Lecture 7.3 1. Angular Momentum
... they have zero torques. If the person pulls his/her arms in, he/she will reduce the moment of inertia. Indeed the same mass is now distributed closer to the rotational axis. Since the angular momentum of the system should stay the same this will result in the increase of the angular speed of rotatio ...
... they have zero torques. If the person pulls his/her arms in, he/she will reduce the moment of inertia. Indeed the same mass is now distributed closer to the rotational axis. Since the angular momentum of the system should stay the same this will result in the increase of the angular speed of rotatio ...
THEORETICAL SUBJECTS General Physics Course –Part I 1 term
... 1) Define a wave and give some examples. What is a mechanical wave? Define and make graphical representation for a transverse and a longitudinal wave. Define the wave front and classify waves as a function of the shape of the wave front. Give some common characteristics of waves, independent of thei ...
... 1) Define a wave and give some examples. What is a mechanical wave? Define and make graphical representation for a transverse and a longitudinal wave. Define the wave front and classify waves as a function of the shape of the wave front. Give some common characteristics of waves, independent of thei ...
Introduction to Classical Mechanics 1 HISTORY
... A Comment on Vectors. For two- or three-dimensional motion, the position, velocity, and accleration are all vectors— mathematical quantities with both magnitude and direction. We will denote vectors by boldface symbols, e.g., x for position, v for velocity, and a for acceleration. In hand-written eq ...
... A Comment on Vectors. For two- or three-dimensional motion, the position, velocity, and accleration are all vectors— mathematical quantities with both magnitude and direction. We will denote vectors by boldface symbols, e.g., x for position, v for velocity, and a for acceleration. In hand-written eq ...
FE1 MOTION
... In general, velocity is a vector quantity because it has direction. Note that the three components of a velocity are scalar quantities. Components themselves do not have direction, but they can take positive or negative values. In physics the magnitude of a velocity is called speed and, since it is ...
... In general, velocity is a vector quantity because it has direction. Note that the three components of a velocity are scalar quantities. Components themselves do not have direction, but they can take positive or negative values. In physics the magnitude of a velocity is called speed and, since it is ...
Rotary
... Thus, the angular acceleration is the rate of change of the angular velocity, just as acceleration is the rate of change of velocity. The translational acceleration of a point on the object rotating is given by ...
... Thus, the angular acceleration is the rate of change of the angular velocity, just as acceleration is the rate of change of velocity. The translational acceleration of a point on the object rotating is given by ...
Variational Principles and Lagrangian Mechanics
... physics (degrees of freedom, masses, potentials, etc. ) of the system being considered. We shall see examples of action functionals soon. In a classical limit (usually when various parameters characterizing the system are in some sense “macroscopic”) it can be shown that the dominant paths in the su ...
... physics (degrees of freedom, masses, potentials, etc. ) of the system being considered. We shall see examples of action functionals soon. In a classical limit (usually when various parameters characterizing the system are in some sense “macroscopic”) it can be shown that the dominant paths in the su ...
Pitt County Schools
... for it to be in static equilibrium? What must be true about the net force acting on an object for it to be in equilibrium? ...
... for it to be in static equilibrium? What must be true about the net force acting on an object for it to be in equilibrium? ...
Circular Motion
... This shows us acceleration due to gravity only depends on the mass of the gravitational source, not the object affected! A field is a region of influence that surrounds an object A field exists as long as there is a source A force is the effect of an external field on an object that enters i ...
... This shows us acceleration due to gravity only depends on the mass of the gravitational source, not the object affected! A field is a region of influence that surrounds an object A field exists as long as there is a source A force is the effect of an external field on an object that enters i ...
week09.1.suspensions
... fast will a 50 mm particle of density 1.3 g/cm3 settle in water ( = 1.0 cP)? How fast will it settle in a 2 w/v% methylcellulose solution of viscosity = 120 cP? How fast will it settle if you reduce its particle size to 10 mm? ...
... fast will a 50 mm particle of density 1.3 g/cm3 settle in water ( = 1.0 cP)? How fast will it settle in a 2 w/v% methylcellulose solution of viscosity = 120 cP? How fast will it settle if you reduce its particle size to 10 mm? ...
2008 Exam with Solution
... 1. The robot arm is elevating and extending simultaneously. At a given instant, θ = 30 o , θ& = 10 deg/ s = constant, l = 0.5m , l& = 0.2m / s , and &l& = −0.3m / s 2 . Compute the magnitudes of the velocity v and acceleration a of the gripped part P. In addition, express v and a in terms of the uni ...
... 1. The robot arm is elevating and extending simultaneously. At a given instant, θ = 30 o , θ& = 10 deg/ s = constant, l = 0.5m , l& = 0.2m / s , and &l& = −0.3m / s 2 . Compute the magnitudes of the velocity v and acceleration a of the gripped part P. In addition, express v and a in terms of the uni ...
Activity P06: Acceleration Due to Gravity
... when the echoes come back. One-half of the MOTION SENSOR round trip time is the time that it took for the ultrasound to reach the object. Since ultrasound travels at the speed of sound, or about 344 meters per second (or about 700 miles per hour), the program figures out how far away the object is a ...
... when the echoes come back. One-half of the MOTION SENSOR round trip time is the time that it took for the ultrasound to reach the object. Since ultrasound travels at the speed of sound, or about 344 meters per second (or about 700 miles per hour), the program figures out how far away the object is a ...
Brownian motion
Brownian motion or pedesis (from Greek: πήδησις /pˈɪːdiːsis/ ""leaping"") is the random motion of particles suspended in a fluid (a liquid or a gas) resulting from their collision with the quick atoms or molecules in the gas or liquid. Wiener Process refers to the mathematical model used to describe such Brownian Motion, which is often called a particle theoryThis transport phenomenon is named after the botanist Robert Brown. In 1827, while looking through a microscope at particles trapped in cavities inside pollen grains in water, he noted that the particles moved through the water but was not able to determine the mechanisms that caused this motion. Atoms and molecules had long been theorized as the constituents of matter, and many decades later, Albert Einstein published a paper in 1905 that explained in precise detail how the motion that Brown had observed was a result of the pollen being moved by individual water molecules. This explanation of Brownian motion served as definitive confirmation that atoms and molecules actually exist, and was further verified experimentally by Jean Perrin in 1908. Perrin was awarded the Nobel Prize in Physics in 1926 ""for his work on the discontinuous structure of matter"" (Einstein had received the award five years earlier ""for his services to theoretical physics"" with specific citation of different research). The direction of the force of atomic bombardment is constantly changing, and at different times the particle is hit more on one side than another, leading to the seemingly random nature of the motion.The mathematical model of Brownian motion has numerous real-world applications. For instance, Stock market fluctuations are often cited, although Benoit Mandelbrot rejected its applicability to stock price movements in part because these are discontinuous.Brownian motion is among the simplest of the continuous-time stochastic (or probabilistic) processes, and it is a limit of both simpler and more complicated stochastic processes (see random walk and Donsker's theorem). This universality is closely related to the universality of the normal distribution. In both cases, it is often mathematical convenience, rather than the accuracy of the models, that motivates their use.