The 40-kg disk A with a radius of 0.4 m and the 25-kg crate B is attached to each other using the cable and pulley system shown in the figure. The coefficient of kinetic friction between the crate and the inclined plane, and between the disk and the inclined plane is 0.25. Neglecting the mass of pulleys and the mass of the cord and assuming that the cord does not slip over the pulleys. Determine the acceleration of the block B when the system is released, if the disk rolls without slipping. Also, calculate the tension in the cable and the angular acceleration of the disk at that instant.

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The 40-kg disk A with a radius of 0.4 m and the 25-kg crate B is attached to each other using the cable and pulley system
shown in the figure. The coefficient of kinetic friction between the crate and the inclined plane, and between the disk
and the inclined plane is 0.25. Neglecting the mass of pulleys and the mass of the cord and assuming that the cord does
not slip over the pulleys. Determine the acceleration of the block B when the system is released, if the disk rolls without
slipping. Also, calculate the tension in the cable and the angular acceleration of the disk at that instant.
Transcribed Image Text:The 40-kg disk A with a radius of 0.4 m and the 25-kg crate B is attached to each other using the cable and pulley system shown in the figure. The coefficient of kinetic friction between the crate and the inclined plane, and between the disk and the inclined plane is 0.25. Neglecting the mass of pulleys and the mass of the cord and assuming that the cord does not slip over the pulleys. Determine the acceleration of the block B when the system is released, if the disk rolls without slipping. Also, calculate the tension in the cable and the angular acceleration of the disk at that instant.
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