Weighing a Bacterium Scientists are using tiny, nanoscale cantilevers 4 micrometers long and 500 nanometers wide--essentially miniature diving boards--as a sensitive way to measure mass. An example is shown in ( Eigure 1). The cantilevers oscillate up and down with a frequency that depends on the mass placed near the tip, and a laser beam is used to measure the frequency. A single E. coli bacterium was measured to have a mass of 800 femtograms = 8.00×10-16 kg with this device, as the cantilever oscillated with a frequency of 16.9 MHz Figure < 1 of 1 > Part A Treating the cantilever as an ideal, massless spring, find its effective force constant. Express your answer in newtons per meter. k= Submit V—| ΑΣΦΑ Provide Feedback 1 Request Answer ? N/m
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
Step by step
Solved in 2 steps
