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### Assignment8_2006

Course: PHY 180, Fall 2009
School: Toledo
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Word Count: 262

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180 PHYSICS Problem set #8 due: November 22, 2006 The real danger is not that computers will begin to think like people, but that people will begin to think like computers. S. J. Harris 1) A 0.3 kg thin metre stick is resting on a frictionless surface when it is struck by a small clay ball of mass 0.05 kg moving at a speed of 1 m/s and in a direction perpendicular to the stick. If the clay ball sticks at the 75...

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180 PHYSICS Problem set #8 due: November 22, 2006 The real danger is not that computers will begin to think like people, but that people will begin to think like computers. S. J. Harris 1) A 0.3 kg thin metre stick is resting on a frictionless surface when it is struck by a small clay ball of mass 0.05 kg moving at a speed of 1 m/s and in a direction perpendicular to the stick. If the clay ball sticks at the 75 cm mark, determine, i) the kinetic energy of the stick/clay afterwards; ii) the angular velocity of the metre stick after the collision. 2) Show that the total angular momentum of a system with mass M about any point, P, can be written as the sum of the angular momentum about the center of mass (spin angular momentum) the plus angular momentum of the center of mass (with mass M) about P (orbital angular momentum). 3) A uniform disc of radius R can be hung from a horizontal axis at a distance h from its centre so that it can oscillate in its own vertical plane. Determine the period of small oscillations and the value of h for which this period is a minimum. 4. Two springs of force constant 500 N/m are attached to either side of an axle which p...

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