Answered: Question 1 A large block of mass 1100…

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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Transcribed Image Text:Throughout, take the acceleration due to gravity to be 10 m/s? and water to have density of 1000 kg/m³. Question 1 A large block of mass 1100 kg is towed at a constant speed UB up an inclined plane at 6° to the horizontal, as shown in Fig. 1. The towing force applied on the block has magnitude 1165 N. The block slides over an oil film with a constant thickness of 3 mm. The oil has density 900 kg/m and dynamic viscosity 0.1 Pa.s. The area of the block in contact with the oil is 15 m2. UB F=1165 N m=1100 kg oil film 3 mm contact area: 15 m² 6° Figure 1 (i) Sketch, with appropriate labels, the forces acting on the block in the direction parallel to the inclined plane. (ii) Determine the magnitude of the drag force acting on the bottom surface of the block. (iii) Assuming a laminar velocity profile in the oil film, determine the speed of the block Ug. (iv) Verify that the flow of oil is laminar as assumed in (iii). (v) Determine the power requirement to tow the block. (vi) To reduce the towing force F, it is proposed to increase the thickness of the oil film. Discuss the usefulness and practicality of this strategy.

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