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Question.01 Figure Q1 shows a uniform plank, rests upon a horizontal bench with one end of the bar projecting over the sharp edge of the bench, the bar being at right angles to this edge. The plank is pulled out of horizontally until the centre of gravity overhangs the edge by a distance a, and is then released. The plank rotates about the edge and then slides down. (a) Determine the angular velocity and angular acceleration of the plank after it has turned through an angle 0 degree assuming that no sliding has taken place. If the sliding begins when the plank has tuned through an angle a, show that the coefficient of friction, u, is (b) [(k? + 3a²) tan a. k? where k is the radius of gyration of the plank about its centre of gravity. a - G C== Figure Q1 A uniform plank resting upon a horizontal bench.

Question.01 Figure Q1 shows a uniform plank, rests upon a horizontal bench with one end of the bar projecting over the sharp edge of the bench, the bar being at right angles to this edge. The plank is pulled out of horizontally until the centre of gravity overhangs the edge by a distance a, and is then released. The plank rotates about the edge and then slides down. (a) Determine the angular velocity and angular acceleration of the plank after it has turned through an angle 0 degree assuming that no sliding has taken place. If the sliding begins when the plank has tuned through an angle a, show that the coefficient of friction, u, is (b) [(k? + 3a²) tan a. k? where k is the radius of gyration of the plank about its centre of gravity. a - G C== Figure Q1 A uniform plank resting upon a horizontal bench.

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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Figure Q1 shows a uniform plank, rests upon a horizontal bench with one end of the bar projecting over the sharp edge of the bench, the bar being at right angles to this edge.  The plank is pulled out of horizontally until the centre of gravity overhangs the edge by a distance a, and is then released.  The plank rotates about the edge and then slides down.

Question.01 Figure Q1 shows a uniform plank, rests upon a horizontal bench with one end of the bar projecting over the sharp edge of the bench, the bar being at right angles to this edge. The plank is pulled out of horizontally until the centre of gravity overhangs the edge by a distance a, and is then released. The plank rotates about the edge and then slides down. (a) Determine the angular velocity and angular acceleration of the plank after it has turned through an angle 0 degree assuming that no sliding has taken place. If the sliding begins when the plank has tuned through an angle a, show that the coefficient of friction, u, is (b) [(k? + 3a²) tan a. k? where k is the radius of gyration of the plank about its centre of gravity. a - G ロニニ Figure Q1 A uniform plank resting upon a horizontal bench.
Transcribed Image Text:Question.01 Figure Q1 shows a uniform plank, rests upon a horizontal bench with one end of the bar projecting over the sharp edge of the bench, the bar being at right angles to this edge. The plank is pulled out of horizontally until the centre of gravity overhangs the edge by a distance a, and is then released. The plank rotates about the edge and then slides down. (a) Determine the angular velocity and angular acceleration of the plank after it has turned through an angle 0 degree assuming that no sliding has taken place. If the sliding begins when the plank has tuned through an angle a, show that the coefficient of friction, u, is (b) [(k? + 3a²) tan a. k? where k is the radius of gyration of the plank about its centre of gravity. a - G ロニニ Figure Q1 A uniform plank resting upon a horizontal bench.
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