3 springs are connected in parallel as shown in the left figure. Below the first 3 springs, 2 other springs are also connected in parallel. Keq = ********** keq mommy m Ken 2 120 N/m a) Find the equivalent spring constant, ke for the upper 3 springs connected in parallel. The upper 3 springs each have kupper = 40 N/m. The lower 2 springs each have klower = 30 N/m. N/m G 4 Kit kat k3 •FOR PARALLEL This is k in the right figure above. N/m 40 + 40 + 40 = 120 b) Find the equivalent spring constant, keq for the lower 2 springs connected in parallel. This is k₂ in the right figure above. 60 mmmmmm 30+30 Now, in the right figure above, the springs k, and k₂, are connected in series. e) Find the equivalent spring constant, keq for ki and k₂. m 5 44

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2) 3 springs are connected in parallel as shown in the left figure. Below the first 3 springs, 2 other springs
are also connected in parallel.
keq =
xoxxxxxx
Keq =
wwwwww
m
keq =
a) Find the equivalent spring constant, keq for the upper 3 springs connected in parallel.
120
N/m
The upper 3 springs each
+ have Kupper = 40 N/m.
N/m
The lower 2 springs each
have klower = 30 N/m.
I. Kit. Kat Kз
40+40+ 40 =
b) Find the equivalent spring constant, keq for the lower 2 springs connected in parallel.
N/m
This is k in the right figure above.
டண்டண்
=120
This is k₂ in the right figure above.
30+30 €60
Now, in the right figure above, the springs k₁ and k2, are connected in series.
c) Find the equivalent spring constant, keq for k₁ and k₂.
The whole combination of springs can be replaced with a single spring with this spring constant.
Transcribed Image Text:2) 3 springs are connected in parallel as shown in the left figure. Below the first 3 springs, 2 other springs are also connected in parallel. keq = xoxxxxxx Keq = wwwwww m keq = a) Find the equivalent spring constant, keq for the upper 3 springs connected in parallel. 120 N/m The upper 3 springs each + have Kupper = 40 N/m. N/m The lower 2 springs each have klower = 30 N/m. I. Kit. Kat Kз 40+40+ 40 = b) Find the equivalent spring constant, keq for the lower 2 springs connected in parallel. N/m This is k in the right figure above. டண்டண் =120 This is k₂ in the right figure above. 30+30 €60 Now, in the right figure above, the springs k₁ and k2, are connected in series. c) Find the equivalent spring constant, keq for k₁ and k₂. The whole combination of springs can be replaced with a single spring with this spring constant.
Fring
Fup 1 =
xxxxxxxx
wawil
Flow =
For calculations on this page, keep 4 digits after the decimal point.
A mass m = 2.5 kg is attached to the system.
d) Determine the force applied to the spring.
m
Work backwards, first to the figure on the right below, with k₁ (part a) and k2 (part b) in series.
f)
Find the distance each
spring will stretch
with mass m attached
e) Determine how far the equivalent spring will stretch.
F
Dovol
Yeq=
N
N
Y₁ =
N.
y₂ =
₁ + y₂ =
m.
In the original (left) figure, each upper spring will stretch by y₁, and each lower spring stretches by y2.
For the next 2 parts, calculate the magnitude of the force.
g) Find the force from one upper spring, stretched by y₁, and the total force from all 3 upper springs.
Fup total =
m
m
Flow total =
m
N
h) Find the force from 1 lower spring, stretched by y2 and the total force from the 2 lower springs.
k1
k₂
N
Transcribed Image Text:Fring Fup 1 = xxxxxxxx wawil Flow = For calculations on this page, keep 4 digits after the decimal point. A mass m = 2.5 kg is attached to the system. d) Determine the force applied to the spring. m Work backwards, first to the figure on the right below, with k₁ (part a) and k2 (part b) in series. f) Find the distance each spring will stretch with mass m attached e) Determine how far the equivalent spring will stretch. F Dovol Yeq= N N Y₁ = N. y₂ = ₁ + y₂ = m. In the original (left) figure, each upper spring will stretch by y₁, and each lower spring stretches by y2. For the next 2 parts, calculate the magnitude of the force. g) Find the force from one upper spring, stretched by y₁, and the total force from all 3 upper springs. Fup total = m m Flow total = m N h) Find the force from 1 lower spring, stretched by y2 and the total force from the 2 lower springs. k1 k₂ N
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