This is an alternate proof for finding the natural frequencies and natural modes for a 2 DOF system. This method can always be used, but it's easier to involve matrices for larger degrees of freedom.



The equation of motion...

Here I describe the main formulas used for harmonic excitation.


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Two blocks oscillating via springs is a 2 DOF system. The final solution will have the form of a



a modal vector times cos(w1t - phi1) + another modal vector times cos(w

2t -phi2).

The system is hence said to be...

Here I derive part of the equation of motion for a spring mass damper system experiencing a sinusoidaly varying force. This is only the particular solution - Ie, the steady state solution. The total solution is x(t) = x_p + x_h where x_h...

Many vibrating systems oscillate according to the wave equation. A string fixed at both ends is just one example. In general, a vibrating string will consist of an infinite number of natural frequencies and an infinite number of...

The following tutorial provides a brief overview of the 12 pairs of cranial nerves

Almost every second of the day you are surrounded by sounds. Through easy-to-understand examples, this program helps students grasp how sounds are formed andhow sound travels. Special attention is given to the different characteristics...

NASA Technology Transfer Program Executive Dan Lockney discusses the transfer of innovative space and aeronautics technologies for practical, terrestrial applications.

Microphones are essential for capturing and transmitting sound, allowing for communication in various forms of media and entertainment. Dynamic microphones are durable and suitable for live applications, while condenser microphones are...

Dr. Tina Holden, Human Factors Technical Fellow with Leidos, talks about the challenges that astronauts may face when interacting with computers. Holden discusses some of the research that has been done on the space station to...

In this live-action program viewers will learn that the larynx is an organ in the neck. It is crucial for speech and breathing. Students will come to understand the larynx controls airflow during breathing, protects the airway during...

A mass that is connected to a spring will undergo simple harmonic motion. This means it's Equation of Motion is



x = A sin (w_n t + phi_1) where w_n =

(k/m)^1/2

Note that w_n is the frequency of oscillation...

Scientists have found that bees can scream a specific warning in bee language when giant murder hornets attack their nest to wipe them out.

In this video, we explore the requirements and patterns for step and suspensory strategies, two commonly taught reactive postural adjustments (RPAs).

Headphones work by converting electrical signals into sound waves through the use of an electromagnet and a cone. The diaphragm cone inside the driver assembly vibrates when triggered by an alternating current, creating sound waves that...

CATALONIA, SPAIN, DECEMBER 2017: AN INVENTOR building the next generation of sex robots with his wife reckons the cyborg lovers could help save marriages - and have improved his own. Robotics expert Dr Sergi Santos and his partner of 16...

Three things to keep in mind while learning the TH sound: 1) tongue tip between teeth, 2) TH is gentle, 3) Keep tongue low.

This is the equation of motion when a spring mass damper system is exposed to an external force = F_0sin(wt)<br/>

TROUBLING allegations have been made against a young 'spiritual leader' who claims to have powers such as telekinesis and the ability to change the weather. 30-year-old Bentinho Massaro has amassed an impressive following both in real...

This video is answering the question of are there bones in our ears.

Proof of the steady state amplitude and phase for a spring mass damper system with an harmonic load acting on it.



Once you get good at it, you don't need to recreate another z equation like I've done. You can just solve as if...

Inside NASA's Goddard Space Flight Center in Greenbelt, Maryland, the James Webb Space Telescope team completed the environmental portion of vibration testing on the telescope.



A shaker table subjects satellites like Webb to...

By studying X-rays in deep space, we can learn about some of the most violent and extreme objects in the universe, such as black holes and the remains of stars that have exploded. NASA’s Imaging X-Ray Polarimetry Explorer, IXPE, will...

A trumpet is a musical instrument that amplifies the buzzing sound created by a musician blowing air through their lips. By manipulating the tightness or looseness of their lips, the musician can modify the pitch of the sound. The...