The disk of Figure P3.40 rolls without slip.

(a) What is the critical damping coefficient, \(c_{c}\), for the system?

(b) If \(c=c_{c} / 2\), plot the response of the system when the center of the disk is displaced \(5 \mathrm{~mm}\) from equilibrium and released from rest.

(c) Repeat part

(b) if \(c=3 c_{c} / 2\).

(d) Repeat part

(b) if \(c=c_{c}\).

(e) If the coefficient of friction between the disk and surface is 0.15 , is the noslip assumption still valid for the systems of parts (b), (c), and (d).

Transcribed Image Text:

k = 4 103 N/m 40 cm Thin disk m = 1 kg No slip C FIGURE P3.40: