Question

A particle performs simple harmonic oscillations along the x-axis about the equilibrium position of x=0. The...

A particle performs simple harmonic oscillations along the x-axis about the equilibrium position of x=0. The angular frequency of the oscillations (w) is 4 Hz. At t=0, the particle is observed to be at a position x0 = 25 cm, and traveling with a velocity v0 = 100 cm/s along the x-axis. Find the position and velocity of the particle at t = 2.4 s.

Homework Answers

Answer #1

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

Please kindly upvote if you are satisfied with the solution.

Thank you.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position,...
A particle moving along the x axis in simple harmonic motion starts from its equilibrium position, the maximum value, at t = 0, moving to the right. The amplitude of the motion is 2.00 cm and the frequency is 1.50 Hz. (a) Find an expression for the position of the particle as a function of time. Determine (b) the maximum speed of the particle and (c) the earliest time (t > 0) at which the particle has this speed. Find...
A particle moves along the x axis. It is initially at the position 0.150 m, moving...
A particle moves along the x axis. It is initially at the position 0.150 m, moving with velocity 0.080 m/s and acceleration -0.340 m/s2. Suppose it moves with constant acceleration for 5.60 s. (a) Find the position of the particle after this time. (b) Find its velocity at the end of this time interval. Next, assume it moves with simple harmonic motion for 5.60 s and x = 0 is its equilibrium position. (Assume that the velocity and acceleration is...
A simple harmonic oscillator has a frequency of 11.1 Hz. It is oscillating along x, where...
A simple harmonic oscillator has a frequency of 11.1 Hz. It is oscillating along x, where x(t) = A cos(ωt + δ). You are given the velocity at two moments: v(t=0) = 1.9 cm/s and v(t=.1) = -18.1 cm/s. 1) Calculate A. 2) Calculate δ.
A particle moves along the x axis. It is initially at the position 0.230 m, moving...
A particle moves along the x axis. It is initially at the position 0.230 m, moving with velocity 0.200 m/s and acceleration -0.420 m/s2. Suppose it moves with constant acceleration for 5.30 s. (a) Find the position of the particle after this time. m (b) Find its velocity at the end of this time interval. m/s We take the same particle and give it the same initial conditions as before. Instead of having a constant acceleration, it oscillates in simple...
A particle moves along the x axis. It is initially at the position 0.340 m, moving...
A particle moves along the x axis. It is initially at the position 0.340 m, moving with velocity 0.240 m/s and acceleration -0.350 m/s2. Suppose it moves with constant acceleration for 3.20 s. (a) Find the position of the particle after this time. m (b) Find its velocity at the end of this time interval.   m/s We take the same particle and give it the same initial conditions as before. Instead of having a constant acceleration, it oscillates in simple...
The velocity-time graph of a particle moving along the x-axis is shown. The particle has zero...
The velocity-time graph of a particle moving along the x-axis is shown. The particle has zero velocity at t = 0.00 s and reaches a maximum velocity, vmax, after a total elapsed time, ttotal. If the initial position of the particle is x0 = 7.29 m, the maximum velocity of the particle is vmax = 11.3 m/s, and the total elapsed time is ttotal = 25.0 s, what is the particle's position at t = 16.7 s? b. At t...
A damped harmonic oscillator of mass m has a natural frequency ω0, and it is tuned...
A damped harmonic oscillator of mass m has a natural frequency ω0, and it is tuned so that β = ω0. a) At t = 0, its position is x0 and its velocity is v0. Find x(t) for t > 0 b)If x0 = 0.2 m and ω0 = 3 s−1 , obtain a condition on v0 necessary for the oscillator to pass through the equilibrium position (x(t) = 0) at a finite time t.
The position of a particle moving along the x axis is given in centimeters by x...
The position of a particle moving along the x axis is given in centimeters by x = 9.31 + 1.02 t3, where t is in seconds. Calculate (a) the average velocity during the time interval t = 2.00 s to t = 3.00 s; (b) the instantaneous velocity at t = 2.00 s; (c) the instantaneous velocity at t = 3.00 s; (d) the instantaneous velocity at t = 2.50 s; and (e) the instantaneous velocity when the particle is...
The position of a particle moving along the x axis is given in centimeters by x...
The position of a particle moving along the x axis is given in centimeters by x = 9.58 + 1.68 t3, where t is in seconds. Calculate (a) the average velocity during the time interval t = 2.00 s to t = 3.00 s; (b) the instantaneous velocity at t = 2.00 s; (c) the instantaneous velocity at t = 3.00 s; (d) the instantaneous velocity at t = 2.50 s; and (e) the instantaneous velocity when the particle is...
The position of a particle moving along the x axis is given in centimeters by x...
The position of a particle moving along the x axis is given in centimeters by x = 9.16 + 1.52 t3, where t is in seconds. Calculate (a) the average velocity during the time interval t = 2.00 s to t = 3.00 s; (b) the instantaneous velocity at t = 2.00 s; (c) the instantaneous velocity at t = 3.00 s; (d) the instantaneous velocity at t = 2.50 s; and (e) the instantaneous velocity when the particle is...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT
Active Questions
  • Estimated incidence of diabetes among adults aged ≥18 years, United States, 2015 Characteristic No. in thousands...
    asked 2 minutes ago
  • 3. In what stage of Erikson’s psychosocial theory are you currently in? In what stage are...
    asked 6 minutes ago
  • Discrete Mathematics ***Make sure to give proofs in PARAGRAPH form using COMPLETE sentences. Use correct notation...
    asked 15 minutes ago
  • #31. Sociodemographic differences in lung cancer worry. Hahn (2017) evaluated sociodemographic differences in how people worry...
    asked 18 minutes ago
  • The allowable bearing pressure on a 100-ft thick (below the base of footing Es = 55...
    asked 40 minutes ago
  • Write a one to two page paper: Describe how self-concept, self-understanding, and self-esteem change in adolescence.
    asked 1 hour ago
  • 7.) Your participant is 5’8” and weighs 178 lbs. They completed an exercise bout using arm...
    asked 1 hour ago
  • Assume that the price and the demand are both positive. Use the price-demand equation, x= f(p)=  √(1600-2p^2)...
    asked 2 hours ago
  • aBankruptcy: Moral, Amoral, or Immoral? Is it unethical to avoid paying one’s debts by going into...
    asked 2 hours ago
  • Pick a specific leader facing an issue in the last six months that you can analyze...
    asked 2 hours ago
  • For the past several years, Joanna and her two sisters have taken turns claiming a dependency...
    asked 2 hours ago
  • Assume that you developed an e-commerce site for the purpose of doing business. As a continuation...
    asked 2 hours ago