Question

**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/s^{2} and equilibrium length of 30.5 cm and the
right spring has a stiffness of 11.9 kg/s^{2} and
equilibrium length of 20.2 cm. A ring weighing 523 g is placed 21.6
cm from the left spring.

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

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/s2 and equilibrium length of 29.5 cm and the
right spring has a stiffness...

ball bearing of mass 100 kg is sitting on top of two springs of
equal length, which are placed inside each other to form a single
column. One spring has a spring constant of 150 n/m and the second
spring has a spring constant of 180 N/m. If both springs are
compressed 0.2000 m, determine the vertical displacement of the
ball bearing above the equilibrium position of the two springs.
Show final variable equation and answer in the units of...

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...

A block with mass m = 6.8 kg is attached to two springs with
spring constants kleft = 36 N/m and kright =
56 N/m. The block is pulled a distance x = 0.28 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...

A block with mass m = 4.3 kg is attached to two springs with
spring constants klef t = 35 N/m and kright = 48 N/m. The block is
pulled a distance x = 0.23 m to the left of its equilibrium
position and released from rest. (a) What is the magnitude of the
net force on the block at the moment it is released? (2pt) (b) What
is the period of oscillation of the block? (1pt) (c) How long...

Two ideal springs with spring constant
k and relaxed length L are attached to two rigid walls, as shown in
Figure 1. The two walls are a total distance D =
3L
apart from one another. The springs are then attached to a ball
that has mass m and negligible width, and the ball is then
displaced from equilibrium, as shown in Figure 2. The location of
the ball is given by the x-coordinate, as measured rightward from
the left-most...

Two horizontal, parallel conductors are connected to each other
at the left end via an ammeter of internal resistance of r = 2 Ω. A
conductor of length L = 0.5 m, resistance R = 8 Ω and mass m = 5 kg
can slide (no friction) along the horizontal rails. The whole
system is inside a uniform magnetic field of magnitude 2 T and
direction perpendicular to the plane formed by the two parallel
conductors (i.e., pointing into the...

A heater is being designed that uses a coil of nichrome wire (ρ
= 100x10-8 Ω·m) to generate 100 W using a voltage of
V=220V. The wire is 2000 m long. What cross sectional area should
the wire have?
None of the above
1.7e-2 m2
7.23e-4 m2
4.13e-6 m2
2.06e-3 m2
What is the magnification of a converging lens with a focal
length of 7.5 cm when an object is held 5 cm from it?
3.00
2.14
1.36
5.00
None...

1.). Two sinusoidal waves are moving through a medium in the
same direction, both having amplitudes of 4.00 cm, a wavelength of
3.50 m, and a period of 6.25 s, but one has a phase shift of an
angle φ. What is the phase shift (in rad) if the resultant
wave has an amplitude of 4.00 cm? Hint: Use the trig identity
2.). Consider two sinusoidal sine waves traveling along a
string, modeled as
y1(x, t) = (0.2 m)sin[(6 m−1)x...

A particle with mass 2.61 kg oscillates horizontally at the end
of a horizontal spring. A student measures an amplitude of 0.923 m
and a duration of 129 s for 65 cycles of oscillation. Find the
frequency, ?, the speed at the equilibrium position, ?max, the
spring constant, ?, the potential energy at an endpoint, ?max, the
potential energy when the particle is located 68.5% of the
amplitude away from the equiliibrium position, ?, and the kinetic
energy, ?, and...

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