5. The figure shows two masses M and m suspended from a rigid ceiling by springs of constant K1 and K2, where K1 is the spring constant of upper spring and K2 is the spring constant of lower spring. M Fo cos ot m a. If the mass M is subjected to a driving force Fo cos(wt) in the downward direction. Write the equation of motion for both masses. b. Assuming solutions of the form x1 = A cos(wt) and x2 = B cos(wt). Find A and B. c. For w = K1 V M K2 show that the amplitude of vibration of mass M will be zero if K1
5. The figure shows two masses M and m suspended from a rigid ceiling by springs of constant K1 and K2, where K1 is the spring constant of upper spring and K2 is the spring constant of lower spring. M Fo cos ot m a. If the mass M is subjected to a driving force Fo cos(wt) in the downward direction. Write the equation of motion for both masses. b. Assuming solutions of the form x1 = A cos(wt) and x2 = B cos(wt). Find A and B. c. For w = K1 V M K2 show that the amplitude of vibration of mass M will be zero if K1
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Transcribed Image Text:5. The figure shows two masses M and m suspended from a rigid ceiling by springs of
constant K1 and K2, where Kị is the spring constant of upper spring and K, is the spring
constant of lower spring.
M
Fo cos ot
m
a. If the mass M is subjected to a driving force Fo cos(wt) in the downward direction.
Write the equation of motion for both masses.
b. Assuming solutions of the form x1 =
A cos(wt) and x2 =
B cos(wt). Find A and B.
A show that the amplitude of vibration of mass M will be zero if 2
K1
M
c. For w =
m
%3D
M
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