A 9-kg and 1.5-m uniform bar is pivoted at O and connected to a 3-kN/m spring at the midpoint. The spring is unstretched and the bar is vertically at rest. A 0.9-kg particle flies at 25 m/s, impacts and sticks to the top end of the bar. k a) Determine the angular speed of the bar just after impact. Someone claims the gravitational potential energy can be ignored when the system starts to vibrate after impact, and only kinetic and elastic potential energies need to be considered for the energy method. Do you agree? b) Determine the natural angular frequency of the vibration in the vertical plane after impact. C) Determine the reaction forces by the pivot on the bar when it passes through the vertical position during the vibration.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Must answer all 3 questions. Dont attempt partially. 

A 9-kg and 1.5-m uniform bar is pivoted at O and connected to a 3-kN/m spring at the midpoint.
The spring is unstretched and the bar is vertically at rest. A 0.9-kg particle flies at 25 m/s, impacts
and sticks to the top end of the bar.
k
a) Determine the angular speed of the bar just after impact.
Someone claims the gravitational potential energy can be ignored when the system starts to
vibrate after impact, and only kinetic and elastic potential energies need to be considered for the
energy method. Do you agree?
b) Determine the natural angular frequency of the vibration in the vertical plane after impact.
c) Determine the reaction forces by the pivot on the bar when it passes through the vertical
position during the vibration.
Transcribed Image Text:A 9-kg and 1.5-m uniform bar is pivoted at O and connected to a 3-kN/m spring at the midpoint. The spring is unstretched and the bar is vertically at rest. A 0.9-kg particle flies at 25 m/s, impacts and sticks to the top end of the bar. k a) Determine the angular speed of the bar just after impact. Someone claims the gravitational potential energy can be ignored when the system starts to vibrate after impact, and only kinetic and elastic potential energies need to be considered for the energy method. Do you agree? b) Determine the natural angular frequency of the vibration in the vertical plane after impact. c) Determine the reaction forces by the pivot on the bar when it passes through the vertical position during the vibration.
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