A telephone pole has been knocked over by the wind so that it makes an angle of 15 degrees with the vertical. The wind has stopped blowing and the pole is to be cut down as shown. Once the cut is across most of the thickness of the pole, the pole begins to tip over. As the pole tips, the bottom of the pole stays attached to the base by remaining part of the pole that was not cut (but torque from the base on the tipping pole negligible). There is a nail (of negligible mass) on the pole located at the distance x=73.9 m from the cut. The length of the pole form the cut to the top is L= 87 m. Remember that the moment of inertia of a stick of mass m and length L about its end is (1/3)mL^2. At what angle with respect to the vertical will the magnitude of the tangential acceleration of the nail be equal to g?
A telephone pole has been knocked over by the wind so that it makes an angle of 15 degrees with the vertical. The wind has stopped blowing and the pole is to be cut down as shown. Once the cut is across most of the thickness of the pole, the pole begins to tip over. As the pole tips, the bottom of the pole stays attached to the base by remaining part of the pole that was not cut (but torque from the base on the tipping pole negligible). There is a nail (of negligible mass) on the pole located at the distance x=73.9 m from the cut. The length of the pole form the cut to the top is L= 87 m. Remember that the moment of inertia of a stick of mass m and length L about its end is (1/3)mL^2. At what angle with respect to the vertical will the magnitude of the tangential acceleration of the nail be equal to g?
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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A telephone pole has been knocked over by the wind so that it makes an angle of 15 degrees with the vertical. The wind has stopped blowing and the pole is to be cut down as shown.
Once the cut is across most of the thickness of the pole, the pole begins to tip over. As the pole tips, the bottom of the pole stays attached to the base by remaining part of the pole that was not cut (but torque from the base on the tipping pole negligible). There is a nail (of negligible mass) on the pole located at the distance x=73.9 m from the cut. The length of the pole form the cut to the top is L= 87 m. Remember that the moment of inertia of a stick of mass m and length L about its end is (1/3)mL^2.
At what angle with respect to the vertical will the magnitude of the tangential acceleration of the nail be equal to g?
Transcribed Image Text:Dynamics of a falling pinned pole
A telephone pole has been knocked over by the wind so that it makes an angle of 0 = 15 degrees with the vertical.
The wind has stopped blowing and the pole is to be cut down as shown.
nail
7.
cut
Once the cut is across most of the thickness of the pole, the pole begins to tip over. As the pole tips, the bottom of
the pole stays attached to the base by the rnmining put of the pole that was ot cut (but the torque from the base
on the tipping pole is negligible). There is a nail (of negligible mass) on the pole located a distance r= 73.9 m from
the cut. The length of the pole from the cnt to the top isL= 87m. Ranember that the moment of inertia of a stick
of mass m and length L about its end is (1/3)mL.
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