A Novel Method for Determination of Kinetic Friction Coefficient using Inclined Plane

Abstract

Presented in this paper is the theoretical background for a novel method for determination of kinetic friction coefficient. The method is based on the equation of movement of a rigid body along an inclined plane and has not been previously discussed in literature. According to the theoretical results presented in this paper, mean kinetic friction coefficient can be determined based on the time it takes a rigid body to travel a distance along an inclined plane. Experimental results show that the mean kinetic friction coefficient increases with increasing mean sliding velocity, i.e. with decreasing sliding time. Increasing sliding velocity increases deviation of friction coefficients. This method also allows the determination of energy consumed due to friction along the travelled distance. Increasing mean kinetic friction coefficient and mean sliding velocity increases energy consumed due to friction. Practical calculation requires application of the distance law, which, in turn, requires accurate measurement of the sliding time and distance.

Loop-the-Loop as a Real Tribomechanical System Applicable in Engineering Education

“…Further research should include the use of sensors and/or a digital camera for measuring the time and the distance travelled by the ball. By relying on Euler's approach [11], the friction coefficient could be determined on specific sections or even specific points of the track.…”

“…Several different tribometers, such as those for studying the static coefficient of rolling friction at high contact temperatures and various contact pressure [9] or for determining the static coefficient of friction at high temperatures [10], were designed based on a principle of an inclined plane. Vukelic et al [11] recently presented a device and proposed a method based on the equation of motion of a rigid body along an inclined plane that allows the quantification of friction parameters of real industrial products (sliding guides, etc. ).…”

Development of a Modular Didactic Laboratory Set for the Experimental Study of Friction

“…The authors intended to determine the kinetic coefficient of friction experimentally, based on the differential equation of body motion down an inclined plane in the presence of frictional and air resistance forces. It should be emphasised that Leonhard Euler laid the theoretical foundations of this method in 1748 [33,34] and that the authors based some of their previous kinetic friction investigations on Euler's approach [7,12]. In previous investigations [12], where the theoretical model considered the inclination angle α to be less than 90°, the authors introduced the coefficient ξ as the ratio between the air resistance force and friction force:…”

“…It should be emphasised that Leonhard Euler laid the theoretical foundations of this method in 1748 [33,34] and that the authors based some of their previous kinetic friction investigations on Euler's approach [7,12]. In previous investigations [12], where the theoretical model considered the inclination angle α to be less than 90°, the authors introduced the coefficient ξ as the ratio between the air resistance force and friction force:…”

“…Students and teachers test, validate, refine, and upgrade those sets over time, developing them from educational tools to equipment that is successfully implemented in laboratory exercises and scientific research. The examples are: a vibroplatform model [7], a device for determining elastic modulus by bending [8], a high-stiffness tool for ball burnishing [9], a novel modular fixture for a flexible manufacturing system [10], small laboratory tensile testing device [11], tribometer for experimental determination of the kinetic friction coefficient [12].Work on designing the educational and research devices generated the idea of developing didactic sets based on a modular principle.…”