m = 18 kg and L = 1.28 m The uniform bar has a mass m (given below) and length L (givenbelow). It is released from rest at an angle 0 as shown. Themoment of inertia of the rod about the pin point 0 is I, =-ml².Neglect friction at 0.a) Determine the radius of gyration of the rod about the masscenter G.b) Draw the free-body diagram of the rod at the instant shown.c) Write the equations of motion, EF = māc, EM, = Içã, andEM, = 1,ã, at the instant shown, in terms of the coordinatesystem 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 instantwhen 0 = 30°. [Solve the equations in part (c)!]GHint: Up to part (d), do not insert numbers (study parametrically). In part (d), insert numbers anduse ãc = ão + ả x°c0 – w?Fcj0 to connect the linear and angular quantities.Note: Take m and L as

Moment of inertia is the body's capability to resist the angular motion. It is given by the product…

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 O 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 = 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 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

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 O 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 = 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 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

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter10: Fixed-axis Rotation

Section: Chapter Questions

Problem 95P: A uniform rod of mass and length is held vertically by two strings of negligible mass, as shown...

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