You and your lab partner are conducting the Centripetal Force Lab with the goal of determining the mass of an unknown object as it travels in a circular path.  Following the procedure perfomed in class and listed below, you attach your unknown mass to the string, run it through the PVC pipe and attach it to a known hanging mass of 350 g.   You spin your unknown mass horizontally and determine an average period t= 0.286 s and a radius of the circular path r = 0.2 m.  Answer the following:   a).(20 pts) Draw a free body diagram of the hanging mass.   b) (20 pts)Determine the force of tension in the string using your free-body diagram above. c) (30 pts)Draw the free-body diagram for the unknown mass (assume the string is horizontal). d) (30 pts) Determine the tangential velocity v(m/s) of the unknown mass using the radius and period of the circular spin.   e) (50 pts) Set the force of tension (N) in the string equal to the centripetal force equation, rearrange the terms to solve for mass and determine the mass (in grams g) of the unknown object (assume the string is horizontal).

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
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You and your lab partner are conducting the Centripetal Force Lab with the goal of determining the mass of an unknown object as it travels in a circular path.  Following the procedure perfomed in class and listed below, you attach your unknown mass to the string, run it through the PVC pipe and attach it to a known hanging mass of 350 g.   You spin your unknown mass horizontally and determine an average period t= 0.286 s and a radius of the circular path r = 0.2 m.  Answer the following:

 
a).(20 pts) Draw a free body diagram of the hanging mass.
 
b) (20 pts)Determine the force of tension in the string using your free-body diagram above.

c) (30 pts)Draw the free-body diagram for the unknown mass (assume the string is horizontal).

d) (30 pts) Determine the tangential velocity v(m/s) of the unknown mass using the radius and period of the circular spin.
 
e) (50 pts) Set the force of tension (N) in the string equal to the centripetal force equation, rearrange the terms to solve for mass and determine the mass (in grams g) of the unknown object (assume the string is horizontal).
 
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