126
3 Forced Vibration of Single Degree of Freedom System
Prob. 3.40
3.41 If the frame of Fig. 3.36 is subjected to a support motion as shown in the
figure, determine the relative motion.
Prob. 3.41
3.42 The displacement amplitude A (x = A cos (ω t − φ ) of an SDF system due
to harmonic force is known for two excitation frequencies. At ω = ω 0 , A =
125 mm; at ω = 5ω 0 , A = 0.5 mm. Estimate the damping ratio of the system.
3.43 A weight W placed on a barge is to be raised by a crane. The stiffness of the
crane boom is K c . Determine the equation of motion if the extended point on
the boom is given a displacement x = Vt.
3 Forced Vibration of Single Degree of Freedom System
Prob. 3.40
3.41 If the frame of Fig. 3.36 is subjected to a support motion as shown in the
figure, determine the relative motion.
Prob. 3.41
3.42 The displacement amplitude A (x = A cos (ω t − φ ) of an SDF system due
to harmonic force is known for two excitation frequencies. At ω = ω 0 , A =
125 mm; at ω = 5ω 0 , A = 0.5 mm. Estimate the damping ratio of the system.
3.43 A weight W placed on a barge is to be raised by a crane. The stiffness of the
crane boom is K c . Determine the equation of motion if the extended point on
the boom is given a displacement x = Vt.