STUDYING OF INERTIA MOMENT AND POSITION OF mass CENTER OF RIGID BODY OF asymmetric shape in the course of general physics

2017 ◽  
pp. 44-50
Author(s):  
O.G. Revinskaya ◽  
◽  
N.S. Kravchenko ◽  
Keyword(s):  
Rigid Body ◽  
Mass Center ◽  
Inertia Moment ◽  
General Physics ◽  
Asymmetric Shape

Working Principle and Mechanics Analysis of Circular Bundling Machine

2013 ◽  
Vol 397-400 ◽  
pp. 915-918
Author(s):  
Juan Wei ◽  
Wen Pu Shi
Keyword(s):  
Rigid Body ◽  
Driving Force ◽  
Angular Speed ◽  
Mass Center ◽  
Working Process ◽  
Roller Diameter ◽  
Mechanics Analysis ◽  
Working Principle

Mechanical principles are employed to analyze the working process of the modern agricultural circular bundling machine, the motion theorem of mass center of rigid body and the theorem of moment of momentum with respect to the centroid are used to give the relations between the driving force, feed roller diameter and angular speed and so on, the conclusions show the feasibility and technique in the design of the circular bundling machine.

scholarly journals Vector Rotators of Rigid Body Dynamics with Coupled Rotations around Axes without Intersection

2011 ◽  
Vol 2011 ◽  
pp. 1-26 ◽  
Author(s):  
Katica R. (Stevanović) Hedrih ◽  
Ljiljana Veljović
Keyword(s):  
Nonlinear Dynamics ◽  
Rigid Body ◽  
Degrees Of Freedom ◽  
Rigid Body Dynamics ◽  
Degree Of Freedom ◽  
Inertia Moment ◽  
Vector Method ◽  
Mass Moment ◽  
Body Dynamics ◽  
Angular Velocities

Vector method based on mass moment vectors and vector rotators coupled for pole and oriented axes is used for obtaining vector expressions for kinetic pressures on the shaft bearings of a rigid body dynamics with coupled rotations around axes without intersection. Mass inertia moment vectors and corresponding deviational vector components for pole and oriented axis are defined by K. Hedrih in 1991. These kinematical vectors rotators are defined for a system with two degrees of freedom as well as for rheonomic system with two degrees of mobility and one degree of freedom and coupled rotations around two coupled axes without intersection as well as their angular velocities and intensity. As an example of defined dynamics, we take into consideration a heavy gyrorotor disk with one degree of freedom and coupled rotations when one component of rotation is programmed by constant angular velocity. For this system with nonlinear dynamics, a series of tree parametric transformations of system nonlinear dynamics are presented. Some graphical visualization of vector rotators properties are presented too.

scholarly journals Penerapan Instrumen Three-Tier Test untuk Mengidentifikasi Miskonsepsi Siswa SMA pada Materi Keseimbangan Benda Tagar

2018 ◽  
Vol 7 (2) ◽  
pp. 88
Author(s):  
Budi Astuti ◽  
Aufa Maulida Fitrianingrum ◽  
Sarwi Sarwi
Keyword(s):  
Qualitative Analysis ◽  
Rigid Body ◽  
Diagnostic Test ◽  
Qualitative Method ◽  
Sampling Technique ◽  
Research Data ◽  
Cognitive Domain ◽  
Equilibrium Concept ◽  
Inertia Moment ◽  
Centre Of Gravity

<p>The purpose of this research was to identify and analyze the students’misconceptions of</p><p>rigid body equilibrium concept. This research was included inertia moment, torque, and</p><p>centre of gravity concept. This reseacrh used qualitative method. There were 35 students as</p><p>sample chosen by purposive sampling technique. The research data was obtained by</p><p>diagnostic test used three-tier test. Based on the qualitative analysis result to the students’</p><p>answers could be conclude that there were misconceptions. The high misconceptions were</p><p>happenned in moment inertia concept and cognitive domain “remember”.</p>

The Dynamic Analyses of the Eccentric Cylinder Moving on the Inclined Plane

2013 ◽  
Vol 397-400 ◽  
pp. 330-334
Author(s):  
Juan Wei ◽  
Wen Pu Shi
Keyword(s):  
Rigid Body ◽  
Center Of Mass ◽  
Normal Pressure ◽  
Mass Center ◽  
Dynamic Problems ◽  
Inclined Plane ◽  
Dynamic Analyses ◽  
Eccentric Cylinder ◽  
The Moment ◽  
Theoretical Analyses

The conservation principle of energy and the mass center movement theorem of rigid body and the moment of momentum theorem relative to the center of mass were used to study the dynamic problems of the eccentric cylinder on the inclined plane. The mass center velocity and the acceleration of the cylinder and the normal pressure and the friction force of the cylinder acting on the inclined plane and etc are given. An example is introduced to show the variations of the physical variants, and the numerical results agree with the theoretical analyses.

VECTOR METHOD BASED ON MASS MOMENT VECTORS AND VECTOR ROTATORS APPLIED TO RIGID-BODY MULTI-COUPLED ROTATIONS AROUND NONINTERSECTING AXES

2013 ◽  
Vol 13 (07) ◽  
pp. 1340007
Author(s):  
KATICA R. STEVANOVIĆ HEDRIH
Keyword(s):  
Rigid Body ◽  
Body Mass ◽  
Rotation Axis ◽  
Short Review ◽  
Unit Vector ◽  
Rigid Body Dynamics ◽  
Complete Analysis ◽  
Inertia Moment ◽  
Vector Method ◽  
Mass Moment

The first part of the paper contains a short review of a series of published papers in the area of system dynamics with coupled rotations as well as of a series of author's various published research results in the area of vector method based on the mass inertia moment vectors and corresponding deviational vector components and vector rotators for the pole and oriented axis, introduced and defined by K. Hedrih in 1991. The vector with principal importance is vector of the rigid body mass inertia moment at the point and for the axis oriented by the unit vector, and with a corresponding component vector of the rigid body mass deviational moment for the rotation axis through the same pole. Second part presents the vector method based on mass moment vectors and vector rotators coupled for pole and oriented nonintersecting axes in application for obtaining vector expressions for kinetic parameters of a rigid body dynamics with multi-coupled rotations around nonintersecting axes. A complete analysis of obtained vector expressions for linear momentum and angular momentum and their corresponding derivatives gives us a series of the kinematical vector rotators around the corresponding directions determined by axes of the rigid body coupled multi-rotations around nonintersecting axes. Series of the theorems are defined.

Dynamic Properties of Rigid Body and Supports From Vibration Measurements

1991 ◽  
Author(s):  
Sudhakar M. Pandit ◽  
Ying-Xian Yao ◽  
Zhi-Quan Hu
Keyword(s):  
Rigid Body ◽  
Dynamic Properties ◽  
Linear Equations ◽  
Physical Characteristics ◽  
The Body ◽  
Mass Center ◽  
Body Structure ◽  
Vibration Data ◽  
Principal Axes ◽  
Simultaneous Linear Equations

Abstract A method is presented to get the dynamic characteristics of a multi-DOF rigid body structure from the measured vibration data. These characteristics include the mass, center of gravity, moment of inertia and the principal axes of the body, stiffness, damping, the center of stiffness in any direction, moment of stiffness, center of damping and moment of damping, and the principal axes of the supports. The method is capable of representing structures with various DOFs, from 2 up to 6. The mass M, stiffness K, and damping C (or M−1K and M−1C) matrices are obtained first based on measured vibration data by Data Dependent Systems (DDS) methodology which is accurate even for highly damped structures. Relationships between the physical characteristics and these matrices have been derived so that the physical characteristics can be obtained by solving simultaneous linear equations. It is also possible to determine the characteristics up to 5 individual springs and dashpots to provide a basis for improvement in the structure’s performance.

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