Question

Please solve for me this question.

Define rigid bodies in details, Describe density and postions of center of mass.derive equation of motion of center of mass, Give Answer in details.

Answer 1

Rigid Body - A body is called urigid body If the position of the all Components particles of the body system dola'nt change by the exesting extemo force on the badlyn eig. a solid ion bald etc. 41 The 11 Mather concentrated in ginen space generate per Unil volume " is called density. mass of the system Centen in denity mass Volume ma of mass". We only can assume that center of Masst A virtual point which can concentrate wholo mass of the system or body is called "Center point, it not exist in reality. The position of this point may be outside the system cas CiMi of Ring, find in open space) OR be inside the system Cc.m. of rigid sphere at it's geometrical center). may

n' particles with mass mn. The tale have system of mi, m2, mz positions of masses in frame of reference 1, 2, - sin respectively. then the position Y of Centrof mass p m2 92 9 m3 z

Rua miri+m28zt- Marn mit met -tmn Roma E mir? (al M Wher Total mass of the System Now, It System is in motion then dRcm dt & midă M

De ç mivi TE (=1 Men = Z mivi ial Linear Momentum of center of mass P M Xen I mivi cin Hence The Center of mass point of a mass system, which can wheelo mass of the Cand the motion of the center of mass can express the motion of whole mass system.nl hold virtualy