Home › NEET UG › Physics › Systems of Particles and Rotational Motion › Per NCERT §6.2, when the origin of coordinates i…
Per NCERT §6.2, when the origin of coordinates is chosen at the centre of mass, what does Σ m_i r_i equal?
AM times CM position
BHalf of total mass
CTotal moment of inertia
DZero
Answer & Solution
Correct answer: D. Zero
NCERT §6.2 / eqn 6.4d: by definition of CM, Σ m_i (r_i − R) = 0 ⇒ Σ m_i r_i = 0 if origin at CM.
Related questions
The radius of gyration relates the moment of inertia to the body's:The kinetic energy of a rolling body is the sum of translation and:Rotation about a fixed axis is directly analogous to:The parallel axes theorem adds to the centre of mass value the mass times:In the moment of inertia formula, r is the distance from the axis that is:The centre of gravity is where the total gravitational torque is:Rotational equilibrium requires the total external torque to be:Translational equilibrium requires the total external force to be: