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lecture15 - Centre of Mass Centre of Mass Centre of Gravity...

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1 Physics 1D03 Centre of Mass Serway 12.1-12.3; and parts of 9.5 Centre of Mass, Centre of Gravity Rigid-body equilibrium Practice problems: Chapter 9, problems 37, 38 Chapter 12, problems 1, 3, 6, 9, 11, 17. Physics 1D03 - Lecture 27 5 Equilibrium of a Particle The vector sum of forces acting on a body in equilibrium is zero. 0 = = a F m Equilibrium: no motion (no acceleration ). Newton’s 2 nd Law, This leads to 3 independent equations (e.g., for x, y, z components); or 2 equations in 2-D problems. For a particle, this is the whole story.
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2 Physics 1D03 - Lecture 27 7 Equilibrium of a Rigid Body 0 = Σ F 1) a = 0 (no translational acceleration), so (no net force) 0 = Σ τ 2) α = 0 (no angular acceleration), so (no net torque) Net external forces and net external torque must be zero for a body in equilibrium. Physics 1D03 The uniform beam (weight 4.00 N, length L) is supported by a pin at one end, and a scale that can be placed anywhere along the beam. What will the scale read if it is scale a) at the end of the beam (shown)?
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