Consider a disc of mass, M with radius 0.5 m on a slope with angle 45 degrees to the horizontal. It has a good grip on the slope and does not slip. The disc is constructed so that its mass per unit area, ρ(r) = r1/2 kg m−2, with r being the radial distance in metres from the axis of the disc.What is the equation describing the linear acceleration of the centre of mass of the disc down the slope in terms of the angular acceleration of the disc.

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Answered: Consider a disc of mass, M with radius…

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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Consider a disc of mass, M with radius 0.5 m on a slope with angle 45 degrees to the horizontal. It has a good grip on the slope and does not slip. The disc is constructed so that its mass per unit area, ρ(r) = r^1/2 kg m⁻², with r being the radial distance in metres from the axis of the disc.

What is the equation describing the linear acceleration of the centre of mass of the disc down the slope in terms of the angular acceleration of the disc.

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