Physics 218 Lecture 22. Dr. David Toback. Checklist for Today. Things due Monday Chapters 12 & 13 in WebCT Things that are due Tuesday Read Chapters 14-16 Things that were due yesterday Chapter 14 problems Read Lab hand out on webpage Things due next Monday Chapter 14 in WebCT
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-Conservation of angular momentum -Relation between conservation laws & symmetries. Lect 4. Rotation. Rotation. d 2. d 1. The ants moved different distances: d 1 is less than d 2. Rotation. q. q 2. q 1. Both ants moved the Same angle: q 1 = q 2 (= q ).
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Physics 218 Lecture 23. Dr. David Toback. Checklist for Today. Things due Monday Chapter 14 in WebCT Things that were due yesterday Chapter 15 problems as Recitation Prep Things due next Monday Chapter 15 & 16 in WebCT Next week Chapter 18 reading. The Schedule. This Week (4/14)
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Physics 121. 8. Rotational Motion. 8.1 Angular Quantities 8.2 Kinematic Equations 8.3 Rolling Motion 8.4 Torque 8.5 Rotational Inertia 8.6 Problem Solving Techniques 8.7 Rotational Kinetic Energy 8.8 Conservation of Angular Momentum.
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Angular Mechanics - Torque and moment of inertia Contents: Review Linear and angular Qtys Tangential Relationships Angular Kinematics Torque Example | Whiteboard Moment of Inertia D D Example | Whiteboard Torque and Moment of inertia Example | Whiteboard.
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Percutaneous Therapy of Pulmonic and Mitral Valve Disease. Atman P. Shah MD FACC FSCAI Director, Coronary Care Unit Assistant Professor of Medicine The University of Chicago February 4th, 2012. Disclosures. Consultant: St. Jude Medical, Abiomed, Medtronic Cardiovascular, Regenerx
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Torque is a twist or turn that tends to produce rotation. * * * Applications are found in many common tools around the home or industry where it is necessary to turn, tighten or loosen devices. Definition of Torque. Torque is defined as the tendency to produce a change in rotational motion.
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Applied Physics. Contents. Rotational Dynamics Thermodynamics & Engines. Rotational Dynamics. Angular velocity : the angle of a circle (arc) mapped out by a rotating object per second: ? = ? s -1 Angular displacement : ? Angular velocity : ? = ? t -1
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Sect. 6.6: Damped, Driven Pendulum. Consider a plane pendulum subject to an an applied torque N & subject to damping by the viscosity ? of the medium (say, air) in which it swings . Mass m . See figure: The angle of swing ? is allowed in the entire range: - ? ? ? ? ?
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Problem 31. Find the moments of inertia about the x & y axes: m = 1.8 kg, M = 3.1 kg. Problem 40. m each blade = 160 kg . Moment of inertia I ? Starts from rest, torque ? to get ? = 5 rev/s ( 10 ? rad/s ) in t = 8 s ?. Example 8-11. M = 4 kg, F T = 15 N
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Angular Momentum. Conservation of Angular momentum. Angular Momentum. L = r x p = r x m v Magnitude L = rpsin? = rmvsin? Derivative of angular momentum dL/dt = (dr/dt x mv) +(r x m dv/dt) = (v x mv) + (r x ma) = r x F = torque. dL/dt = r x F or dL/dt = tau or torque
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Sect. 11.3: Angular Momentum Rotating Rigid Object. Translation-Rotation Analogues & Connections. Translation Rotation Displacement x ? Velocity v ? Acceleration a ? Force (Torque) F ? Mass (moment of inertia) m I
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Angular Momentum. Inertia and Velocity. In the law of action we began with mass and acceleration F = ma This was generalized to use momentum: p = mv. Moment of Momentum. To continue the analysis of rotational motion, we must also extend the idea of momentum. p. r. Applying Torque.
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Physics 1A, Section 2. November 11, 2010. Translation / Rotation. Quiz Problem 25. Quiz Problem 25. Answer: a) T = a(mR 2 + I )/[R(R-r)] f = a( I + mrR)/[R(R-r)] b) m min = a(kR + r)/[g(R-r)] c) rolls to the right. Moment of Inertia. Moments: 0 th moment: ?dm = mass
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Angular Motion. The radian was defined for circular motion. There are 2 p radians in a complete circle. The distance around a circle is s = r q. Angle vs. Position. Dq. q. r. The angular displacement is Dq. Angular Velocity. Velocity has an angular equivalent. Linear velocity ( v )
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Angular Momentum. Inertia and Velocity. In the law of action we began with mass and acceleration F = ma This was generalized to use momentum: p = mv. Moment of Momentum. To continue the analysis of rotational motion, we must also extend the idea of momentum. p. r. Law of Angular Inertia.
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