Question

In: Physics

In simple harmonic motion, what happens to the velocity as the acceleration is maximum and vice...

  1. In simple harmonic motion, what happens to the velocity as the acceleration is maximum and vice versa what happens to the acceleration as velocity is maximum. Explain in details on how you arrive at your conclusion.

Solutions

Expert Solution

In simple harmonic motion acceleration is maximum at the extreme points that is at the displacement equal to the amplitude because the force which is retarding in nature is maximum, so at this point all the kinetic energy is being converted into potential energy and hence the velocity becomes zero which is the minimum value for the velocity in SHM.

Now in simple harmonic motion the velocity gets maximum at the equilibrium point because there all the the potential energy possessed by the particle at the extreme position has been converted completely into the kinetic energy and hence the acceleration becomes zero at equilibrium position where velocity is maximum.

Please ask your doubts or queries in the comment section below.

Please kindly upvote if you are satisfied with the solution.

Thank you.


Related Solutions

Write a discussion and conclusion for simple harmonic motion.
Write a discussion and conclusion for simple harmonic motion.
particle is in simple harmonic motion along the x axis. The amplitude of the motion is...
particle is in simple harmonic motion along the x axis. The amplitude of the motion is xm. When it is at x = x1, its kinetic energy is K = 5 J and its potential energy (measured with U = 0 at x = 0) is U = 3 J. When it is at x = −1 2x1, the kinetic and potential energies are: A. K = 5 J and U = 3J B. K = 5 J and U...
Question ) a) Briefly state an explanation of what the helical spring in simple harmonic motion...
Question ) a) Briefly state an explanation of what the helical spring in simple harmonic motion and its concepts are in min 300 words? (In word text, no pictures) b) What is the Aim of The helical spring in simple harmonic motion experiment where in oscillations of 30 how long it takes or the time it takes for each set of weights is measured?(min 100 words)
Which of the following statements are correct? A. All oscillatory motion is Simple Harmonic Motion. B....
Which of the following statements are correct? A. All oscillatory motion is Simple Harmonic Motion. B. Simple Harmonic motion is a special case of oscillatory motion. C. Oscillatory motion is a special case of Simple Harmonic motion. D. Oscillatory motion cannot be Simple Harmonic motion Which of the following statements is correct? A. In simple harmonic motion, kinetic energy is constant. B. In simple harmonic motion, potential energy is constant. C. In simple harmonic motion, the sum of kinetic and...
A particle executes simple harmonic motion, such that at a given time, it is at ?A/3...
A particle executes simple harmonic motion, such that at a given time, it is at ?A/3 moving in towards equilibrium. 0.7seconds later, it is at x=0.9A moving towards equilibrium. Find the angular frequency of the particle, if it passes through equilibrium once between the two occurrences. Repeat the above, with the particle passing through equilibrium 5times between the two occurrences.
We have a simple harmonic motion that is described by the equation: ? (?) = 0.82cos...
We have a simple harmonic motion that is described by the equation: ? (?) = 0.82cos (0.4? + 0.2) Determine the equation of v (t) and a (t).
An object attached to a spring vibrates with simple harmonic motion as described by the figure...
An object attached to a spring vibrates with simple harmonic motion as described by the figure below. (a) For this motion, find the amplitude.   (b) For this motion, find the period. (c) For this motion, find the angular frequency.  (d) For this motion, find the maximum speed  (e) For this motion, find the maximum acceleration.  (f) For this motion, find an equation for its position x in terms of a sine function. 
A 323 g object is attached to a spring and executes simple harmonic motion with a...
A 323 g object is attached to a spring and executes simple harmonic motion with a period of 0.210 s. If the total energy of the system is 6.70 J. (a) Find the maximum speed of the object. m/s (b) Find the force constant of the spring. N/m (c) Find the amplitude of the motion. mA 323 g object is attached to a spring and executes simple harmonic motion with a period of 0.210 s. If the total energy of...
(A particle that vibrates under the influence of a simple harmonic motion) If the total energy...
(A particle that vibrates under the influence of a simple harmonic motion) If the total energy is greater than the effort - solve the Schrödinger equation using polynomial Hermit
In Chapter 10, we are working on simple harmonic motion. What similarities do you see in...
In Chapter 10, we are working on simple harmonic motion. What similarities do you see in the motion of the skater in the simulation to the simple harmonic motion described in Chapter 10? Use the pendulum as an example and discuss changes in velocity, potential energy, kinetic energy and damped motion.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT