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The uniform bar has a mass m (given below) and length L (given below). It is released from rest at an angle 0 as shown. The moment of inertia of the rod about the pin point 0 is Io =;mL². Neglect friction at 0. a) Determine the radius of gyration of the rod about the mass center G. b) Draw the free-body diagram of the rod at the instant shown. c) Write the equations of motion, EF = måc, EMc = Içå, and EM, = Ioå, at the instant shown, in terms of the coordinate system given in the figure. (Do not solve the equations!) ml?. %3D

The uniform bar has a mass m (given below) and length L (given below). It is released from rest at an angle 0 as shown. The moment of inertia of the rod about the pin point 0 is Io =;mL². Neglect friction at 0. a) Determine the radius of gyration of the rod about the mass center G. b) Draw the free-body diagram of the rod at the instant shown. c) Write the equations of motion, EF = måc, EMc = Içå, and EM, = Ioå, at the instant shown, in terms of the coordinate system given in the figure. (Do not solve the equations!) ml?. %3D

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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m=17kg

L=7.60m

The uniform bar has a mass m (given below) and length L (given below). It is released from rest at an angle 0 as shown. The moment of inertia of the rod about the pin point 0 is Io =÷ML². Neglect friction at 0. a) Determine the radius of gyration of the rod about the mass center G. b) Draw the free-body diagram of the rod at the instant shown. c) Write the equations of motion, EF = måc, EMG = Içå, and EM, = Ioå, at the instant shown, in terms of the coordinate system given in the figure. (Do not solve the equations!) d) Determine the angular acceleration of the rod and the support reactions at 0 at the instant when 0 = 30°. [Solve the equations in part (c)!] G Hint: Up to part (d), do not insert numbers (study parametrically). In part (d), insert numbers and use åc = ảo + ả x ¡G/0 – w?¯G/o to connect the linear and angular quantities.
Transcribed Image Text:The uniform bar has a mass m (given below) and length L (given below). It is released from rest at an angle 0 as shown. The moment of inertia of the rod about the pin point 0 is Io =÷ML². Neglect friction at 0. a) Determine the radius of gyration of the rod about the mass center G. b) Draw the free-body diagram of the rod at the instant shown. c) Write the equations of motion, EF = måc, EMG = Içå, and EM, = Ioå, at the instant shown, in terms of the coordinate system given in the figure. (Do not solve the equations!) d) Determine the angular acceleration of the rod and the support reactions at 0 at the instant when 0 = 30°. [Solve the equations in part (c)!] G Hint: Up to part (d), do not insert numbers (study parametrically). In part (d), insert numbers and use åc = ảo + ả x ¡G/0 – w?¯G/o to connect the linear and angular quantities.
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