Answered: A stepped cylinder has the dimensions…

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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A stepped cylinder has the dimensions R₁ = 0.30 m, R₂ = 0.65 m, and the radius of gyration, k, is 0.35 m. The mass of the stepped cylinder is 100 kg. Weights A and B are connected to the cylinder. If weight B has a mass of 80 kg, and weight A has a mass of 50 kg, how far does A move in 5 seconds? In which direction does it move? (Draw all FBDs)

Expert Solution

Step 1: Given

The inner radius is $R subscript 1 equals 0.3 space m$ .

The outer radius is $R subscript 2 equals 0.65 space m$ .

The radius of gyration of cylinder is $k equals 0.35 space m$ .

The mass of cylinder is $M equals 100 space k g$ .

The mass of block A is $m subscript a equals 50 space k g$ .

The mass of cylinder B is $m subscript b equals 80 space k g$ .

The time duration is $t equals 5 space s$ .

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