5.11 A uniform circular disk of mass m and radius r rolls without slip along a plane inclined at a constant angle ß with horizontal as shown in Fig. P5-11. Attached at the center of the disk is a linear spring with spring constant K. Knowing that the spring is unstretched when the angle 0 is zero and that gravity acts downward, determine the differential equation of motion for the disk in terms of the angle 0.

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5.11 A uniform circular disk of mass m and radius r rolls without slip along a plane
inclined at a constant angle B with horizontal as shown in Fig. P5-11. Attached at the
center of the disk is a linear spring with spring constant K. Knowing that the spring is
unstretched when the angle 0 is zero and that gravity acts downward, determine the
differential equation of motion for the disk in terms of the angle 0.
K
Figure P5-11
Transcribed Image Text:5.11 A uniform circular disk of mass m and radius r rolls without slip along a plane inclined at a constant angle B with horizontal as shown in Fig. P5-11. Attached at the center of the disk is a linear spring with spring constant K. Knowing that the spring is unstretched when the angle 0 is zero and that gravity acts downward, determine the differential equation of motion for the disk in terms of the angle 0. K Figure P5-11
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