Advanced Classical Mechanics Lecture Notes
... We could solve the constraints to eliminate the coordinate y(t) = ± R2 − x2 (t), but the sign ambiguity is a nuisance. But in passing to polar coordinates x = ρ cos ϕ, y = ρ sin ϕ, we see that the constraint is simply ρ = R, and ϕ gives a perfectly natural and unambiguous description of the particle ...
... We could solve the constraints to eliminate the coordinate y(t) = ± R2 − x2 (t), but the sign ambiguity is a nuisance. But in passing to polar coordinates x = ρ cos ϕ, y = ρ sin ϕ, we see that the constraint is simply ρ = R, and ϕ gives a perfectly natural and unambiguous description of the particle ...
AP Physics Pacing Curriculum
... should include uniform circular motion and projectile motion. 4.C.1 The energy of a system includes its kinetic energy, potential energy, and microscopic internal energy. Examples should include gravitational potential energy, elastic potential energy, and kinetic energy. 4.C.1.1 The student is abl ...
... should include uniform circular motion and projectile motion. 4.C.1 The energy of a system includes its kinetic energy, potential energy, and microscopic internal energy. Examples should include gravitational potential energy, elastic potential energy, and kinetic energy. 4.C.1.1 The student is abl ...
Conservation of Linear Momentum
... by considering the di↵erence in momentum between an initial and final state, assuming a small amount of fuel was burned. Obtain the same result by showing that the total momentum is constant. Assume the rate of fuel burn is constant and equal to ṁ. Solution: At any given moment the total momentum o ...
... by considering the di↵erence in momentum between an initial and final state, assuming a small amount of fuel was burned. Obtain the same result by showing that the total momentum is constant. Assume the rate of fuel burn is constant and equal to ṁ. Solution: At any given moment the total momentum o ...
Momentum - Net Start Class
... Newton's Cradle demonstration Collisions and Impulse In a collision of two ordinary objects, both objects are deformed. When the collision occurs, the force jumps from zero at the moment of contact to a very large quantity and back to zero. This occurs over a very brief instant of time. Impulse is u ...
... Newton's Cradle demonstration Collisions and Impulse In a collision of two ordinary objects, both objects are deformed. When the collision occurs, the force jumps from zero at the moment of contact to a very large quantity and back to zero. This occurs over a very brief instant of time. Impulse is u ...
Unit III, Functions
... Other types of functions called the hyperbolic functions defined below plays fundamental roles in various disciplines, in particular in integrating some special types of integrals. Definition 3.8 Let t be a real number. The hyperbolic cosine of t, denoted cosh t and the hyperbolic sine of t, denoted ...
... Other types of functions called the hyperbolic functions defined below plays fundamental roles in various disciplines, in particular in integrating some special types of integrals. Definition 3.8 Let t be a real number. The hyperbolic cosine of t, denoted cosh t and the hyperbolic sine of t, denoted ...
