9.26. If the total force acting on a system of particles is zero, show that the...

 

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9.26. If the total force acting on a system of particles is zero, show that the torque on the system is the same about all origins of different coordinate systems. 9.27. If the total linear momentum of a system of particles is zero, show that the angular momentum of the system is the same about all origins of different coordinate systems. 9.28. If T, is a funciton of 0 alone, then, starting from the equation dUdt = 1,0.= T, show that the sum of the kinetic and potential energies is constant. 9.26. If the total force acting on a system of particles is zero, show that the torque on the system is the same about all origins of different coordinate systems. 9.27. If the total linear momentum of a system of particles is zero, show that the angular momentum of the system is the same about all origins of different coordinate systems. 9.28. If T, is a funciton of 0 alone, then, starting from the equation dUdt = 1,0.= T, show that the sum of the kinetic and potential energies is constant.