The system shown can undergo vertical motion only and the springs are unstretched when
The system shown can undergo vertical motion only and the springs are unstretched when 
Homework Answers
Draw the free body diagram of mass A.
Write the force equilibrium equation in the vertical direction.
Here, 
is the spring constant of spring 1, 
is the spring constant of spring 2, 
is the mass of the block A, 
, 
are the distances moved by the masses 
and 
respectively, and 
is acceleration due to gravity.
Substitute 
for 
, 
for 
, 
for 
, and 
for 
.
…… (1)
Draw the free body diagram of mass B.
Write the force equilibrium equation in the vertical direction.
Substitute 
for 
, 
for 
, 
for 
, and 
for 
.
Substitute 
for 
.
Therefore, the distance moved by the block B is
.
Substitute 
for 
in equation (1).
Therefore, the distance moved by the block A is
.
Calculate the force supported by spring 1.
Substitute 
for 
and 
for 
.
Therefore, the force supported by spring 1 is 
.
Calculate the force supported by spring 2.
Substitute 
for 
, 
for 
, and 
for 
.
Therefore, the force supported by spring 2 is
.
Calculate the force supported by spring 3.
Substitute 
for 
and 
for 
.
Therefore, the force supported by spring 3 is 
.
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The system shown can undergo vertical motion only and the springs are unstretched when
The system shown can undergo vertical motion only, and both springs are unstretched when WD0. Determine...
The system shown can undergo vertical motion only, and both
springs are unstretched
when WD0. Determine the deflection ?in terms of W,
k1,andk2
The system shown can undergo vertical motion only and the springs are unstretched the answers I...
The system shown can undergo vertical motion only and
the springs are unstretched
the answers I have are wrong.
F1 = F2= F3= The system shown can undergo vertical motion only and the springs are...
F1 =
F2=
F3=
The system shown can undergo vertical motion only and the springs are unstretched when δ A-δ B-0. Determine δ A , δ B, and the force supported by each spring if mA-50 kg, mB = 84 kg, k 1-102 N/mm, k 2-122 N/mm, and k 3 = 143 N/mm. mA 2 m B
I can't seem to get the right answer for this problem please help! The system shown...
I can't seem to get the right answer for this problem please
help!
The system shown can undergo vertical motion only the springs
are unstretched when ?a=?b=0. Determine ?a,?b and the force
supported by each spring if Ma=50kg, Mb=80kg, K1=100N/mm,
K2=120N/mm, K3= 140N/mm.
please solve only part C iven the system of pulleys and springs shown, find: a) Equivalent...
please solve only part C
iven the system of pulleys and springs shown, find: a) Equivalent spring constant for the three vertical springs and the two springs at 202 b)1he tension in cables labeled 1 and 2, c) the amount of stretch in each of the springs shown. k-500N/m BOX IN YOUR ANSWERS k=500N/m 60 20 K2 Series Ke 250m NC 100kg W k 200N/m 100N/m
iven the system of pulleys and springs shown, find: a) Equivalent spring constant for...
A massless rod with length L is attached to two springs at its two masses (both...
A massless rod with length L is
attached to two springs at its two masses (both m) at its two ends.
The masses are connected to springs. The springs can move in the
horizontal and vertical directions as shown in the figure and they
both have a stiffness k. Note that gravity acts. Assume the springs
are un-stretched when the rod is vertical. Find the equation of
motion for the system using 1. Newton’s second law 2. Conservation
of energy....
The disc is stationary when the springs are unstretched If it rolls without slipping determine th...
The disc is stationary when the springs are unstretched If it rolls without slipping determine the natural circular frequency. The 15 kg disc has a radius of gyration about its center of 125 mm. k 200 N/m 200 mm 100 mm k 200 N/m
The disc is stationary when the springs are unstretched If it rolls without slipping determine the natural circular frequency. The 15 kg disc has a radius of gyration about its center of 125 mm. k 200...
Q3 The system is released from rest at x springs are unstretched. (a) determine if the...
Q3 The system is released from rest at x springs are unstretched. (a) determine if the syst Derive the expression for x(O) -38.1 mm, where x is mea em is underdamped, critically damped, or overdamped. (b) N-s/m 3284 N/m 2189 N/m
Question 5 Consider the spring loaded system shown below. Assume that the springs are undeformed when...
Question 5 Consider the spring loaded system shown below. Assume that the springs are undeformed when the pendulum is vertical (0-0). Assume the angle of oscillation θ is small. Derive the equation
Two blocks and three springs are configured as in Fig. All motion is horizontal. When the...
Two blocks and three springs are configured as in Fig. All motion is horizontal. When the blocks are at rest, all springs are unstretched. k2 k3 m1 m2 (a) Choose as generalized coordinates the displacement of each block from its equilibrium position, and write the Lagrangian. (b) Find the T and V matrices (c) Suppose m1 2m m2-mk4k Find the frequencies of small oscillations. (d) Find the eigenvectors and be sure to normalize them. See the hint below from the...
The system shown can undergo vertical motion only, and both
springs are unstretched
when WD0. Determine the deflection ?in terms of W,
k1,andk2
The system shown can undergo vertical motion only and
the springs are unstretched
the answers I have are wrong.
F1 =
F2=
F3=
The system shown can undergo vertical motion only and the springs are unstretched when δ A-δ B-0. Determine δ A , δ B, and the force supported by each spring if mA-50 kg, mB = 84 kg, k 1-102 N/mm, k 2-122 N/mm, and k 3 = 143 N/mm. mA 2 m B
I can't seem to get the right answer for this problem please
help!
The system shown can undergo vertical motion only the springs
are unstretched when ?a=?b=0. Determine ?a,?b and the force
supported by each spring if Ma=50kg, Mb=80kg, K1=100N/mm,
K2=120N/mm, K3= 140N/mm.
please solve only part C
iven the system of pulleys and springs shown, find: a) Equivalent spring constant for the three vertical springs and the two springs at 202 b)1he tension in cables labeled 1 and 2, c) the amount of stretch in each of the springs shown. k-500N/m BOX IN YOUR ANSWERS k=500N/m 60 20 K2 Series Ke 250m NC 100kg W k 200N/m 100N/m
iven the system of pulleys and springs shown, find: a) Equivalent spring constant for...
A massless rod with length L is
attached to two springs at its two masses (both m) at its two ends.
The masses are connected to springs. The springs can move in the
horizontal and vertical directions as shown in the figure and they
both have a stiffness k. Note that gravity acts. Assume the springs
are un-stretched when the rod is vertical. Find the equation of
motion for the system using 1. Newton’s second law 2. Conservation
of energy....
The disc is stationary when the springs are unstretched If it rolls without slipping determine the natural circular frequency. The 15 kg disc has a radius of gyration about its center of 125 mm. k 200 N/m 200 mm 100 mm k 200 N/m
The disc is stationary when the springs are unstretched If it rolls without slipping determine the natural circular frequency. The 15 kg disc has a radius of gyration about its center of 125 mm. k 200...
Q3 The system is released from rest at x springs are unstretched. (a) determine if the syst Derive the expression for x(O) -38.1 mm, where x is mea em is underdamped, critically damped, or overdamped. (b) N-s/m 3284 N/m 2189 N/m
Question 5 Consider the spring loaded system shown below. Assume that the springs are undeformed when the pendulum is vertical (0-0). Assume the angle of oscillation θ is small. Derive the equation
Two blocks and three springs are configured as in Fig. All motion is horizontal. When the blocks are at rest, all springs are unstretched. k2 k3 m1 m2 (a) Choose as generalized coordinates the displacement of each block from its equilibrium position, and write the Lagrangian. (b) Find the T and V matrices (c) Suppose m1 2m m2-mk4k Find the frequencies of small oscillations. (d) Find the eigenvectors and be sure to normalize them. See the hint below from the...
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