Question

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?

Homework Answers

Answer #1

(1) frequency and amplitude of SHM is given as;

solution:

(A) Angular velocity can be defined as;

(B) displacement of this oscillation is given as;

at t = 5 s;

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) A mass on a spring vibrates in simple harmonic motion at a frequency of 4.0...
A) A mass on a spring vibrates in simple harmonic motion at a frequency of 4.0 Hz and an amplitude of 8.0 cm. If a timer is started when its displacement from equilibrium is a maximum (hence x = 8 cm when t = 0), what is the displacement of the mass when t = 3.7 s? B) A mass of 4.0 kg, resting on a horizontal, frictionless surface, is attached on the right to a horizontal spring with spring...
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 metal ball attached to a spring moves in simple harmonic motion. The amplitude of the...
A metal ball attached to a spring moves in simple harmonic motion. The amplitude of the ball's motion is 11.0 cm, and the spring constant is 5.50 N/m. When the ball is halfway between its equilibrium position and its maximum displacement from equilibrium, its speed is 27.2 cm/s. (a) What is the mass of the ball (in kg)? (b) What is the period of oscillation (in s)? (c) What is the maximum acceleration of the ball? (Enter the magnitude in...
A diving board oscillates with simple harmonic motion of frequency 3.85 Hz. What is the maximum...
A diving board oscillates with simple harmonic motion of frequency 3.85 Hz. What is the maximum amplitude with which the end of the board can vibrate in order that a pebble placed there not lose contact with the board during the oscillation?
A plastic ball attached to a spring moves in simple harmonic motion. The amplitude of the...
A plastic ball attached to a spring moves in simple harmonic motion. The amplitude of the ball's motion is 11.5 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 22.7 cm/s. What is the mass of the ball (in kg)? Answer-    kg What is the period of oscillation (in s)? Answer- s What is the maximum acceleration of the ball? (Enter the...
An object undergoing simple harmonic motion takes 0.23 s to travel from one point of zero...
An object undergoing simple harmonic motion takes 0.23 s to travel from one point of zero velocity to the next such point. The distance between those points is 33 cm. Calculate (a) the period, (b) the frequency, and (c) the amplitude of the motion.
A mass at the end of a horizontal ideal spring undergoes simple harmonic motion of amplitude...
A mass at the end of a horizontal ideal spring undergoes simple harmonic motion of amplitude 0.700 m and of frequency 3.00 Hz as it slides on a frictionless horizontal surface. The particle is at x = 0.700 m at time t = 0.00 s. The magnitude of the force on the particle at t = 0.00 s is 14.6 N. Calculate: (a) the position of the particle at t = 0.452 s, (b) the velocity of the particle at...
A mass oscillates on a horizontal spring in a simple harmonic motion. It is observed that...
A mass oscillates on a horizontal spring in a simple harmonic motion. It is observed that the duration of one full oscillation cycle is 0.50 π seconds, and that the maximal displacement of the oscillator from the equilibrium is 12.0 cm. Let time instant taken as t = 0.00 sec correspond to the moment when the mass is at the location 10.0 cm to the left of the equilibrium, and moving to the left. 1. Find oscillator’s velocity and acceleration...
The speed of a particle undergoing simple harmonic motion is suddenly doubled when the particle's displacement...
The speed of a particle undergoing simple harmonic motion is suddenly doubled when the particle's displacement is one-half the amplitude. What is the new amplitude? Book: A First Course in Analytical Mechanics by Klaus Rossberg
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.