Question

A harmonic oscillator is described by the function x(t) = (0.350 m) cos(0.490t). Find the oscillator's...

A harmonic oscillator is described by the function x(t) = (0.350 m) cos(0.490t). Find the oscillator's maximum velocity and maximum acceleration. Find the oscillator's position, velocity, and acceleration when t = 1.25 s.

(a) oscillator's maximum velocity (in m/s)

(b) oscillator's maximum acceleration (m/s2)

(c) oscillator's position (in m) when t = 1.25 s

(d) oscillator's velocity (in m/s) when t = 1.25 s

(e) oscillator's acceleration (in m/s2) when t = 1.25 s


Homework Answers

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 simple harmonic oscillator's position is given by y(t) = (0.950 m)cos(11.8t − 6.15). Find the...
A simple harmonic oscillator's position is given by y(t) = (0.950 m)cos(11.8t − 6.15). Find the oscillator's position, velocity, and acceleration at each of the following times. (Include the sign of the value in your answer.) (a)     t = 0 position       m velocity     m/s acceleration     m/s2 (b)     t = 0.500 s position     m velocity     m/s acceleration     m/s2 (c)     t = 2.00 s position     m velocity     m/s acceleration     m/s2
A simple harmonic oscillator's position is given by y(t) = (0.860 m)cos(10.2t − 5.65). Find the...
A simple harmonic oscillator's position is given by y(t) = (0.860 m)cos(10.2t − 5.65). Find the oscillator's position, velocity, and acceleration at each of the following times. (Include the sign of the value in your answer.) (a)     t = 0 position     m velocity     m/s acceleration     m/s2 (b)     t = 0.500 s position     m velocity     m/s acceleration     m/s2 (c)     t = 2.00 s position     m velocity     m/s acceleration     m/s2
If the object-spring system is described by x = (0.340 m) cos (1.55t), find the following....
If the object-spring system is described by x = (0.340 m) cos (1.55t), find the following. (a) the amplitude, the angular frequency, the frequency, and the period A = m ω = rad/s f = Hz T = s (b) the maximum magnitudes of the velocity and the acceleration vmax = m/s amax = m/s2 (c) the position, velocity, and acceleration when t = 0.250 s x = m v = m/s a = m/s2
A simple harmonic oscillator's velocity is given by vy(t) = (0.870 m/s)sin(10.8t − 4.65). Find the...
A simple harmonic oscillator's velocity is given by vy(t) = (0.870 m/s)sin(10.8t − 4.65). Find the oscillator's position, velocity, and acceleration at each of the following times. (Include the sign of the value in your answer.) (a)     t = 0 position     m velocity     m/s acceleration     m/s2 (b)     t = 0.500 s position     m velocity     m/s acceleration     m/s2 (c)     t = 2.00 s position     m velocity     m/s acceleration     m/s2
If the object-spring system is described by x = (0.310 m) cos (1.55t), find the following....
If the object-spring system is described by x = (0.310 m) cos (1.55t), find the following. (a) the amplitude, the angular frequency, the frequency, and the period A = m ω = The angular frequency is ω in Acosωt. rad/s f = Hz T = s (b) the maximum magnitudes of the velocity and the acceleration vmax = m/s amax = m/s2 (c) the position, velocity, and acceleration when t = 0.250 s x = m v = m/s a...
The function x = (8.0 m) cos[(4πrad/s)t + π/5 rad] gives the simple harmonic motion of...
The function x = (8.0 m) cos[(4πrad/s)t + π/5 rad] gives the simple harmonic motion of a body. At t = 6.9 s, what are the (a) displacement, (b) velocity, (c) acceleration, and (d) phase of the motion? Also, what are the (e) frequency and (f) period of the motion?
The function x = (9.5 m) cos[(6πrad/s)t + π/4 rad] gives the simple harmonic motion of...
The function x = (9.5 m) cos[(6πrad/s)t + π/4 rad] gives the simple harmonic motion of a body. At t = 2.3 s, what are the (a) displacement, (b) velocity, (c) acceleration, and (d) phase of the motion? Also, what are the (e) frequency and (f) period of the motion?
he equation of motion of a simple harmonic oscillator is given by x(t) = (7.4 cm)cos(12πt)...
he equation of motion of a simple harmonic oscillator is given by x(t) = (7.4 cm)cos(12πt) − (4.2 cm)sin(12πt), where t is in seconds.Find the amplitude. m (b) Determine the period. s (c) Determine the initial phase. °
Practice Derivatives and integrals. A particle’s velocity is described by the function v = ( t^2...
Practice Derivatives and integrals. A particle’s velocity is described by the function v = ( t^2 – 7t + 10) m/s, where t is in s. a) Graph the velocity function for t in the interval 0s-6s. b) At what times does the particle reach its turning points? c) Find and graph the position function x (t). d) Find and graph the acceleration function a(t). e) What is the particle’s acceleration at each of the turning points?
1)x = (9.2 m) cos[(5πrad/s)t + π/4 rad] gives the simple harmonic motion of a body....
1)x = (9.2 m) cos[(5πrad/s)t + π/4 rad] gives the simple harmonic motion of a body. At t = 2.1 s, what are the (a) displacement, (b) velocity, (c) acceleration, and (d) phase of the motion? Also, what are the (e) frequency and (f) period of the motion? 2) An oscillating block-spring system takes 0.746 s to begin repeating its motion. Find (a) the period, (b) the frequency in hertz, and (c) the angular frequency in radians per second.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT