Physics Fall Midterm Review
... Predict the final velocities of objects after collisions, given the initial velocities Identify different types of collisions Determine the changes in kinetic energy during perfectly inelastic collisions Compare conservation of momentum and conservation of kinetic energy in perfectly inelast ...
... Predict the final velocities of objects after collisions, given the initial velocities Identify different types of collisions Determine the changes in kinetic energy during perfectly inelastic collisions Compare conservation of momentum and conservation of kinetic energy in perfectly inelast ...
Class Notes
... An object's weight, W, acts perpendicular to the surface of the earth because the gravitational force acting on it is directed toward the center of the earth. W is represented with a vertical line drawn downward. If the object rests on an inclined plane, the weight can be resolved into two compo ...
... An object's weight, W, acts perpendicular to the surface of the earth because the gravitational force acting on it is directed toward the center of the earth. W is represented with a vertical line drawn downward. If the object rests on an inclined plane, the weight can be resolved into two compo ...
Chapter 3: The Basics of Classical Mechanics
... time and thus the Hamiltonian is not the total energy of the system. However, if the Lagrangian is not an explicit function of time, the Hamiltonian is still a constant of the motion. One standard way of proceeding with a classical mechanics problem is to find the Lagrangian by determining the poten ...
... time and thus the Hamiltonian is not the total energy of the system. However, if the Lagrangian is not an explicit function of time, the Hamiltonian is still a constant of the motion. One standard way of proceeding with a classical mechanics problem is to find the Lagrangian by determining the poten ...
force - the SASPhysics.com
... Combining forces • If several forces act on an object, we can work out the equivalent single resultant force by adding them up, taking direction into account. 3N • What is the resultant? – 4 newtons downwards 6N ...
... Combining forces • If several forces act on an object, we can work out the equivalent single resultant force by adding them up, taking direction into account. 3N • What is the resultant? – 4 newtons downwards 6N ...
Solutions for class #7 from Yosumism website Problem 44:
... One can derive the frequency of small oscillation for a rigid body in general by using the torque form of Newton's Laws: . (I is moment of inertia, r is moment arm) In this case, one has a constant downwards force , which acts at a moment arm angle . Thus, , where the approximation works if ...
... One can derive the frequency of small oscillation for a rigid body in general by using the torque form of Newton's Laws: . (I is moment of inertia, r is moment arm) In this case, one has a constant downwards force , which acts at a moment arm angle . Thus, , where the approximation works if ...
![PhysRozz Midterm 2012 [via06-07] Version 18](http://s1.studyres.com/store/data/014722455_1-33f5b15b25beb94441904fea997b655c-300x300.png)
PhysRozz Midterm 2012 [via06-07] Version 18
... A stream is 30. meters wide and its current flows southward at 1.5 meters per second. A toy boat is launched with a velocity of 2.0 meters per second eastward from the west bank of the stream. 19. What is the magnitude of the boat’s resultant velocity as it crosses the stream? 1) 2.5 m/s ...
... A stream is 30. meters wide and its current flows southward at 1.5 meters per second. A toy boat is launched with a velocity of 2.0 meters per second eastward from the west bank of the stream. 19. What is the magnitude of the boat’s resultant velocity as it crosses the stream? 1) 2.5 m/s ...
Angular Momentum FA#7--Angular Momentum
... (12) A playground carousel rotates freely, with a moment of inertia of 125 kgm2 (without riders). When a girl is standing on the carousel 1.50 m from the center, the carousel has an angular velocity of 0.60 rad/s. However, as the child moves inward to a point located 0.75 m from the center, the angu ...
... (12) A playground carousel rotates freely, with a moment of inertia of 125 kgm2 (without riders). When a girl is standing on the carousel 1.50 m from the center, the carousel has an angular velocity of 0.60 rad/s. However, as the child moves inward to a point located 0.75 m from the center, the angu ...
Newton's theorem of revolving orbits
In classical mechanics, Newton's theorem of revolving orbits identifies the type of central force needed to multiply the angular speed of a particle by a factor k without affecting its radial motion (Figures 1 and 2). Newton applied his theorem to understanding the overall rotation of orbits (apsidal precession, Figure 3) that is observed for the Moon and planets. The term ""radial motion"" signifies the motion towards or away from the center of force, whereas the angular motion is perpendicular to the radial motion.Isaac Newton derived this theorem in Propositions 43–45 of Book I of his Philosophiæ Naturalis Principia Mathematica, first published in 1687. In Proposition 43, he showed that the added force must be a central force, one whose magnitude depends only upon the distance r between the particle and a point fixed in space (the center). In Proposition 44, he derived a formula for the force, showing that it was an inverse-cube force, one that varies as the inverse cube of r. In Proposition 45 Newton extended his theorem to arbitrary central forces by assuming that the particle moved in nearly circular orbit.As noted by astrophysicist Subrahmanyan Chandrasekhar in his 1995 commentary on Newton's Principia, this theorem remained largely unknown and undeveloped for over three centuries. Since 1997, the theorem has been studied by Donald Lynden-Bell and collaborators. Its first exact extension came in 2000 with the work of Mahomed and Vawda.