Describes the advantages of mathematical modeling approach in teaching applied mathematics and gives many suggestions for suitable material which illustrates the links between real problems and mathematics. (GA)

Constructs a theory, using Aristotelian lines of thought, to explain Galileo's assumed experimental results that all bodies fall at the same rate, ragardless of their weight. (GA)

Shows how the quantization of a Hamiltonian which is not canonically related to the energy is ambiguous and thereby results in conflicting physical interpretations. Concludes that only the Hamiltonian corresponding to the total energy of a classical system or one canonically related to it is suitable for consistent quantization. (GA)

Presents an exact solution to the nonlinear Faraday's law problem of a rod sliding on frictionless rails with resistance. Compares the results with perturbation calculations based on the methods of Poisson and Pincare and of Kryloff and Bogoliuboff. (Author/GA)

Shows how to extend Wigner distribution functions, and Weyl correspondence between quantum and classical variables, from the usual kind of canonically conjugate position and momentum operators to the case of an angle and angular momentum operator pair. (Author/GA)

Explains that the quantal state describes a statistical ensemble of similar systems identically prepared, and is not to be identified with any single system. Shows how to determine empirically the general quantum state by calculations involving only the measured mean values of a set of observables called a "Quorum." (Author/GA)

Explains how to demonstrate the fundamentals of one dimensional kinematics such as Newton's third law of motion, and collision between bodies, using simple materials of marbles, strings, sticky tape, drinking straws, and rubber bands. (GA)

Discusses some errors found in certain elementary physics textbooks, specifically the propagation of waves in a rope tied to another rope of different linear density. (GA)

Presents a derivation of Kepler's first law of planetary motion from Newtonian principles. Analogus derivations of the hyperbolic and parabolic orbits of nonreturning comets and the hyperbolic orbit for a particle in a repulsive inverse-square field are also presented. (HM)

Investigates the behavior of a simple pendulum attached to a fixed point inside a satellite moving in a circular orbit about the earth. It is found that the number of equilibrium positions depends on the length of the pendulum and the location of the point of attachment. (HM)

Discusses the physics involved in a falling elevator and whether an occupant of a falling elevator will be unharmed if he jumps up as the elevator crashes. (MLH)

Describes a student experiment in which a pendulum is swung through angles up to 160 degrees by suspending it on a solid rod. Graphical analysis is used for empirically determining parameters. (MLH)

Provides a brief guide to the physics of underwater sound. (SL)

Postulates that the probability of a nuclear world war is steadily increasing due to the aims race escalation, the spread of nuclear technology, the international trade in arms, and the failure of arms controls. (SL)

Describes an investigation that explores students' understanding of the translation, rotation, and deformation of an object. Findings illustrate that students have difficulty appreciating that these different phenomena can occur simultaneously. Discusses some implications for teaching. (DDR)