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Aug 21, 2018 at 15:32 comment added joojaa @user11206 it is considered to be a more complex particle called a rigid body. Its sill just one mathematical thing. Everything is reduced to one point still.
Aug 21, 2018 at 9:15 vote accept user11206
Aug 21, 2018 at 9:14 comment added user11206 What you say about SHM makes sense for linear systems as you point out. Is this why we have topics on kinematics of particles for which we say that rotation about mass centre is neglected? When we have a rigid body like a disc turning on a shaft and we write the equation of motion $J\ddot{\theta} + k\theta=0$, the disc is then assumed to consist of many particles but with each particle without any rotation about its own axis? Is this correct?
Aug 21, 2018 at 7:52 history answered alephzero CC BY-SA 4.0