Rotational Dynamics
... Equation: F·r = I·; the units for rotational inertia are kg·m2/rad2. Rotational inertia and legs: short legs have less rotational inertia than long legs. An animal with shorter legs has a quicker stride than one with long legs (same is true for pendulums). When running, we bend our legs to redu ...
... Equation: F·r = I·; the units for rotational inertia are kg·m2/rad2. Rotational inertia and legs: short legs have less rotational inertia than long legs. An animal with shorter legs has a quicker stride than one with long legs (same is true for pendulums). When running, we bend our legs to redu ...
chapt12_lecture_updated
... Vector Mechanics for Engineers: Dynamics Systems of Units • Of the units for the four primary dimensions (force, mass, length, and time), three may be chosen arbitrarily. The fourth must be compatible with Newton’s 2nd Law. • International System of Units (SI Units): base units are the units of leng ...
... Vector Mechanics for Engineers: Dynamics Systems of Units • Of the units for the four primary dimensions (force, mass, length, and time), three may be chosen arbitrarily. The fourth must be compatible with Newton’s 2nd Law. • International System of Units (SI Units): base units are the units of leng ...
Waves & Oscillations Physics 42200 Spring 2015 Semester
... Mechanics Lesson: Circular Motion • Linear motion: ...
... Mechanics Lesson: Circular Motion • Linear motion: ...
1 Section 1.1: Vectors Definition: A Vector is a quantity that has both
... Applications to Physics and Engineering: A force is represented by a vector because it has both magnitude (measured in pounds or newtons) and direction. If several forces are acting on an object, the resultant force experienced by the object is the vector sum of the forces. EXAMPLE 5: Ben walks due ...
... Applications to Physics and Engineering: A force is represented by a vector because it has both magnitude (measured in pounds or newtons) and direction. If several forces are acting on an object, the resultant force experienced by the object is the vector sum of the forces. EXAMPLE 5: Ben walks due ...
Chapter 5 Work and Energy conclusion
... The total linear momentum of an isolated system of masses is constant (conserved). An isolated system is one for which the sum of the average external forces acting on the system is zero. Most Important example ...
... The total linear momentum of an isolated system of masses is constant (conserved). An isolated system is one for which the sum of the average external forces acting on the system is zero. Most Important example ...
1 PHYSICS 231 Lecture 18: equilibrium & revision
... point in her swing, which of the following is true? A) The tension in the robe is equal to her weight B) The tension in the robe is equal to her mass times her acceleration C) Her acceleration is downward and equal to g (9.8 m/s2) D) Her acceleration is zero E) Her acceleration is equal to her veloc ...
... point in her swing, which of the following is true? A) The tension in the robe is equal to her weight B) The tension in the robe is equal to her mass times her acceleration C) Her acceleration is downward and equal to g (9.8 m/s2) D) Her acceleration is zero E) Her acceleration is equal to her veloc ...
PHY2053-S10 Exam II Chapters 6-10
... SHORT ANSWER. Partial credit is given even if the final answer is incorrect. So please show your work and include any assumption you make. Also make sure your final answer includes the poper units and has the appropriate number of significant figures. These questions are worth (15pts) 6) Two block ...
... SHORT ANSWER. Partial credit is given even if the final answer is incorrect. So please show your work and include any assumption you make. Also make sure your final answer includes the poper units and has the appropriate number of significant figures. These questions are worth (15pts) 6) Two block ...
Document
... Since acceleration is a vector and can be split up into components, those components affect the similar components of the velocity. The x-component of acceleration changes the x-component of the velocity. The y-component of acceleration changes the y-component of the velocity. ...
... Since acceleration is a vector and can be split up into components, those components affect the similar components of the velocity. The x-component of acceleration changes the x-component of the velocity. The y-component of acceleration changes the y-component of the velocity. ...
Chapter 8
... system is conserved when the net external torque acting on the systems is zero. That is, when 0, Li L f or Iii If f ...
... system is conserved when the net external torque acting on the systems is zero. That is, when 0, Li L f or Iii If f ...
Newton`s second law of motion
... Q: Define one newton force. One newton force is defined as the amount of force which produces an acceleration of 1m/s2 in a body of mass1 kg. Mathematical formulation of second law of motion or derive the equation F = ma. Suppose an object of mass “m” is moving along a straight line with an initial ...
... Q: Define one newton force. One newton force is defined as the amount of force which produces an acceleration of 1m/s2 in a body of mass1 kg. Mathematical formulation of second law of motion or derive the equation F = ma. Suppose an object of mass “m” is moving along a straight line with an initial ...
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.