A rod of length 30.0 cm has linear density (mass per length) given by λ = 50.0 + 20.0x where x is the distance from one end, measured in meters, and λ is in grams/meter.
(a) What is the mass of the rod?
(b) How far from the x = 0 end is its center of mass?
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Center of Mass By Integration concept. If you need more Center of Mass By Integration practice, you can also practice Center of Mass By Integration practice problems.
How long does this problem take to solve?
Our expert Physics tutor, Julia took 5 minutes and 31 seconds to solve this problem. You can follow their steps in the video explanation above.
What textbook is this problem found in?
Our data indicates that this problem or a close variation was asked in Physics for Scientists and Engineers - Serway Calc 9th Edition. You can also practice Physics for Scientists and Engineers - Serway Calc 9th Edition practice problems.