Attached is the image of the system, as well as the question. The equations are my derivations from the system. Please answer letters a-e at the bottom 36. What are the general equations for the kinetic energy of a moving mass, the gravitationalpotential energy of a stretched spring, and the gravitational potential energy of mass raised adistance above some zero height?KE = }mv²U = }kx²U = mghDefine y, Yo: Vı, m;, and m, , the same as before. Choose the zero gravitational potential energy foreach mass to be at the position it is at when the spring is unstretched(when y=0)2m,gy2mgYok- kyky,-m;g• aa. Write an expression for the total potential energy of the system when the spring is stretched anamount y.b. Substitute in y =yo -}; to the expression from letter a.c. Expand all of the terms.d. Substitute in the expression for y.e. Simplify the expression for mechanical energy. km.force(reads zero| sensor at equilibrium)position of masswhen spring isunstretchedposition of cart Yowhen spring isequilibriumpositionof cartymunstretchedcurrent Yopositionof masscurrentpositionof cartequilibriumpositionnf mass

From the given information, a.Total energy = Kinetic energy + potential energyPotential energy:P =…

Answered: ttached is the image of the system, as…

ttached is the image of the system, as well as the question. The equations are my derivations from the system. Please answer letters a-e at the bottom

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 1.12P: A differential equation encountered in the vibration of beams is d4ydx4=2D where x = distance...

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Attached is the image of the system, as well as the question. The equations are my derivations from the system. Please answer letters a-e at the bottom

36. What are the general equations for the kinetic energy of a moving mass, the gravitational
potential energy of a stretched spring, and the gravitational potential energy of mass raised a
distance above some zero height?
KE = }mv²
U = }kx²
U = mgh
Define y, Yo: Vı, m;, and m, , the same as before. Choose the zero gravitational potential energy for
each mass to be at the position it is at when the spring is unstretched(when y=0)
2m,g
y
2mg
Yo
k
- ky
ky,-m;g
• a
a. Write an expression for the total potential energy of the system when the spring is stretched an
amount y.
b. Substitute in y =yo -}; to the expression from letter a.
c. Expand all of the terms.
d. Substitute in the expression for y.
e. Simplify the expression for mechanical energy.

k
m.
force
(reads zero
| sensor at equilibrium)
position of mass
when spring is
unstretched
position of cart Yo
when spring is
equilibrium
position
of cart
ym
unstretched
current Yo
position
of mass
current
position
of cart
equilibrium
position
nf mass

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