Question

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. °

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Initial phase = 2.087 radian = 2.087×180/π = 119.58°

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The position of an object in simple harmonic motion is given by x= (6.88 cm) cos...
The position of an object in simple harmonic motion is given by x= (6.88 cm) cos [(2 pie/0.663 s)t]     (a) What is the object's speed at 0.828 s? cm/s (b) What is the object's maximum speed? cm/s (c) What is the object's speed when -6.88 cm? cm/s
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?
In an engine, a piston oscillates with simple harmonic motion so that its position varies according...
In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression, x = 7.00 cos(3t + π/7) where x is in centimeters and t is in seconds. (a) At t = 0, find the position of the piston. ____ cm (b) At t = 0, find velocity of the piston. ____ cm/s (c) At t = 0, find acceleration of the piston. ____ cm/s^2 (d) Find the period and amplitude of the...
An object undergoes simple harmonic motion along the x-axis with a period of 0.5 s and...
An object undergoes simple harmonic motion along the x-axis with a period of 0.5 s and an amplitude of 25 mm. Its position is x = 14 mm when t = 0 and it is heading in the -x-direction (negative). In your logbook write an equation of motion with all the variables identified and sketch a graph of position vs. time for the oscillator. What is the initial phase? [Work in rotational coordinates to 2 s.f. and enter nothing at...
In an engine, a piston oscillates with simple harmonic motion so that its position varies according...
In an engine, a piston oscillates with simple harmonic motion so that its position varies according to the expression, x = 8.00 cos (3t + pi/4) where x is in centimeters and t is in seconds. (a) At t = 0, find the position of the piston. cm (b) At t = 0, find velocity of the piston. cm/s (c) At t = 0, find acceleration of the piston. cm/s2 (d) Find the period and amplitude of the motion. period...
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.
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.
3. A particle moves in simple harmonic motion according to x = 3 cos(10t)., where x...
3. A particle moves in simple harmonic motion according to x = 3 cos(10t)., where x is in meters and t is in seconds, its maximum acceleration is? A. 30sin(10t) m/s/s B. 30cos(10t) m/s/s C. 50 m/s/s D. 150 m/s/s E. 300 m/s/s
A machine part is undergoing Simple Harmonic Motion with a frequency of 5.10 Hz and amplitude...
A machine part is undergoing Simple Harmonic Motion with a frequency of 5.10 Hz and amplitude 1.80 cm. (a) Determine the angular velocity “ω” of the oscillation.   (b)      What is the displacement of this oscillation at t=5 sec if it follows the part of x=A cos (ωt) with x=0 m at equilibrium?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT