12 The 40-kg disk A with a radius of 0.5 m and the 30-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 0.1. Neglecting the mass of pulleys and the mass of the cord and assuming that the cord does not slipover 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.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter7: Dry Friction
Section: Chapter Questions
Problem 7.16P: The mass of the unbalanced disk is m, and its center of gravity is located at G. If the coefficient...
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The 40-kg disk A with a radius of 0.5 m and the 30-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 0.1. 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:B The 40-kg disk A with a radius of 0.5 m and the 30-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 0.1. 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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