(iii) The drum described in part 1b (i) is driven by a belt attached to a motor. Figure (i) shows the general arrangement of a belt drive. It can be shown that the rate of change of the tension F (N) with respect to the angle e radians at any point P is given by µF, where u is the coefficient of friction between the belt and the pulley. Belt drive F.= Tension in the right side Pulley Angle of lap O A F, = Tension in the slack side Figure (i) dF The initial differential equation will be: = µF de Hint: If dx = ky then y=Aekx (i) Given the following boundary conditions when 0 =0, F = F, and when e =0, F = F,. Find the equation connecting Fi to F., p and o. Find the value of F, when F,= 50 N, p =0.3 and the angle of lap is 120° (ii) P.
Theory and Design for Mechanical Measurements
Measurement is a term that refers to analyzing a manufactured component regarding the degree of accuracy for dimensions, tolerances, geometric profile, roundness, flatness, smoothness, etc. Measurement always involves comparing the manufactured component or the prototype with a standard specimen whose dimensions and other parameters are assumed to be perfect and do not undergo changes with respect to time.Precisely in mechanical engineering the branch that deals with the application of scientific principles for measurements is known as metrology. The domain of metrology in general deals with various measurements like mechanical, chemical, thermodynamic, physical, and biological measurements. In mechanical engineering, the measurements are limited to mechanical specific such as length, mass, surface profile, flatness, roundness, viscosity, heat transfer, etc.
Basic principles of engineering metrology
Metrology is described as the science of measurement, precision, and accuracy. In other words, it is a method of measurement based on units and predefined standards.
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