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The spool of cable has a mass of m (100 kg) and a radius of gyration of k (0.77m). The tension in the cable T' is a function of time t (1.81 s). Neglect the mass of the unwound cable, and assume it is always at a constant radius. a.) What is the moment of Inertia of the spool? b.) What is the angular acceleration of the wheel at t (Use + for the ccw direction)? c.) How quickly is the cable being pulled at time t (Use + for to the right) in m/s?

The spool of cable has a mass of m (100 kg) and a radius of gyration of k (0.77m). The tension in the cable T' is a function of time t (1.81 s). Neglect the mass of the unwound cable, and assume it is always at a constant radius. a.) What is the moment of Inertia of the spool? b.) What is the angular acceleration of the wheel at t (Use + for the ccw direction)? c.) How quickly is the cable being pulled at time t (Use + for to the right) in m/s?

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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The spool of cable has a mass of m (100 kg) and a radius of gyration of k (0.77m). The tension in the cable T is a function of time t (1.81 s). Neglect the mass of the unwound cable, and assume it is always at a constant radius. a.) What is the moment of Inertia of the spool? b.) What is the angular acceleration of the wheel at t (Use + for the ccw direction)? c.) How quickly is the cable being pulled at time t (Use + for to the right) in m/s? do 1m T 30t + 77t N 0.5m di 8 = 60° h 2.25m
Transcribed Image Text:The spool of cable has a mass of m (100 kg) and a radius of gyration of k (0.77m). The tension in the cable T is a function of time t (1.81 s). Neglect the mass of the unwound cable, and assume it is always at a constant radius. a.) What is the moment of Inertia of the spool? b.) What is the angular acceleration of the wheel at t (Use + for the ccw direction)? c.) How quickly is the cable being pulled at time t (Use + for to the right) in m/s? do 1m T 30t + 77t N 0.5m di 8 = 60° h 2.25m
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