Chapter 8, Problem 20P

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

Chapter
Section

### College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

# A meter stick is found to balance at the 49.7-cm mark when placed on a fulcrum. When a 50.0-gram mass is attached at the 10.0-cm mark, the fulcrum must be moved to the 39.2-cm mark for balance. What is the mass of the meter stick?

To determine
The mass of the meter stick.

Explanation

Given info: The mass attached at the mark of the meter stick is 50.0â€‰g , the location of the center of mass of the meter stick without any mass attached is 49.7â€‰cm , the new location of the center of mass of the meter stick after attaching the mass is 39.2â€‰cm , and the acceleration due to gravity is 9.80â€‰m/s2 .

Explanation: The center of gravity of the meter stick is identified by placing it on the fulcrum and the new center of gravity of the meter stick with a mass on it is located at some other point in the mark of the stick. From the condition of static torque, the mass of the meter stick is determined such that âˆ‘Ï„=0=(lcm"âˆ’l)mgâˆ’(lcm'âˆ’lcm")Mg .

The formula for the mass of the meter stick is,

M=(lcm"âˆ’l)(lcm'âˆ’lcm")m

• lcm" is the new location of the center of mass of the meter stick with mass

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