PHYS 1007 Lecture Notes - Lecture 14: Moment Of Inertia, Linear System
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Centre of mass: point at which, all the mass of a body can be taken to act at: for symmetrical bodies: uniform density: this is the geometric centre, for non-symmetrical bodies. M i i x i: ind the formula by balancing the torque. F is the force, and l is the lever arm length. Lever arm should be only the part perpendicular to the line of acion of the force (so use cosl) v=rw: rotaional ke = n. All parts of rotating bodies have same angular velocity. 2 i r is the radius from the axis of rotaion to each litle cut up part of a body. I distribuion of masses about the axis of rotaion. Formula for rotaional ineria on exams will be supplied! so for a thing ring: Since the radius to the centre from every point on the ring is the exact same. Total kineic energy is the sum of linear ke and rotaional ke.