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Work and Energy_ppt_RevW10
... motion (rest or constant velocity) unless acted upon by a net external force. • Second Law: The action of a net external force on an object is to cause its momentum to change with time. For objects with a constant mass this can be written as F = ma. • Third Law: Any object which exerts a force on an ...
... motion (rest or constant velocity) unless acted upon by a net external force. • Second Law: The action of a net external force on an object is to cause its momentum to change with time. For objects with a constant mass this can be written as F = ma. • Third Law: Any object which exerts a force on an ...
3.3 Projectile Motion
... Thus, in uniform circular motion there must be a net force to produce the centripetal acceleration. The centripetal force is the name given to the net force required to keep an object moving on a circular path. The direction of the centripetal force always points toward the center of the circle and ...
... Thus, in uniform circular motion there must be a net force to produce the centripetal acceleration. The centripetal force is the name given to the net force required to keep an object moving on a circular path. The direction of the centripetal force always points toward the center of the circle and ...
Force and Motion Sections 3.1-3.7
... Weight = related to the force of gravity Earth: weight = mass x acc. due to gravity w = mg (special case of F = ma) Weight is a force due to the pull of gravity. • Therefore, one’s weight changes due to changing pull of gravity – like between the Earth and Moon. • Moon’s gravity is only 1/6th that o ...
... Weight = related to the force of gravity Earth: weight = mass x acc. due to gravity w = mg (special case of F = ma) Weight is a force due to the pull of gravity. • Therefore, one’s weight changes due to changing pull of gravity – like between the Earth and Moon. • Moon’s gravity is only 1/6th that o ...
momentum
... Newton’s first law explains that objects in motion “want” to stay in motion. But just how much do moving objects wish to stay in motion? Does a 1 kg skate moving at 10 m/s “want” to stay in motion as much as a 10,000 kg truck moving at the same speed? To answer, think about which one would be harde ...
... Newton’s first law explains that objects in motion “want” to stay in motion. But just how much do moving objects wish to stay in motion? Does a 1 kg skate moving at 10 m/s “want” to stay in motion as much as a 10,000 kg truck moving at the same speed? To answer, think about which one would be harde ...
Chapter 7 Rotational Motion 7.1 Angular Quantities Homework # 51
... 03. A 0.875-kg solid ball is tied to a string and rotated in a circle of radius 0.925 m. A force of air resistance of 0.0245 N acts as the ball rotates. a.) What is the moment of inertia of the ball? b.) What torque must be applied to the ball to keep it rotating at a constant angular velocity? 04. ...
... 03. A 0.875-kg solid ball is tied to a string and rotated in a circle of radius 0.925 m. A force of air resistance of 0.0245 N acts as the ball rotates. a.) What is the moment of inertia of the ball? b.) What torque must be applied to the ball to keep it rotating at a constant angular velocity? 04. ...
Chapter 8, Part V
... • Rigid body rotation: (KE)rot = (½)Iω2 • Now, consider a rigid body, mass M, rotating (angular velocity ω) about an axis through the CM. At the same time, the CM is translating with velocity vCM – Example, a wheel rolling without friction. For this, we saw earlier that vCM = rω. ...
... • Rigid body rotation: (KE)rot = (½)Iω2 • Now, consider a rigid body, mass M, rotating (angular velocity ω) about an axis through the CM. At the same time, the CM is translating with velocity vCM – Example, a wheel rolling without friction. For this, we saw earlier that vCM = rω. ...
V p
... Ask yourself if you are justified in “zeroing out” Jext. If the answer is yes, do it! To be safe, somewhere in your solution you might want to make a note why you zeroed out Jext. I may not demand a reason for zeroing out Jext as part of your solution. But don’t zero out Jext unless it is justified! ...
... Ask yourself if you are justified in “zeroing out” Jext. If the answer is yes, do it! To be safe, somewhere in your solution you might want to make a note why you zeroed out Jext. I may not demand a reason for zeroing out Jext as part of your solution. But don’t zero out Jext unless it is justified! ...
Only external forces affect the motion of the center of mass
... m2 which was traveling due east. After the collision the two vehicles move off together at an angle θ north of east. The driver of the car claimed that the truck driver was at fault because he was exceeding the speed limit, going with a velocity v1. If this were true, what was the car’s initial velo ...
... m2 which was traveling due east. After the collision the two vehicles move off together at an angle θ north of east. The driver of the car claimed that the truck driver was at fault because he was exceeding the speed limit, going with a velocity v1. If this were true, what was the car’s initial velo ...
sessnn9
... Similarly to the displacement, the positive quantity x m is called the velocity amplitude v m . So then the velocity of the particle can vary between the values of - v m and + v m . The acceleration We know that the acceleration of a particle is simply the derivative, with respect to time, of the v ...
... Similarly to the displacement, the positive quantity x m is called the velocity amplitude v m . So then the velocity of the particle can vary between the values of - v m and + v m . The acceleration We know that the acceleration of a particle is simply the derivative, with respect to time, of the v ...
phys1441-spring13-040313
... We’ve been solving physical problems treating objects as sizeless points with masses, but in realistic situations objects have shapes with masses distributed throughout the body. Center of mass of a system is the average position of the system’s mass and represents the motion of the system as if all ...
... We’ve been solving physical problems treating objects as sizeless points with masses, but in realistic situations objects have shapes with masses distributed throughout the body. Center of mass of a system is the average position of the system’s mass and represents the motion of the system as if all ...
Multiple Choice Conceptual Questions
... 10 times as great as for a stiff legged landing. In this way the average force your body experiences is (a) less than 1/10 as great (b) more than 1/10 as great (c) about 1/10 as great (d) about 10 times as great 14) When you are in the way of a fast moving object and can't get out of its way, you wi ...
... 10 times as great as for a stiff legged landing. In this way the average force your body experiences is (a) less than 1/10 as great (b) more than 1/10 as great (c) about 1/10 as great (d) about 10 times as great 14) When you are in the way of a fast moving object and can't get out of its way, you wi ...
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.