A disk of mass m and radius r rolls without slip inside a rough circular surface...

 

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A disk of mass m and radius r rolls without slip inside a rough circular surface of radius R, as shown in Fig. 1.58. Derive the differential equation for the angular motion 8 by writing two equations of motion, one for the translation of C and one for the rotation of the disk about C, and then eliminating the force at the point of contact A. The angle 9 can be arbitrarily large. h 0 R FIGURE 1.58 Disk rolling without slip A disk of mass m and radius r rolls without slip inside a rough circular surface of radius R, as shown in Fig. 1.58. Derive the differential equation for the angular motion 8 by writing two equations of motion, one for the translation of C and one for the rotation of the disk about C, and then eliminating the force at the point of contact A. The angle 9 can be arbitrarily large. h 0 R FIGURE 1.58 Disk rolling without slip

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Heres how we can do that Write two equations of motion One for the translation of the center of the disk point C One for the rotation of the disk abou... View the full answer