Find the location of the center of mass of a nonuniform rod 40cm in length if its density varies linearly from 1 g/cm at one end to 5 g/cm at the other end. Specify the center of mass location relative to the less massive end of the rod. Leave the values in g and cm.
Find the location of the center of mass of a nonuniform rod 40cm in length if its density varies linearly from 1 g/cm at one end to 5 g/cm at the other end. Specify the center of mass location relative to the less massive end of the rod. Leave the values in g and cm.
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Find the location of the center of mass of a nonuniform rod 40cm in length if its density varies linearly from 1 g/cm at one end to 5 g/cm at the other end. Specify the center of mass location relative to the less massive end of the rod. Leave the values in g and cm.
a) Find the mass of the rod in grams
Hint: Find an expression for the linear density in terms of x. Remember that linear density is M/L so that could be interpreted as the slope of a graph
b) Where is the center of mass of the rod (in cm)?
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