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.
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70a596c7-807b-4ace-a4e1-9d9303414f64%2F5d158e04-2660-456c-b87c-db9f9a050d4d%2Fg3m349k_processed.jpeg&w=3840&q=75)
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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