1.16 Calculate the frequency of the damped oscillation of the system shown in Fig. 1.33 for the values k = 4,000 lb/in (7.0051 × 10^5 N/m), c = 20 lb-s/in (3,502.54 N-s/m), m = 10 lb-s^2/in (1,751.27 kg), a = 50 in (1.27 m), and L = 100 in (2.54 m). Determine the value of the critical damping.

1.16 Calculate the frequency of the damped oscillation of the system shown in Fig. 1.33 for the values $k = 4,000 \text{ lb/in} \ (7.0051 \times 10^5 \text{ N/m})$, $c = 20 \text{ lb-s/in} \ (3,502.54 \text{ N-s/m})$, $m = 10 \text{ lb-}s^2/\text{in} \ (1,751.27 \text{ kg})$, $a = 50 \text{ in} \ (1.27 \text{ m})$, and $L = 100 \text{ in} \ (2.54 \text{ m})$. Determine the value of the critical damping.

A damped system has the following parameters: $m=2 \mathrm{~kg}, c=3 \mathrm{~N}-\mathrm{s} / \mathrm{m},$ and $k=40 \mathrm{~N} / \mathrm{m} .$ Determine the natural frequency, damping ratio, and the type of response of the system in free vibration. Find the amount of damping to be added or subtracted to make the system critically damped.

a-damped-system-has-the-following-parameters-m2-mathrmkg-c3-mathrmn-mathrms-mathrmm-and-k40-mathrm-2

A damped spring mass system with values of c = 100 kg/s, m = 100 kg, and k = 910 N/m, is subjected to a force of 10 cos (3t) N. The system is also subjected to initial conditions: x0 = 0.001 m and v0 = 0.02 mm/s. The value of the the amplitude of the transient response form of the system is given by?

Kratika B.

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