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 O is Io = ml?. 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 = mãc, EMG = Içå, and EM, = 1,ã, at the instant shown, in terms of the coordinate system given in the figure. (Do not solve the eauations!)

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter7: Dry Friction
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m = 18kg and L = 1.28 m

The uniform bar has a mass m (given below) and length L (given
below). It is released from rest at an angle e 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 = māc, EM, = Içå, and
EM, = 1,å, at the instant shown, in terms of the coordinate
system given in the figure. (Do not solve the equations!)
G
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 e 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 = māc, EM, = Içå, and EM, = 1,å, at the instant shown, in terms of the coordinate system given in the figure. (Do not solve the equations!) G
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