Estimate the approximate distance of the sweet spot

Assignment Help Physics

Reference no: EM13521019

When you hit a baseball with a bat, the bat flexes and then vibrates. We can model this vibration as a transverse standing wave. The modes of this standing wave are similar to the modes of a stretched string, but with one important difference: The ends of the bat are antinodes instead of nodes, because the ends of the bat are free to move. The modes thus look like the modes of a stretched string with antinodes replacing nodes and nodes replacing antinodes. If the ball hits the bat near an antinode of a standing-wave mode, the bat will start oscillating in this mode. The batter holds the bat at one end, which is also an antinode, so a large vibration of the bat causes an unpleasant vibration in the batter's hands. This can be avoided if the ball hits the bat at what players call the "sweet spot," which is a node of the standing-wave pattern. The first standing-wave mode of a vibrating bat is the = 2 mode.

Estimate the approximate distance of the sweet spot (as a fraction of the bat's length L ) from the end of the bat.

Reference no: EM13521019

Questions Cloud

What was the energy of the gamma ray : A gamma ray disappears in the process of creating an electron-positron pair. If the kinetic energies of the electron and positron are each 2.0 MeV, what was the energy of the gamma ray

What is the objection that utilitarianism : What is the objection that Utilitarianism is a doctrine worthy only of swine and what is Mill’s reply to the objection? Evaluate the strength of Mill’s reply. Has he said enough to convince you, or are there good reasons to doubt any of his claims?

Calculate the wavelength of this standing wave : Just as you are about to step into a nice hot bath, a small earthquake rattles your bathroom. Immediately afterward, you notice that the water in the tub is oscillating. What is the wavelength of this standing wave

Explain bombs and to ignite solid-fuel rocket motors : Over the years, the thermite reation [iron 3 oxide combining with aluminum metal] has been used for welding railroad rials, in incendiary bombs, and to ignite solid-fuel rocket motors.

Estimate the approximate distance of the sweet spot : When you hit a baseball with a bat, the bat flexes and then vibrates. We can model this vibration as a transverse standing wave. Estimate the approximate distance of the sweet spot (as a fraction of the bat's length L ) from the end of the bat

Influenced by heraclitus and parmenides metaphysics : What are the characteristics of the world of Being in contrast with the world of becoming? How is he influenced by Heraclitus and Parmenides' metaphysics? According to Plato, which world is perfect and real? For what reasons?

Is simplification just a matter of renouncing possessions : One of Thoreau's goals for going to live in the wilderness was to simplify his life. Thoreau argued that, " the cost of a thing is the amount of what I will call life which is required to be exchanged for it, immediately or in the long run."

Explain hno3 be prepared from concentrated nitric acid : How can 400 ml of 2.00 M HNO3 be prepared from concentrated nitric acid, 16M HNO3. Balance the following eq in ACIDIC solution MnO2(s)+I-(aq)=Mn(2+)(aq)+I2(s)

What is her monthly payment : Sarah Buchwalter bought a $15,000 Honda Civic with 20 percent down and financed the rest with a four-year loan at an eight percent stated annual interest rate, compounded monthly. What is her monthly payment if she makes the first payment one mont..

User Account

All Pages