Problem 3: Let P' (mass 4 m) be an attracting particle acting on the system S. The system S iscomprised of the 4 colored particles:â₂â₁S1S₁S2S3S4P'mass = 2.5 m2 m3 m6mmass= 4 mmass=Then, the system S possesses the following characteristics where the distance of eachparticle relative to P'is given:mass=S3mass=S₂70₁4 dâ₁-2dâ₂=707-0= 11da₁-10d â₂= 6 dâ₁-5d â₂70→² = 14 dâ₁ +5dâ₂70 = 15 dâ₁-8 dâ₂S4OP (a) Plot the system exactly to scale. Compute the location of the c.m.; add the center ofmass to the figure.(b) Compute the resultant gravity force; express it as a magnitude and unit vector interms of â₁, â₂. Add the resultant gravity force to the figure including its line ofaction as it extends through the system S.(c) Determine the distance R' between the attracting particle and the c.g. Add the c.g. tothe figure. Do the c.m. and the c.g. coincide?(d) Determine the equivalent system, i.e., a force and moment about the center of massthat will deliver the same dynamical effect to the system. (Note that for this system ofparticles, it is possible to get the exact gravity force and the exact gravity moment!)

Problem 3: Let P' (mass 4 m) be an attracting particle acting on the system S. The system S is comprised of the 4 colored particles: â₂ â S1 S1 S₂ S3 S4 P' S3 mass = 2.5 m mass= 2m mass = 3 m mass = 6 m mass = 4 m Then, the system S possesses the following characteristics where the distance of each particle relative to P'is given: S₂ 70+₁=4dâ₁-2dâ₂ 70 = 11d â₁ - 10d â₂ 70+₁=6dâ₁-5da₂ 70+ = 14 dâ₁ +5dâ₂ = 15 dâ₁-8 dâ₂ → S4 OP

Problem 3: Let P' (mass 4 m) be an attracting particle acting on the system S. The system S is comprised of the 4 colored particles: â₂ â S1 S1 S₂ S3 S4 P' S3 mass = 2.5 m mass= 2m mass = 3 m mass = 6 m mass = 4 m Then, the system S possesses the following characteristics where the distance of each particle relative to P'is given: S₂ 70+₁=4dâ₁-2dâ₂ 70 = 11d â₁ - 10d â₂ 70+₁=6dâ₁-5da₂ 70+ = 14 dâ₁ +5dâ₂ = 15 dâ₁-8 dâ₂ → S4 OP

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

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.10P: A differential equation is d2ydt2=Ay2+Byt where y represents a distance and t is time. Determine the...

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Question

Problem 3: Let P' (mass 4 m) be an attracting particle acting on the system S. The system S is
comprised of the 4 colored particles:
â₂
â₁
S1
S₁
S2
S3
S4
P'
mass = 2.5 m
2 m
3 m
6m
mass= 4 m
mass=
Then, the system S possesses the following characteristics where the distance of each
particle relative to P'is given:
mass=
S3
mass=
S₂
70₁4 dâ₁-2dâ₂
=
70
7-0
= 11da₁-10d â₂
= 6 dâ₁-5d â₂
70→² = 14 dâ₁ +5dâ₂
70 = 15 dâ₁-8 dâ₂
S4
OP

(a) Plot the system exactly to scale. Compute the location of the c.m.; add the center of
mass to the figure.
(b) Compute the resultant gravity force; express it as a magnitude and unit vector in
terms of â₁, â₂. Add the resultant gravity force to the figure including its line of
action as it extends through the system S.
(c) Determine the distance R' between the attracting particle and the c.g. Add the c.g. to
the figure. Do the c.m. and the c.g. coincide?
(d) Determine the equivalent system, i.e., a force and moment about the center of mass
that will deliver the same dynamical effect to the system. (Note that for this system of
particles, it is possible to get the exact gravity force and the exact gravity moment!)

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