By Sir James H. Jeans, Physics
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Extra resources for An elementary treatise on theoretical mechanics
103. 7. Impulse Response 41 The free vibration of the underdamped single degree offreedom system shown in Fig. 105) where X and ,p are constants to be determined from the initial conditions, W is the natural frequency, ~ is the damping factor, and Wd is the damped natural frequency Wd=W~ As the result of applying an impulsive force with a linear impulse I at t = 0, the initial conditions are x(t = 0) = 0, . = x(t 0) I =- m Since the initial displacement is zero, Eq. 104 yields Using Eq. 10 Find the response of the single degree of freedom system shown in Fig.
Determine the response of the damped single degree of freedom mass-spring system to the forcing function shown in Fig. P 12. FIG. 31. Obtain the response of the damped mass-spring system to the forcing function shown in Fig. P 13. F(I) o FIG.
Determine the forced response of the undamped single degree of freedom springmass system to the forcing function shown in Fig. PIt. F(t) o FIG. lt 52 1. 29. Determine the forced response of the damped single degree of freedom massspring system to the forcing function shown in Fig. PI1. 30. Determine the response of the damped single degree of freedom mass-spring system to the forcing function shown in Fig. P 12. FIG. 31. Obtain the response of the damped mass-spring system to the forcing function shown in Fig.
An elementary treatise on theoretical mechanics by Sir James H. Jeans, Physics