HomeworkLib
Question

A point moves with simple harmonic motion. When this point is 0.75 meter from the mid-path,...

  1. A point moves with simple harmonic motion. When this point is 0.75 meter from the mid-path, its velocity is 11 m/s and when 2 meters from the center of its path its velocity is 3 m/s. Find its angular velocity, periodic time and its maximum acceleration. [5.7 rad/s, 1 sec, 67, 25 m/s2]
science   physics   
0 0
Add a comment Improve this question Transcribed image text
Next > < Previous
Sort answers by oldest

Homework Answers

Answer #1

Concept - use the properties of simple harmonic motion to find the required values as shown below,

***********************************************************************************************
Check the answer and let me know immediately if you find something wrong or missing... I will rectify the mistakes asap if any

0 0
Add a comment
Know the answer?
Add Answer to:
A point moves with simple harmonic motion. When this point is 0.75 meter from the mid-path,...
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. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions

  • 4. A body moves with simple harmonic motion of amplitude 300 mm and period 0.75 sec....

    4. A body moves with simple harmonic motion of amplitude 300 mm and period 0.75 sec. Determine the maximum velocity and acceleration

  • Problem 1 The point of the needle of a sewing machine moves in simple harmonic motion...

    Problem 1 The point of the needle of a sewing machine moves in simple harmonic motion along the x-axis with a frequency of 2.5 Hz. At 1 = 0 its position and velocity components are +1.1 cm and -15 cm/s, respectively. Find the position, velocity, and acceleration of the needle at 1 = 3.0 s.

  • A steel ball attached to a spring moves in simple harmonic motion. The amplitude of the ball's motion is 10.0 cm, and th...

    A steel ball attached to a spring moves in simple harmonic motion. The amplitude of the ball's motion is 10.0 cm, and the spring constant is 6.00 N/m. When the ball is halfway between its equilibrium position and its maximum displacement from equilibrium, its speed is 19.7 cm/s. (a) What is the mass of the ball (in kg)? kg (b) What is the period of oscillation (in s)? s (c) What is the maximum acceleration of the ball? (Enter the...

  • A piston in a gasoline engine is in simple harmonic motion. The engine is running at...

    A piston in a gasoline engine is in simple harmonic motion. The engine is running at the rate of 2 820 rev/min. Taking the extremes of its position relative to its center point as ±6.00 cm. (a) Find the magnitude of the maximum velocity of the piston. m/s (b) Find the magnitude of the maximum acceleration of the piston km/s2

  • A particle is undergoing simple harmonic motion with an equlibirum position of x=0 m. At t=0...

    A particle is undergoing simple harmonic motion with an equlibirum position of x=0 m. At t=0 s, the position, velocity, and acceleration are given as: x =0.454 m v=0.166 m/s a=−0.34 m/s2 a) What is the angular frequency of the particle? ω = rad/s b) What is the amplitude of the particle? A = m c) What is the phase constant of the particle? ϕ0 = rad d) What is the particle's position at t=11.3 s? x = m e)...

  • A body oscillates with simple harmonic motion according to the following equation. x = (3.0 m)...

    A body oscillates with simple harmonic motion according to the following equation. x = (3.0 m) cos[(5π rad/s)t + π/2 rad] (a) At t = 2.0 s, find the displacement. m (b) At t = 2.0 s, find the velocity. m/s (c) At t = 2.0 s, find the acceleration. m/s2 (d) At t = 2.0 s, find the phase of the motion. rad (e) At t = 2.0 s, find the frequency of the motion. Hz (f) At 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. * (cm) 2.00 1.00 HA 0. 003 4 -1.00 -2.00 (a) For this motion, find the amplitude. cm (b) For this motion, find the period. S (c) For this motion, find the angular frequency. rad/s (d) For this motion, find the maximum speed. cm/s (e) For this motion, find the maximum acceleration. cm/s2

  • A system oscillates with simple harmonic motion.

    A system oscillates with simple harmonic motion. The acceleration of the system is described by a(t) = 2.6 m/s2 cos(2t / 16 sec). What is the maximum displacement of this system as it oscillates?

  • The function x = (2.5 m) cos[(5π rad/s)t + π/5 rad] gives the simple harmonic motion...

    The function x = (2.5 m) cos[(5π rad/s)t + π/5 rad] gives the simple harmonic motion of a body. Find the following values at t = 7.0 s. (a) the displacement m (b) the velocity (Include the sign of the value in your answer.) m/s (c) the acceleration (Include the sign of the value in your answer.) m/s2 (d) the phase of the motion rad (e) the frequency of the motion Hz (f) the period of the motion s

  • Check my work Problem 19.002 - Frequency and velocity of a particle in simple harmonic motion...

    Check my work Problem 19.002 - Frequency and velocity of a particle in simple harmonic motion A particle moves in simple harmonic motion. Knowing that the amplitude is 0.24 in, and the maximum acceleration is 225 ft/s, determine the maximum velocity of the particle and the frequency of its motion. points (8 03:40:34 The maximum velocity of the particle is ft/s, and the frequency of its motion is Hz. eBook Hint Print References

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT