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Problem2 A block of mass m is sliding over an inclined plane and is connected by a cable to a solid of fixed mass M. In a first experiment, an oil of viscosity μ₁ is used, resulting in a terminal velocity V₁ of the block. When an oil of viscosity μ₂ is used, the terminal velocity is V₂. Note that the block mass m, and the suspended mass M are the same in both experiments. a) Assuming a linear velocity profile in the gap between the bloc and the inclined plane, show that the ratio of the two viscosities is inversely proportional to that of the two speeds. b) When an oil of viscosity 0.1Pa.s is used, the terminal velocity is 20cm/s. Determine the value of the terminal velocity when a liquid with a viscosity twice that of the oil is used.

Problem2 A block of mass m is sliding over an inclined plane and is connected by a cable to a solid of fixed mass M. In a first experiment, an oil of viscosity μ₁ is used, resulting in a terminal velocity V₁ of the block. When an oil of viscosity μ₂ is used, the terminal velocity is V₂. Note that the block mass m, and the suspended mass M are the same in both experiments. a) Assuming a linear velocity profile in the gap between the bloc and the inclined plane, show that the ratio of the two viscosities is inversely proportional to that of the two speeds. b) When an oil of viscosity 0.1Pa.s is used, the terminal velocity is 20cm/s. Determine the value of the terminal velocity when a liquid with a viscosity twice that of the oil is used.

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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Problem2 A block of mass m is sliding over an inclined plane and is connected by a cable to a solid of fixed mass M. In a first experiment, an oil of viscosity μ₁ is used, resulting in a terminal velocity V₁ of the block. When an oil of viscosity μ₂ is used, the terminal velocity is V₂. Note that the block mass m, and the suspended mass M are the same in both experiments. a) Assuming a linear velocity profile in the gap between the bloc and the inclined plane, show that the ratio of the two viscosities is inversely proportional to that of the two speeds. b) When an oil of viscosity 0.1Pa.s is used, the terminal velocity is 20cm/s. Determine the value of the terminal velocity when a liquid with a viscosity twice that of the oil is used.
Transcribed Image Text:Problem2 A block of mass m is sliding over an inclined plane and is connected by a cable to a solid of fixed mass M. In a first experiment, an oil of viscosity μ₁ is used, resulting in a terminal velocity V₁ of the block. When an oil of viscosity μ₂ is used, the terminal velocity is V₂. Note that the block mass m, and the suspended mass M are the same in both experiments. a) Assuming a linear velocity profile in the gap between the bloc and the inclined plane, show that the ratio of the two viscosities is inversely proportional to that of the two speeds. b) When an oil of viscosity 0.1Pa.s is used, the terminal velocity is 20cm/s. Determine the value of the terminal velocity when a liquid with a viscosity twice that of the oil is used.
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