Need physics help with non-uniform rod inertia and KE

Nov 20th, 2015
Anonymous
Category:
Science
Price: $10 USD

Question description

A thin rod of length L = 2.85 m lies along the x-axis with one end at the origin. The rod has a non-uniform density given by λ(x) = γx3, where γ = 0.50 kg/m4.

Find the total mass of the rod.
M = _____kg

Find the location of the center of mass of the rod.
XCM = _____m

Find the moment of inertia of the rod about an axis passing through the center of mass of the rod.
I = _______kg-m2

If the rod is spinning about an axis through the center of mass with angular speed ω = 5.00 rad/s, what is the kinetic energy of the rod?
K =______ J

Tutor Answer

(Top Tutor) psumanrec
School: Purdue University
PREMIUM TUTOR

Studypool has helped 1,244,100 students

Review from student
Anonymous
" Top quality work from this guy! I'll be back! "
Ask your homework questions. Receive quality answers!

Type your question here (or upload an image)

1829 tutors are online

Brown University





1271 Tutors

California Institute of Technology




2131 Tutors

Carnegie Mellon University




982 Tutors

Columbia University





1256 Tutors

Dartmouth University





2113 Tutors

Emory University





2279 Tutors

Harvard University





599 Tutors

Massachusetts Institute of Technology



2319 Tutors

New York University





1645 Tutors

Notre Dam University





1911 Tutors

Oklahoma University





2122 Tutors

Pennsylvania State University





932 Tutors

Princeton University





1211 Tutors

Stanford University





983 Tutors

University of California





1282 Tutors

Oxford University





123 Tutors

Yale University





2325 Tutors