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What is the minimum acceleration for a particle in simple harmonic motion obeying x equals acos2t?
Acceleration is a vector, so it has both magnitude and direction.
A particle in the simple harmonic motion, x = a cos(2t), has an acceleration that varies between positive and negative extremes (+4a and -4a) at the end points of its motion and has zero acceleration as it passes through its center of motion.
Here is the mathematics.
Position ' x ' = a cos(2t)
Velocity ' v ' = dx/dt = -2a sin(2t)
Acceleration = dv/dt = -4a cos(2t)
The minimum instantaneous magnitude of acceleration is zero,
and its most negative instantaneous value is [ -4a ].
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What are the limitations of a cyclotron?
There are basically two applications for the cyclotron. It's a particle accelerator, and, though it can be adapted to accelerate any charged particle, it is most frequently applied to accelerate positive charges. Protons are frequently the choice. We use the cyclotron in the physics lab, and in medicine. In the medical area we are developing the cyclotron as a proton treatment source. More medical facilities are being set up with the cyclotron providing accelerated protons to irradiate tissue. The proton, unlike gamma rays, has a depth of penetration that can be finely tuned (by "tuning" the cyclotron) to limit damage to other tissues. The cyclotron is also used to create radioactive materials that are used as radiation sources which can be implanted. The radioactive materials can also be used as tracers in medical work ups and in research, and also to provide "luminosity" in some imaging because of the way tissue takes up these selected materials. These mostly short-lived radionuclides are "big business" in medical and biophysics. In the physics laboratory, we use the cyclotron to create particle streams that we then slam into targets. This is the continuation of research to investigate the quantum mechanical world. The cyclotron can be used to "feed" another or other accelerators to get higher energies and a "bigger bang" in the world of collisions, called scattering.
Traveling at high speed requires?
Traveling at high speed requires a skilled and experienced driver, proper road conditions, and a vehicle that is well-maintained and designed for high-speed travel. Safety precautions such as wearing a seatbelt and obeying speed limits are also essential.
What does Jushin mean?
"Jushin" is a term that can have different meanings depending on the context. In Korean martial arts, it refers to a system of movement patterns. In Japanese, "Jushin" can mean "obeying the heart" or "purity of heart."
A slingshot obeying Hooke's law is used to launch pebbles vertically into the air?
That's not correct. Hooke's law describes the relationship between the force applied to a spring and its resulting deformation. It does not apply to the motion of objects launched by a slingshot. The motion of a pebble launched by a slingshot is governed by principles of projectile motion and kinematics.
What are the best ways to determine the safest driving speed are to?
The safest driving speed can be determined by obeying speed limits, adjusting your speed to road conditions, maintaining a safe following distance, and driving at a speed that allows you to react to any unexpected situations. It's also important to drive at a speed that feels comfortable and within your own limits as a driver.
What is one characteristic does everything in your solar system share?
Every particle in the solar system including your little finger is in orbit round the Sun, obeying Kepler's laws of planetary motion.
Why does eurylochus object to obeying oldysseus?
Why does Eurylochus object to obeying Odysseus?
Is obeying orders is a reflex action?
obeying orders are conditioned reflexes
What is the required duty of a good citizen in a democracy today?
Make sure all people who are at least minimum voting age can vote and protect the right to vote for everyone.
What is the adverb for obedience?
obeying
How do you spell obeying?
It is correctly spelt obey (follow commands or observe laws).
How do you avoid fines?
By obeying instructions
What do you call not obeying a rule?
Disobeying.
What is the Chumash's culture?
obeying weegee
Was obeying Allah's a command in Islamic belief?
The basic belief in Islam is believing in the ONENESS of Allah Almighty, worshiping only Him and obeying Him.
What is the formula for mass when acceleration and force are known?
Obeying the second law of universal dynamics (Newton) , the equation is F = ma Algebraically rearrange m = F/a The metric units are m(kg) = F(kgm/s^2) / a(m/s^2) NB The 'm/s^2' cancel down leaving 'kg'. NNB The units of force 'kgm/s^2' are known as 'Newtons'.
What is the opposite of obeying a contract?
breach of contract
