Memoirs of Numazu College of Technology 50 33-38 Jan 2016

Two pendulums linked by a weak spring provide various oscillation systems, one of which is beat in coupledpendulums and occurs in a vertical plane as in its static state. It is possible to realize that (i) the spring links two bobs of thependulums...

Memoirs of Numazu College of Technology 50 39-44 Jan 2016

Circular motion and motion of a single pendulum are important items for students to study in physics of highschool and in fundamental engineering at lower grades of colleges of technology. In this report, it is shown that circularmotion is express...

Memoirs of Numazu College of Technology 50 51-56 Jan 2016

The transformation of equation of motion between Cartesian coordinates and plane polar coordinates is a fundamentalpractice in Mathematics, for students at high school level. Along this line, the angular momentum in circularmotion may be introduce...

Memoirs of Numazu College of Technology 50 57-62 Jan 2016

Abstract: Newton's law of universal gravitation and Coulomb's law are very important laws for students to study inhigh-school physics with some restrictions in Mathematics. Given scalar potential, computations can be made in a rathersimple way and...

Memoirs of Numazu College of Technology 50 63-68 Jan 2016

A simple pendulum of a bob is pulled up by a string, which passes through a pulley and is attached to anotherbob vertically movable up/down. This system is likely with a swinging Atwood type system and leads to oscillation, justlike as a simple pe...

Memoirs of Numazu College of Technology 50 69-74 Jan 2016

A simple pendulum of a bob is pulled up by a string which passes through a pulley and is attached to anotherbob vertically movable up/down. This system is likely with a swinging Atwood type system and leads to simple oscillation,just like as a sim...

Memoirs of Numazu College of Technology 50 81-86 Jan 2016

A typical spring system is studied in which two parallel springs are linked by a slender rigid bar of mass m andmoment of inertia J_0. The center of mass makes translational oscillation, while the rigid body rotation about the centergives rise to ...

Memoirs of Numazu College of Technology 49 25-30 Jan 2015

To update education materials of Mechanics in Engineering Science for Engineering Education, examinedhere are complementary education resources for foreign students in KOSEN. As a typical example in mechanics, a massspringsystem of two degrees of ...

Memoirs of Numazu College of Technology 49 31-36 Jan 2015

As one of practice problems in high-school physics, three mass-spring systems are given to seek an equilibriumin static force balance. The systems are treated to be the same in the static equilibrium, but have different mechanisms indynamic balanc...

Memoirs of Numazu College of Technology 49 37-42 Jan 2015

A bifilar suspension pendulum, a uniform density bar suspended at its two points by two strings of same length,may swing in a vertical plane or make torsional oscillation about a vertical axis, which are called Mode 1, 2 and 3. Thesemodes are line...

Memoirs of Numazu College of Technology 49 43-48 Jan 2015

An equation for nonlinear oscillation with inertia type and static nonlinear terms, u¨+u+c1u˙ +a1u3+a2uu˙ 2+a3u2¨u = F0 cos(Ωt + θ1), is computed to reveal hardening/softening arising as steady state response to periodic forcing.For parameters gen...

OHBA Katsuhisa, AOKI Yusuke, AFIQ Bin Mohamad Johari, FUNADA Toshio

Memoirs of Numazu College of Technology 49 49-54 Jan 2015

Abstract: Four pendulums with a spring provide various oscillation systems, one of which is a set of two double pendulumsin connection with a spring and is a fundamental model of biped walking. For very strong spring, it may be regarded asa bifila...

Memoirs of Numazu College of Technology 48 31-36 Mar 2014

A bifilar suspension pendulum, a uniform density bar suspended at its two points by two strings of same length,may swing in a vertical plane or make torsional oscillation about a vertical axis. The swinging in a co-plane of the stringsand the bar ...

Memoirs of Numazu College of Technology 48 37-42 Mar 2014

A uniform density bar is suspended at its two supporting points by two strings whose two end points are attachedto an upper static wall, and works as a bifilar suspension pendulum of three oscillation modes: two swinging modes andone torsional mod...

Memoirs of Numazu College of Technology 48 43-48 Mar 2014

A uniform density bar is suspended at its two supporting points by two strings whose two end points are attachedto an upper static wall, and works as a bifilar suspension pendulum of three oscillation modes: two swinging modes andone torsional mod...

Memoirs of Numazu College of Technology 48 49-54 Mar 2014

A uniform density bar is suspended at its two supporting points by two strings whose two end points are attachedto an upper static wall, and works as a bifilar suspension pendulum of three oscillation modes: two swinging modes andone torsional mod...

Memoirs of Numazu College of Technology 48 55-60 Mar 2014

To update education materials of Mechanics in Engineering Science, Ritz method is used to evaluate highaccuracy periods of nonlinear oscillation of simple pendulum by means of one term of test function, which will providestudents deep understandin...

In addition to the usual static nonlinear terms due to potential energy in many oscillation systems,inertia type nonlinear terms are involved in equations of motion,which may work as hardening/softening,depending on an angular frequency of forcing...

Introduction of Mini-study in Numazu National College of Technology

A bifilar suspension pendulum, a uniform density bar suspended at its two points by two strings of same length, may swing in vertical planes or make torsional oscillation about a vertical axis. The swinging in a co-plane of the strings and the bar...