The 150 kg spool below is initially at rest and has a radius of gyration of k=0.5 m. The force Pis applied at B and causes the spool to begin rotating. The rope attached to point A does not slip at its contact point with the spool, meaning that point is an instantaneous center of zero velocity as shown. However, the bottom of the spool slips against the ground, causing a frictional force which acts to the right. After 5 s the angular velocity of the spool is-27 rad/s (using the coordinate system shown, meaning the spool rotates in the clockwise direction). Based on this information: a) Find the moment of inertia of the spool at the instantaneous center of zero velocity. b) Calculate the frictional force exerted on the spool by the ground. c) Using the principal of angular impulse and momentum, determine the coefficient of kinetic friction, Ar, between the bottom of the spool and the ground.

The 150 kg spool below is initially at rest and has a radius of gyration of k=0.5 m. The force Pis applied at B and causes the spool to begin rotating. The rope attached to point A does not slip at its contact point with the spool, meaning that point is an instantaneous center of zero velocity as shown. However, the bottom of the spool slips against the ground, causing a frictional force which acts to the right. After 5 s the angular velocity of the spool is-27 rad/s (using the coordinate system shown, meaning the spool rotates in the clockwise direction). Based on this information: a) Find the moment of inertia of the spool at the instantaneous center of zero velocity. b) Calculate the frictional force exerted on the spool by the ground. c) Using the principal of angular impulse and momentum, determine the coefficient of kinetic friction, Ar, between the bottom of the spool and the ground.

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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