Question: A spool with a thread wound on it is placed on an inclined smooth plane set at an angle a = 30° to the horizontal.

A spool with a thread wound on it is placed on an inclined smooth plane set at an angle a = 30° to the horizontal. The free end of the thread is attached to the wall as shown in Fig. 1.61. The mass of the spool is m = 200 g, its moment of inertia relative to its own axis I = 0.45 g.m2, the radius of the wound thread layer r = 3.0 cm. Find the acceleration of the spool axis.

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