A hollow cylinder with inner radius R, outer radius 2R and mass M rolls without slipping with centre speed v. Its total kinetic energy is (n/16)Mv². Find n.

Question

G1 Physics · Accepted Answer

Write translation ΣF=Ma and rotation Στ about CM=I about CMα, together with the no-slip relation v of CM=ωR and a of CM=αR whenever pure rolling applies. Solving the equations for the shown geometry gives 13.