A spool has an inner radius p = 1.85 m and an outer radius R = 2.35 m. The mass of the spool is 250 kg and its radius of gyration kG is 2.1 m. A cable wound around the spool is attached at the top of an incline of angle 0 = 32° and the spool is being lowered down the incline as shown in the figure below. The coefficients of static and kinetic friction between the spool and the incline are us= 0.45 and μ = 0.40. a) Find the acceleration of the center G of the spool b) Find the angular acceleration of the spool c) Find the tension in the cable

A spool has an inner radius p = 1.85 m and an outer radius R = 2.35 m. The mass of the spool is 250 kg and its radius of gyration kG is 2.1 m. A cable wound around the spool is attached at the top of an incline of angle 0 = 32° and the spool is being lowered down the incline as shown in the figure below. The coefficients of static and kinetic friction between the spool and the incline are us= 0.45 and μ = 0.40. a) Find the acceleration of the center G of the spool b) Find the angular acceleration of the spool c) Find the tension in the cable

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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Concept explainers

Power Transmission Elements

It is defined as the energy transfer from one location to another location. The energy will start moving from the energy generation source to the energy applied position to obtain the work output. From this method, a large amount of electric energy moves from the power station to various electrical substations.

Question

Problem 1:
A spool has an inner radius p = 1.85 m and an outer radius R = 2.35 m. The mass of the
spool is 250 kg and its radius of gyration kG is 2.1 m. A cable wound around the spool is
attached at the top of an incline of angle 0 = 32° and the spool is being lowered down the
incline as shown in the figure below. The coefficients of static and kinetic friction
between the spool and the incline are μs = 0.45 and μ = 0.40.
a) Find the acceleration of the center G of the spool
b) Find the angular acceleration of the spool
c) Find the tension in the cable
R
G
Hint: show that the spool must slip while rolling down the incline.

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