alleryTotal kinetic energy of a body rolling without slipping is:
AJust ½ M v²_cm
BJust ½ I ω²
C½ M v²_cm + ½ I_cm ω²
DM v²_cm + I_cm ω²
Answer & Solution
Correct answer: C. ½ M v²_cm + ½ I_cm ω²
1. Pure rolling: motion = translation of CM + rotation about CM.
2. KE_trans = ½ M v²_cm.
3. KE_rot = ½ I_cm ω².
4. Total KE = ½ M v²_cm + ½ I_cm ω². Constraint v_cm = ω R links the two.
_Source: syllabus Physics Ch 6 §6.13 Kinetic Energy of Rolling_
Keep practising System of Particles and Rotational Motion
Browse all System of Particles and Rotational Motion questions for AP Intermediate 1st Year, or explore more Physics topics.
Related questions
Moment of inertia depends on the mass, the axis, and the body's:The parameter measuring how a rotating body's mass is distributed about the axis is the raThe equation relating load arm and effort arm expresses the principle of:For translational equilibrium, the sum of force components along two perpendicular axes muIf the total external torque on a system is zero, what is conserved?The time rate of change of angular momentum of a particle equals the:A flywheel's large moment of inertia lets it resist sudden changes in:Total angular momentum of a system is found by adding the individual angular momenta: