Question

Two objects are said to be in parallel when they both act on the
system in the same way, e.g., two forces are in parallel if they
have the same direction and are applied at the same point.

A light rod of length 33.7 cm is held aloft from the ceiling by two
springs attached to its ends. The left spring has a stiffness of
15.3 kg/s^{2} and equilibrium length of 29.5 cm and the
right spring has a stiffness of 17.9 kg/s^{2} and
equilibrium length of 30.4 cm. A ring weighing 549 g is placed 23.3
cm from the left spring.

(a) How much does the left spring stretch?

(b) How much does the right spring stretch?

Now, mathematically slide the ring to the point that levels the
rod.

(c) At what distance from the left spring should you place the ring
in order for the rod to be level?

(d) How far from the ceiling is the rod when it's level?

Now consider modelling the two springs as if there were only one
spring that held the ring aloft.

(e) What is the equilibrium length of the spring?

(f) How much does the spring stretch when the ring is placed on
it?

(g) What is the stiffness of the spring?

Answer #1

SPRINGS IN PARALLEL
Two objects are said to be in parallel when they both act on the
system in the same way, e.g., two forces are in parallel if they
have the same direction and are applied at the same point.
A light rod of length 47.1 cm is held aloft from the ceiling by two
springs attached to its ends. The left spring has a stiffness of
13.8 kg/s2 and equilibrium length of 30.5 cm and the
right spring...

A 0.583 kg mass hung from a spring stretches the spring by an
amount 0.310 m.
(a) How much does it stretch each of two such identical springs
if they are hung in parallel as shown in Figure (a)?
(b) How much does it stretch the combination of two such springs if
they are hung in series as shown in Figure (b)?
(c) Calculate the effective force constant of a single replacement
spring in each case.
Figure (a)
Figure (b)

A bar weighting 26.0 N is supported horizontally on each end by
two hanging springs, each 15.0 cm long, with spring constants 0.970
N/cm and 1.45 N/cm, respectively. The bar is 6.00 m long and has a
center mass of 2.00 m from the spring constant 0.970 N/cm. How far
does each spring stretch?

A massless pan hangs from a spring that is suspended from the
ceiling. When empty, the pan is 50 cm below the ceiling. If a 100 g
clay ball is placed gently on the pan, the pan hangs 60 cmbelow the
ceiling. Suppose the clay ball is dropped from the ceiling onto an
empty pan.
Part A
What is the pan's distance from the ceiling when the spring
reaches its maximum length?
Express your answer to two significant figures and...

Description:
A single mass m1 = 3.9 kg hangs from a spring in a
motionless elevator. The spring is extended x = 11 cm from its
unstretched length.
the spring constant of the spring is 347.45 N/m
Now, three masses m1 = 3.9 kg, m2 = 11.7
kg and m3 = 7.8 kg hang from three identical springs in
a motionless elevator. The springs all have the same spring
constant that you just calculated above.
the force the top spring...

A 200.g block on a horizontal, frictionless surface is located
between two unstrained springs. The spring on the left of the block
has a spring constant of 35N/m and the spring on the right has a
constant of 85N/m. a) How much work must be done by an external
force to displace the block 3.0cm to the left? b) If the block is
released from the above position, how fast will the block be moving
when it returns to the...

Jae has two infinitely long wires with same currents running
through in parallel and they are placed on a floor. Describe what
happens to the position of the wires. So, for instance, when the
two wires were 10 cm away from each other, what happens to the
distance after 1 minute? Then, with that in mind, briefly describe
what happens to a spring when current runs through using Ampere’s
law. Please explain thoroughly and write neatly!

*** Please answer ALL three questions including question 1,
question 2 that also comes with part A and B, and finally question
3. ***
1) A car rides on four wheels that are connected to the body of
the car by spring assemblies that let the wheels move up and down
over bumps and dips in the road. When an 80 kg person sits on the
left front fender of a small car, this corner of the car dips by...

05.3 Consider a spring that does not obey Hooke's law very
faithfully. One end of the spring is fixed. To keep the spring
stretched or compressed an amount x, a force along the x-axis with
xcomponent Fx =kx – bx2 + cx3 must be applied to the free end,
where k = 130 N/m, b = 660 N/m2 , and c = 16000 N/m3 . Note that x
> 0 when the spring is stretched and x < 0 when...

A block with mass m = 5.7 kg is attached to two springs with
spring constants kleft = 36 N/m and kright =
53 N/m. The block is pulled a distance x = 0.22 m to the left of
its equilibrium position and released from rest.
1)
What is the magnitude of the net force on the block (the moment
it is released)?
N
2)
What is the effective spring constant of the two springs?
N/m
3)
What is the...

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