An inelastic cord is anchored at point B at the top of a 20 degree slope as the cord is unwound from a spool rolling downhill under the influence of its own weight. The mass of the spool is 200 kg, with inner hub radius R, = 0.4 m and an outer flange radius of R, = 0.6 m. The radius of gyration of the spool about its mass center is ko = 0.27 m. The coefficient of kinetic friction between the slope and the spool rim is , = 0.2. The cord does not slip on the spool. Find the mass center's velocity 10 s after the spool has been B DRAR released from rest. (Answer: 16.7 m/s down the incline)

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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An inelastic cord is anchored at point B at the top of a 20
degree slope as the cord is unwound from a spool rolling
downhill under the influence of its own weight. The mass of
the spool is 200 kg, with inner hub radius R, = 0.4 m and an
outer flange radius of R. 0.6 m. The radius of gyration of
the spool about its mass center is kç = 0.27 m. The
coefficient of kinetic friction between the slope and the
spool rim is , = 0.2. The cord does not slip on the spool.
Find the mass center's velocity 10 s after the spool has been
B
DRAR
released from rest.
(Answer: 16.7 m/s down the incline)
Transcribed Image Text:An inelastic cord is anchored at point B at the top of a 20 degree slope as the cord is unwound from a spool rolling downhill under the influence of its own weight. The mass of the spool is 200 kg, with inner hub radius R, = 0.4 m and an outer flange radius of R. 0.6 m. The radius of gyration of the spool about its mass center is kç = 0.27 m. The coefficient of kinetic friction between the slope and the spool rim is , = 0.2. The cord does not slip on the spool. Find the mass center's velocity 10 s after the spool has been B DRAR released from rest. (Answer: 16.7 m/s down the incline)
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