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Unit 5 - Youngstown City Schools
... Although a full computer lab is recommended, this activity may be undertaken with one computer per group (with students in groups fulfilling the individual roles). This activity can be easily modified for more advanced classes by removing a given item or two, requiring the students to work through s ...
... Although a full computer lab is recommended, this activity may be undertaken with one computer per group (with students in groups fulfilling the individual roles). This activity can be easily modified for more advanced classes by removing a given item or two, requiring the students to work through s ...
Lecture 03: Rotational Dynamics II: 2nd Law
... Rotational Kinetic Energy There is an analogy between the kinetic energies associated with linear motion (K = ½ mv 2) and the kinetic energy associated with rotational motion (KR= ½ Iw2) Rotational kinetic energy is not a new type of energy, the form is different because it is applied to a rotati ...
... Rotational Kinetic Energy There is an analogy between the kinetic energies associated with linear motion (K = ½ mv 2) and the kinetic energy associated with rotational motion (KR= ½ Iw2) Rotational kinetic energy is not a new type of energy, the form is different because it is applied to a rotati ...
ppt
... A. Its speed is constant after a short time. B. Its speed increases proportional to time. C. Its speed increases proportional to time squared. ...
... A. Its speed is constant after a short time. B. Its speed increases proportional to time. C. Its speed increases proportional to time squared. ...
Diapositiva 1
... d) The weight of the three glasses is the same. e) The weight of the glass containing just water is smaller than the weights of the other two glasses. P3. The initial level of the water in the system shown in the figure is indicated by A. The cylinder C is held in a fixed position (it cannot move). ...
... d) The weight of the three glasses is the same. e) The weight of the glass containing just water is smaller than the weights of the other two glasses. P3. The initial level of the water in the system shown in the figure is indicated by A. The cylinder C is held in a fixed position (it cannot move). ...
Kinematics - Conroe High School
... radius becomes greater and she has a greater momentum of inertia. A greater momentum of inertia causes her to have less ω due to conservation of momentum. If her new I is greater, her new ω must be smaller. ...
... radius becomes greater and she has a greater momentum of inertia. A greater momentum of inertia causes her to have less ω due to conservation of momentum. If her new I is greater, her new ω must be smaller. ...
Impulse and Momentum
... Impulse is the Area Since J=Ft, Impulse is the AREA of a Force vs. Time graph. ...
... Impulse is the Area Since J=Ft, Impulse is the AREA of a Force vs. Time graph. ...
Lecture 20
... moving, and often small, objects. Example, a bullet is fired, and we want to see if it intersects a wall. However, if we examine every time frame, because the bullet moves very fast, even though at some point in time it intersects the wall, we may only sample it in front of the wall and behind it, b ...
... moving, and often small, objects. Example, a bullet is fired, and we want to see if it intersects a wall. However, if we examine every time frame, because the bullet moves very fast, even though at some point in time it intersects the wall, we may only sample it in front of the wall and behind it, b ...
Rotation
... In fact, (8) holds for non-circular motion, but the proof requires more effort; see Section 2.4. Equation (8) is the rotational analogue of the momentum principle for translational motion: force = rate of change of momentum For single particles the angular-momentum equation offers no advantage over ...
... In fact, (8) holds for non-circular motion, but the proof requires more effort; see Section 2.4. Equation (8) is the rotational analogue of the momentum principle for translational motion: force = rate of change of momentum For single particles the angular-momentum equation offers no advantage over ...
Systems of Particles
... • Suppose you are standing on the edge of a dock and jump straight down. If you land on sand your stopping time is much shorter than if you land on water. Using the impulse–momentum theorem as a guide, determine which one of the following statements is correct. a.In bringing you to a halt, the sand ...
... • Suppose you are standing on the edge of a dock and jump straight down. If you land on sand your stopping time is much shorter than if you land on water. Using the impulse–momentum theorem as a guide, determine which one of the following statements is correct. a.In bringing you to a halt, the sand ...
100 Lec11 06
... A translational force like gravity acts like the total force is F g mi acting downward at the C. G./C. M. i ...
... A translational force like gravity acts like the total force is F g mi acting downward at the C. G./C. M. i ...
Impulse, Momentum,Work & Energy
... Impulse causes a change in momentum. Impulse-Momentum Theorem F∆t = ∆p Linear momentum is defined as the product of mass x velocity p = m∆v Finkster '07 ...
... Impulse causes a change in momentum. Impulse-Momentum Theorem F∆t = ∆p Linear momentum is defined as the product of mass x velocity p = m∆v Finkster '07 ...
Chapter 6: Momentum
... • How can the momentum of an object be changed? By changing its mass, or, more usually, its velocity – i.e. by causing an acceleration. What causes acceleration? A force But the time over which the force acts, is also important e.g. If trying to get a broken down car moving, and you push tremendousl ...
... • How can the momentum of an object be changed? By changing its mass, or, more usually, its velocity – i.e. by causing an acceleration. What causes acceleration? A force But the time over which the force acts, is also important e.g. If trying to get a broken down car moving, and you push tremendousl ...
Relativistic angular momentum
""Angular momentum tensor"" redirects to here.In physics, relativistic angular momentum refers to the mathematical formalisms and physical concepts that define angular momentum in special relativity (SR) and general relativity (GR). The relativistic quantity is subtly different from the three-dimensional quantity in classical mechanics.Angular momentum is a dynamical quantity derived from position and momentum, and is important; angular momentum is a measure of an object's ""amount of rotational motion"" and resistance to stop rotating. Also, in the same way momentum conservation corresponds to translational symmetry, angular momentum conservation corresponds to rotational symmetry – the connection between symmetries and conservation laws is made by Noether's theorem. While these concepts were originally discovered in classical mechanics – they are also true and significant in special and general relativity. In terms of abstract algebra; the invariance of angular momentum, four-momentum, and other symmetries in spacetime, are described by the Poincaré group and Lorentz group.Physical quantities which remain separate in classical physics are naturally combined in SR and GR by enforcing the postulates of relativity, an appealing characteristic. Most notably; space and time coordinates combine into the four-position, and energy and momentum combine into the four-momentum. These four-vectors depend on the frame of reference used, and change under Lorentz transformations to other inertial frames or accelerated frames.Relativistic angular momentum is less obvious. The classical definition of angular momentum is the cross product of position x with momentum p to obtain a pseudovector x×p, or alternatively as the exterior product to obtain a second order antisymmetric tensor x∧p. What does this combine with, if anything? There is another vector quantity not often discussed – it is the time-varying moment of mass (not the moment of inertia) related to the boost of the centre of mass of the system, and this combines with the classical angular momentum to form an antisymmetric tensor of second order. For rotating mass–energy distributions (such as gyroscopes, planets, stars, and black holes) instead of point-like particles, the angular momentum tensor is expressed in terms of the stress–energy tensor of the rotating object.In special relativity alone, in the rest frame of a spinning object; there is an intrinsic angular momentum analogous to the ""spin"" in quantum mechanics and relativistic quantum mechanics, although for an extended body rather than a point particle. In relativistic quantum mechanics, elementary particles have spin and this is an additional contribution to the orbital angular momentum operator, yielding the total angular momentum tensor operator. In any case, the intrinsic ""spin"" addition to the orbital angular momentum of an object can be expressed in terms of the Pauli–Lubanski pseudovector.