In this example, \(F_x\) is considered a restoring force, while \(k\) is the force constant of the spring.Īpplying Newton’s Second Law to this problem, we can obtain the mathematical description of the system: 5.5(a) shows the particle paths for a flush ratio N FL of unity, with integration mesh superimposed.
15.1.1 Construction of a ray diagram for a plane mirror.14.2.2 Applications of total internal reflection.Measure the period using the stopwatch or period timer. Observe the energy in the system in real-time, and vary the amount of friction. 13.8 Resolution limit of optical instruments Play with one or two pendulums and discover how the period of a simple pendulum depends on the length of the string, the mass of the pendulum bob, the strength of gravity, and the amplitude of the swing.13.4 Diffraction from a single wide slit.13.2 Propagation of Light - Huygens’s Principle.12.4 Sound waves in a crystal (phonons).12.1 Two waves, same amplitude, different frequency (Beats).10.6 Organ pipes and other wind instruments.10.5 Waves on strings fixed at both ends.10.2 Two waves with same amplitude and frequency.9.4 The Doppler Effect (non-relativistic).8.4 Reflection and transmission revisited.8.2 Example of reflection and transmission.8.1 Power transmitted and reflected at a boundary.8 Reflection and Transmission at boundaries.7.4.1 Potential energy of string segment.7.4 Energy carried by waves on a string.6.4 The Phase Velocity - the velocity of waves.
6.3 The wave equation - proof by substitution.6 Simple wave motion and the Wave Equation.5.5.2 Energy lost in driving oscillators.5.5.1 Energy input for driven oscillators.5.4.1 Special cases of forced oscillations.
Harmonic motion full#
5.4 Full solution of the forced oscillator.4.5 Quality factor and energy in damped SHM.3.6 Complex representation of oscillations.3.5 Exponential representation of complex numbers.3.4 Polar representation of complex numbers.1.5 Comparing displacement, velocity and acceleration.So to able to do above testing I need to run the motor with sinusoidal oscillation with exact angle. Simultaneously, the time-dependent stress σ (t) is quantified by measuring the torque that the sample imposes on the top plate. In a typical experiment, the sample is placed between two plates, as shown in the image2 below While the top plate remains stationary, a motor rotates the bottom plate, thereby imposing a time-dependent strain γ(t)=γ The basic principle of an oscillatory rheometer is to induce a sinusoidal shear deformation in the sample and measure the resultant stress response the time scale probed is determined by the frequency of oscillation, ω, of the shear deformation. Having considered linear, circular and rotational motion, we now move on to vibrational motion, or oscillation, such as that of a pendulum, where an object. What my focus is to with oscillatory tests with set sinusoidal oscillation. In an oscillatory test, the measuring bob “oscillates” around the axis. With rotational measurements, the measuring bob turns in one direction.
Basically, there are two measuring methods available: Rotational tests and oscillatory tests. So what I'm trying to do is making rheometer which measures the rheological properties of a material.
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