In the system shown in the figure, an inextensible rope passes over two weightless cylinders. Write the differential equation of motion for the mass m and determine the natural frequency Wn. ka T T B m ko ww
In the system shown in the figure, an inextensible rope passes over two weightless cylinders. Write the differential equation of motion for the mass m and determine the natural frequency Wn. ka T T B m ko ww
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![In the system shown in the figure, an inextensible rope passes over two weightless
cylinders. Write the differential equation of motion for the mass m and determine the
natural frequency wn.
ka
T T
A
B
m
ko
Hint: consider one of the fixed pulleys and calculate the ratio of the displacement of
the mass m and the corresponding spring elongation; then do the same considering
the other fixed pulley
kakp
4(ka + kp)
më + keqx = 0,
kea
%3D
ans.
ww-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd8ec7517-53c2-4288-8190-e85fb6722b7e%2F76cceeb6-4803-4300-b2c7-ddcdbef36960%2F0afvllf_processed.png&w=3840&q=75)
Transcribed Image Text:In the system shown in the figure, an inextensible rope passes over two weightless
cylinders. Write the differential equation of motion for the mass m and determine the
natural frequency wn.
ka
T T
A
B
m
ko
Hint: consider one of the fixed pulleys and calculate the ratio of the displacement of
the mass m and the corresponding spring elongation; then do the same considering
the other fixed pulley
kakp
4(ka + kp)
më + keqx = 0,
kea
%3D
ans.
ww-
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