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
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
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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
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