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= 5. The double pulley shown is attached to a 10-mm-radius shaft that fits loosely in a fixed bearing. Knowing that the coefficient of static friction kinetic friction between the shaft and the poorly lubricated bearing are g = 0.35 and k 0.40 respectively, determine the magnitude of the force P (a) to just start raising the block (20 kg) and (b) to lower the block (20 kg) at a constant rate. Note: Neglect the weight of the pulleys. K 20 kg O 45 mm 90 mm

= 5. The double pulley shown is attached to a 10-mm-radius shaft that fits loosely in a fixed bearing. Knowing that the coefficient of static friction kinetic friction between the shaft and the poorly lubricated bearing are g = 0.35 and k 0.40 respectively, determine the magnitude of the force P (a) to just start raising the block (20 kg) and (b) to lower the block (20 kg) at a constant rate. Note: Neglect the weight of the pulleys. K 20 kg O 45 mm 90 mm

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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**Problem Statement:** The double pulley shown is attached to a 10-mm-radius shaft that fits loosely in a fixed bearing. Knowing that the coefficients of static and kinetic friction between the shaft and the poorly lubricated bearing are \(\mu_s = 0.35\) and \(\mu_k = 0.40\) respectively, determine the magnitude of the force \(P\) (a) to just start raising the block (20 kg) and (b) to lower the block (20 kg) at a constant rate. Note: Neglect the weight of the pulleys. **Diagram Explanation:** - The illustration depicts a double pulley system. - A shaft with a radius of 10 mm supports the pulley setup. - Two pulley radii are labeled: the smaller pulley has a radius of 45 mm, and the larger radius is 90 mm. - A 20 kg block hangs from the pulley. - A force \(P\) is applied downward on the rope extending from the pulley to control the movement of the block. This problem requires understanding of frictional forces and pulley mechanics to determine the necessary force to control the block’s movement.
Transcribed Image Text:**Problem Statement:** The double pulley shown is attached to a 10-mm-radius shaft that fits loosely in a fixed bearing. Knowing that the coefficients of static and kinetic friction between the shaft and the poorly lubricated bearing are \(\mu_s = 0.35\) and \(\mu_k = 0.40\) respectively, determine the magnitude of the force \(P\) (a) to just start raising the block (20 kg) and (b) to lower the block (20 kg) at a constant rate. Note: Neglect the weight of the pulleys. **Diagram Explanation:** - The illustration depicts a double pulley system. - A shaft with a radius of 10 mm supports the pulley setup. - Two pulley radii are labeled: the smaller pulley has a radius of 45 mm, and the larger radius is 90 mm. - A 20 kg block hangs from the pulley. - A force \(P\) is applied downward on the rope extending from the pulley to control the movement of the block. This problem requires understanding of frictional forces and pulley mechanics to determine the necessary force to control the block’s movement.
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