![Work-Kinetic Energy Theorem for Rotational Motion](http://s1.studyres.com/store/data/009725522_1-fd6ba0799ada70131a1b0f8c5eab2f8d-300x300.png)
Chapter 8 – Momentum, Impulse, and Collisions
... We have been dealing with particles where the size and shape were unimportant. We now take into account the size and shape. The first idea to examine is the center of mass of the object. If you apply Newton’s Second Law to all of the particles that make up an object, then a point on the object can b ...
... We have been dealing with particles where the size and shape were unimportant. We now take into account the size and shape. The first idea to examine is the center of mass of the object. If you apply Newton’s Second Law to all of the particles that make up an object, then a point on the object can b ...
vector - MACscience
... All objects accelerate towards the ground at (-) 10ms-2 because of gravity when dropped. This acceleration is fairly constant at the Earth’s surface, but varies at great altitudes or on other planets. Gravity is always an attractive force unlike magnetism or electric ...
... All objects accelerate towards the ground at (-) 10ms-2 because of gravity when dropped. This acceleration is fairly constant at the Earth’s surface, but varies at great altitudes or on other planets. Gravity is always an attractive force unlike magnetism or electric ...
Mechanics notes
... All objects accelerate towards the ground at (-) 10ms-2 because of gravity when dropped. This acceleration is fairly constant at the Earth’s surface, but varies at great altitudes or on other planets. Gravity is always an attractive force unlike magnetism or electric ...
... All objects accelerate towards the ground at (-) 10ms-2 because of gravity when dropped. This acceleration is fairly constant at the Earth’s surface, but varies at great altitudes or on other planets. Gravity is always an attractive force unlike magnetism or electric ...
AOCS
... 2. The center of mass of the spinner should be as close to the bearing axis as possible. 3. The bearing axis should be the principal axis of the spinning part to prevent forced oscillations and nutation due to center of mass offset and cross products of inertia of the spinner. 4. The spinner should ...
... 2. The center of mass of the spinner should be as close to the bearing axis as possible. 3. The bearing axis should be the principal axis of the spinning part to prevent forced oscillations and nutation due to center of mass offset and cross products of inertia of the spinner. 4. The spinner should ...
vector - Haiku
... • Graphically, a vector is represented by an arrow, defining the direction, and the length of the arrow defines the vector's magnitude. This is shown above. If we denote one end of the arrow by the origin O and the tip of the arrow by Q. Then the vector may be represented algebraically by OQ. ...
... • Graphically, a vector is represented by an arrow, defining the direction, and the length of the arrow defines the vector's magnitude. This is shown above. If we denote one end of the arrow by the origin O and the tip of the arrow by Q. Then the vector may be represented algebraically by OQ. ...
Momentum and Collisions
... For a system in which mass is not a constant, such as rocket propulsion, the momentum form should be used. ...
... For a system in which mass is not a constant, such as rocket propulsion, the momentum form should be used. ...
Ch7 notes
... Units of angular acceleration are rad/s² Positive angular accelerations are in the counterclockwise direction and negative accelerations are in the clockwise direction When a rigid object rotates about a fixed axis, every portion of the object has the same angular speed and the same angular ac ...
... Units of angular acceleration are rad/s² Positive angular accelerations are in the counterclockwise direction and negative accelerations are in the clockwise direction When a rigid object rotates about a fixed axis, every portion of the object has the same angular speed and the same angular ac ...
PHYS 1114: Physics I
... measured counterclockwise (ccw) from the positive x-axis. Angle is defined as θ = s/r, where s is the arc length, r is the radius, and θ is the angle in radians. Also expressed as s=rθ" Angular distance, Δθ = θ - θo is measured in degrees or radians. A radian is the angle that subtends an arc ...
... measured counterclockwise (ccw) from the positive x-axis. Angle is defined as θ = s/r, where s is the arc length, r is the radius, and θ is the angle in radians. Also expressed as s=rθ" Angular distance, Δθ = θ - θo is measured in degrees or radians. A radian is the angle that subtends an arc ...
Dynamic forces - Physics Champion
... level track 36km/hr when it collides with and couples up to another coach of mass 20t moving in the same direction at 6km/hr. Both of the coaches continue in the same direction after coupling. What is the combined velocity of the two coaches? ...
... level track 36km/hr when it collides with and couples up to another coach of mass 20t moving in the same direction at 6km/hr. Both of the coaches continue in the same direction after coupling. What is the combined velocity of the two coaches? ...
Conceptual Physics
... a. If the bowling ball rolls into a pillow and stops in 0.5 sec, calculate the average force it exerts on the pillow. b. What average force does the pillow exert on the ball? 100. What is the momentum of a 100 lbs carton that slides at 4 m/sec across an icy surface? The sliding carton skids onto a r ...
... a. If the bowling ball rolls into a pillow and stops in 0.5 sec, calculate the average force it exerts on the pillow. b. What average force does the pillow exert on the ball? 100. What is the momentum of a 100 lbs carton that slides at 4 m/sec across an icy surface? The sliding carton skids onto a r ...
Momentum and Impulse
... A golf ball of mass 50 g is hit off the tee at 30 ms-1. The time of contact between club and ball is 25 ms (milliseconds). Calculate the average force exerted on the ball. m 50 g 0.05 kg u 0 ms -1 ...
... A golf ball of mass 50 g is hit off the tee at 30 ms-1. The time of contact between club and ball is 25 ms (milliseconds). Calculate the average force exerted on the ball. m 50 g 0.05 kg u 0 ms -1 ...
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.