kg, d₁ = 1.39 m, d₂ = 0.74 m, v₂ = 2.5 m/s, v3 = 1.8 m/s, F = 11.0 N.
y
1
O
Answers:
d(r)/dt =
T
V₂
d²(r)/dt² = (i
HoR
(i
i
( i
d(Ho)/dt = ( ¡
d₁
V
m3
m.
1
(stationary)
-
i+
i+
i+
i +
-X
i+
i
i
kg.m²/s²
i
i
j+ i
j+ i
j+ i
j+ i
j+ i
k) m
k) m/s
k) m/s²
k) kg-m²/s
k) kg-m²/s2
Transcribed Image Text:The system of three particles has the indicated particle masses, velocities, and external forces. If r represents the location of the center of mass, determiner, d(r)/dt, d²(r)/dt2, T, Ho, and d(Ho)/dt for this two-dimensional system. Assume m₁ = 1.2 kg, m2 = 2.6 kg, m3 = 4.4 kg, d₁ = 1.39 m, d₂ = 0.74 m, v₂ = 2.5 m/s, v3 = 1.8 m/s, F = 11.0 N. y 1 O Answers: d(r)/dt = T V₂ d²(r)/dt² = (i HoR (i i ( i d(Ho)/dt = ( ¡ d₁ V m3 m. 1 (stationary) - i+ i+ i+ i + -X i+ i i kg.m²/s² i i j+ i j+ i j+ i j+ i j+ i k) m k) m/s k) m/s² k) kg-m²/s k) kg-m²/s2
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Knowledge Booster
Dynamics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY