[{"data":1,"prerenderedAt":52},["ShallowReactive",2],{"topic-en-theoretical-mechanics\u002Fdynamics\u002Fdynamics-of-mechanical-systems":3},{"topic":4,"trail":13,"children":23,"tasks":48,"alternates":49},{"id":5,"name":6,"locale":7,"path":8,"seo_title":6,"seo_description":9,"seo_text":10,"content_html":11,"content_chunks":12},295,"Dynamics of Mechanical Systems","en","theoretical-mechanics\u002Fdynamics\u002Fdynamics-of-mechanical-systems","Center of mass, momentum, angular momentum, kinetic energy, and general dynamics theorems for mechanical systems.","This section covers the dynamics of systems of particles, including center-of-mass motion, momentum, angular momentum, and kinetic-energy theorems.","\u003Cp>\u003Cstrong>Dynamics of mechanical systems\u003C\u002Fstrong> extends particle dynamics to systems of interacting particles and rigid bodies. Instead of analyzing every particle separately, integral characteristics of the entire system are often used.\u003C\u002Fp>\u003Ch2>Center of mass\u003C\u002Fh2>\u003Cp>The center of mass is determined by the mass distribution. Its motion is governed by the resultant external force; internal forces do not change the motion of the center of mass of the complete system.\u003C\u002Fp>\u003Ch2>Momentum and angular momentum\u003C\u002Fh2>\u003Cp>Total linear momentum characterizes the translational aspect of system motion, while angular momentum characterizes rotational motion about a point or axis. Their change theorems connect these quantities to external forces and moments.\u003C\u002Fp>\u003Ch2>Kinetic energy of a system\u003C\u002Fh2>\u003Cp>The kinetic energy of a mechanical system is the sum of the kinetic energies of its particles. The work-energy theorem relates its change to force work and is a powerful method for analyzing complex systems.\u003C\u002Fp>",[],[14,18,22],{"id":15,"name":16,"path":17},81,"Theoretical Mechanics","theoretical-mechanics",{"id":19,"name":20,"path":21},138,"Dynamics","theoretical-mechanics\u002Fdynamics",{"id":5,"name":6,"path":8},[24,28,32,36,40,44],{"id":25,"name":26,"path":27},258,"Dynamics of a Mechanical System. Center of Mass","theoretical-mechanics\u002Fdynamics\u002Fdynamics-of-mechanical-systems\u002Fdynamics-of-a-mechanical-system-center-of-mass",{"id":29,"name":30,"path":31},259,"Theorem on the Motion of the Center of Mass","theoretical-mechanics\u002Fdynamics\u002Fdynamics-of-mechanical-systems\u002Ftheorem-on-motion-of-center-of-mass",{"id":33,"name":34,"path":35},261,"Impulse-Momentum Theorem for a Mechanical System","theoretical-mechanics\u002Fdynamics\u002Fdynamics-of-mechanical-systems\u002Fimpulse-momentum-theorem-mechanical-system",{"id":37,"name":38,"path":39},262,"Angular-Momentum Theorem for a Mechanical System","theoretical-mechanics\u002Fdynamics\u002Fdynamics-of-mechanical-systems\u002Fangular-momentum-theorem-mechanical-system",{"id":41,"name":42,"path":43},263,"Kinetic Energy of a Mechanical System","theoretical-mechanics\u002Fdynamics\u002Fdynamics-of-mechanical-systems\u002Fkinetic-energy-of-a-mechanical-system",{"id":45,"name":46,"path":47},264,"Work-Energy Theorem for a Mechanical System","theoretical-mechanics\u002Fdynamics\u002Fdynamics-of-mechanical-systems\u002Fwork-energy-theorem-mechanical-system",[],{"en":50,"uk":51},"https:\u002F\u002Fmechclassroom.com\u002Fen\u002Ftopics\u002Ftheoretical-mechanics\u002Fdynamics\u002Fdynamics-of-mechanical-systems","https:\u002F\u002Fmechclassroom.com\u002Ftopics\u002Fteoretychna-mekhanika\u002Fdynamika\u002Fdynamika-mekhanichnoi-systemy",1787712537303]