5. A particle moves with simple harmonic motion between two points 1 m apart. Thefrequency of the oscillation is 4 Hz. Determine (a) the periodic time for the oscillation (b)the maximum velocity and acceleration, and (c) the velocity and acceleration of the particlewhen it is 300mm from one end of the motion.

Approach to solving the question: Simple harmonic motion. Detailed explanation:

Answered: 5. A particle moves with simple…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Q6: A particle is moving with simple harmonic motion and performs 8 complete oscillations per minute. If the particle is 5 cm from the centre of the oscillation, determine the amplitude, the velocity of the particle and maximum acceleration. Given that the velocity of the particle at a distance of 7 cm from the centre of oscillation in 0.6 times the maximum velocity. [8.75 m/s, 6 cm/s, 0.0164 m/s²]
A mass hanging from a vertical spring and a simple pendulum each have a period of oscillation of 1 second on the earth. If you were to take these devices to another planet where the acceleration due to gravity is greater than on earth, state whether the period of each device is greater than 1 sec, less than 1 sec, or the same. Explain your reasoning.
O O An accelerometer indicates that the acceleration of a body is sinusoidal at a frequency of 8 Hz. If the maximum acceleration is 12 m/2, find the amplitudes of the displacement and the velocity. A table has a vertical sinusoidal motion with constant frequency. What is the largest displacement amplitude that the table can have, if an object on the table is to remain in contact? Explain your answer. A periodic motion is described by the equation, x(t)=3sin (11πt) +5 cos (9πt) in. Plot the motion, x vs. t, for 0≤t≤3s. Remember to use MATLAB and to properly annotate the plot (x-axis labels, y-axis labels, units, title, etc.)
3. An automobile wheel and tire is balanced by a 20.0 g piece of lead located on the rim of a 40.6 cm diameter wheel. As the wheel is balanced horizontally on the machine at the tire store it rotates clockwise with a constant frequency of 15.0 Hz. (a) Find the period of the motion. For the instant at which the lead reaches the eastern most part of its circular path find: (b) its velocity, (c) its acceleration, and (d) the net force upon it. (e) What distance does the lead travel in 1.00 minute?
B7
3. An undamped spring-mass system has a mass that weighs 48 lb and a spring constant 0.5 lb/in. The mass is suddenly set in motion at t = 0 by an external force of 3 cos(2t) lb. Assume that the gravitational acceleration is g = 32 ft/s?. What is the natural frequency for this spring-mass system? Find the position of mass as a function of time t.
A child's toy consists of a spherical object of mass 50 g attached to a spring. One end of the spring is fixed to the side of the baby's crib so that when the baby pulls on the toy and lets go, the object oscillates horizontally with a simple harmonic motion. The amplitude of the oscillation is 6 cm and the maximum velocity achieved by the toy is 3.2 m/s . What is the kinetic energy K of the toy when the spring is compressed 4.1 cm from its equilibrium position?What is the kinetic energy of the object on the spring when the spring is compressed 4.1 cm from its equilibrium position? What is the potential energy U of the toy when the spring is compressed 4.1 cm from its equilibrium position?
Find the amplitude, frequency and period of motion for an object vibrating at the end of a horizontal spring if the equation for its position as a function of time is x=(0.250m) cos(π800t) a. Find the maximum magnitude of the velocity and acceleration. b. What is the position, velocity and acceleration of the object after 100s has elapsed?
c=10Ns/m
4
Imagine that a hockey puck is given an initial horizontal impulse on an infinite, flat, frictionless ice surface at 45◦N........What is the period of oscillation of this motion assuming the puck does not stray far from 45◦ N? Show your work.
The bob of a simple pendulum of length l= 40 in. is released from rest when 0 = 5°. Assuming simple harmonic motion, determine 1.6 s after release (a) the angle 0, (b) the magnitudes of the velocity and acceleration of the bob.

SEE MORE QUESTIONS

Recommended textbooks for you

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Elements Of Electromagnetics

Mechanical Engineering

ISBN:

9780190698614

Author:

Sadiku, Matthew N. O.

Publisher:

Oxford University Press

Mechanics of Materials (10th Edition)

Mechanical Engineering

ISBN:

9780134319650

Author:

Russell C. Hibbeler

Publisher:

PEARSON

Thermodynamics: An Engineering Approach

Mechanical Engineering

ISBN:

9781259822674

Author:

Yunus A. Cengel Dr., Michael A. Boles

Publisher:

McGraw-Hill Education

Control Systems Engineering

Mechanical Engineering

ISBN:

9781118170519

Author:

Norman S. Nise

Publisher:

WILEY

Mechanics of Materials (MindTap Course List)

Mechanical Engineering

ISBN:

9781337093347

Author:

Barry J. Goodno, James M. Gere

Publisher:

Cengage Learning

Engineering Mechanics: Statics

Mechanical Engineering

ISBN:

9781118807330

Author:

James L. Meriam, L. G. Kraige, J. N. Bolton

Publisher:

WILEY

SEE MORE TEXTBOOKS