A harmonic oscillator is made of an ideal spring with an unknown spring constant. Attached to the spring is a block of mass 500 g. The period of the oscillator is 0.250 s. Calculate the force constant of the spring.

A harmonic oscillator is made of an ideal spring with an unknown spring constant. Attached to the spring is a block of mass 500 g. The period of the oscillator is 0.250 s. Calculate the force constant of the spring.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter3: Oscillations

Section: Chapter Questions

Problem 3.1P

See similar textbooks

Related questions

Q: In a spring-mass system oscillating in Simple Harmonic Motion, what force constant k is needed to…

A: Given data: Period (T) = 0.50 s Mass (m) = 15 g = 0.015 kg

Q: A 0.80 kg, end mass attached to an ideal spring oscillates horizontally with a period of 0.50s, what…

Q: A bob of mass m is suspended from a string of length L, forming a pendulum. The period of this…

Q: A spring is stretched 6 inches by a 12 pound weight. If the weight attached to the spring is pulled…

A: Given data: We have mg-ks=0, k=mg/s where m=mass, g=acceleration due to gravity, k=spring…

Q: A 0.40 kg mass attached to an ideal spring oscillates horizontally with a period of 0.50 s and…

A: Given in question - Mass(m) = 0.40 kg Time period(T) = 0.50 s…

Q: An oscillator with period 3.3 ms passes through equilibrium at t = 4.6 ms with velocity v = -2.4…

Q: A piston executes simple harmonic motion with an amplitude of 0.1 m. If it passes through the center…

A: SOlution: Given that A = 0.1 m speed v = 0.5 m/s

Q: A weight suspended from an ideal spring oscillates up and down with a period T. If the amplitude of…

Q: What will happen to the kinetic energy of a simple harmonic oscillator as it reaches its maximum…

Q: simple harmonic oscillator consists of a block of mass 2.00 kg attached to a spring of spring…

Q: A simple harmonic oscillator, composed of a spring and block, has a natural oscillating frequency of…

A: frequency of simple harmonic oscillator is given by following formula: ν=12πkm=2.56 Hz here ν is the…

Q: The original time period of the simple harmonic oscillator is T . if the spring constant k of the…

A: The time period of the simple harmonic oscillator and the spring constant k is related as

Q: The motion of the harmonic oscillator pictured below is damped due to the disk attached to the…

A: The time period of the damped oscillator is

Q: In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, 0"max,…

Q: The surface of a body of water oscillates at a constant frequency and amplitude. If the crests…

Q: A simple harmonic oscillator of amplitude 5.00 m has a total energy of 8.00 J. a)Determine the…

Q: A particle oscillates with undamped simple harmonic motion. Which one of the following statements…

A: Let the mass of a particle = m Let the amplitude of simple harmonic motion = A Let the velocity at…

Q: Consider two oscillating systems with equal periods on the Earth's surface: a simple pendulum (small…

A: Given: two oscillating system: 1: A simple pendulum = period Tp 2 A spring block system = period Tm

Q: The period of a simple harmonic oscillator is T. At time t= 0 s, the position of the oscillator is…

Q: A simple harmonic oscillator has k = 12.0 N/m and m = 0.14. To calculate the period, can the…

A: Given:Spring constant, k = 12 N/mMass of the object, m = 0.14 kg

Q: The frequency w of the oscillator is 0.978 times the frequency w0 of the undamped oscillator. If the…

Q: A physical pendulum consists of a meter stick that is pivoted at a small hole drilled through the…

A: Step1: Expression for the time period. Time period is given by:T=2πImgd =3.05shere m=mass of meter…

Q: Two simple harmonic oscillators begin oscillating from x = A at t = 0. Oscillator #1 has a period of…

A: Given: Two simple harmonic oscillator begin oscillating from x = A at t = 0 Period of oscillator #1,…

Q: The displacement of a harmonic oscillator is half of its amplitude. What fraction of the total…

Q: The period of a simple harmonic oscillator is 6.02 s. At time t = 0 s, the position of the…

A: At t= 0 the oscillator is at maximum point from 0 displacement point So the equation of motion is…

Q: What change in mass is required to double the frequency of a harmonic oscillator?

Q: A 0.25 kg harmonic oscillator has a total mechanical energy of 4.1 J If the oscillation amplitude is…

Q: A simple harmonic oscillator consists of a 0.85 kg block attached to a spring. The block slides back…

A: Note : According to our guidelines , we are only allowed to answer 3 subparts per question . If you…

Q: In the figure provided, two boxes oscillate on a frictionless surface. The coefficient of static…

A: Write the expression for maximum acceleration

Q: If the frequency of the motion of a simple harmonic oscillator is doubled, by what factor does the…

A: Givenf =2fo

Q: with x=Asinωt write down an expression for the

A: Given:- A simple harmonic oscillator is given as x=Asinωt Find:- write down an expression for the…

Q: The period of a simple harmonic oscillator is T. At time t = 0 s, the position of the oscillator is…

Q: If the spring constant of a simple harmonic oscillator is halved, by what factor will the mass of…

Q: If the amplitude of a simple harmonic oscillator is doubled,by what multiplicative factor do the…

A: *We'll answer only the first question since the question to be answered was not specified. Please…

Q: A physical pendulum consists of a meter stick that is pivoted at a small hole drilled through the…

A: The time period of oscillation,

Q: Consider two pendulums with lengths l1 and l2 performing simple harmonic motion. Find the ratio…

A: Given : t1=10 times/min t2=300 times/hour In this question we have to find the ratio of l1 to l2.

Q: Consider two pendulums with lengths L1 and L2 performing simple harmonic motion. Find the value of…

A: Given data: Frequency of the first pendulum, f1=10 per minutes Frequency of the second pendulum,…

Q: В. Which of the following represent a simple harmonic oscillator: a. F= -0.5x? b. F = -2.3y

Q: on planet x, a ball (mass 1kg) on a massless, rigid rod (length 2m) oscillates as a simple pendulum…

Q: A force of 500 N is used to stretch a spring with a 0.5 kg to 350 mm. The frequency of the…

A: Using the equation for the force on the spring, F=kx500N=k350×10-3 mk=1428.57 N/m

Q: The amplitude and phase constant of an oscillator are determined by: the angular frequency O the…

Q: An oscillator with period 1.2 ms passes through equilibrium at t = 9.2 ms with velocity v = -3.3…

A: The time period of an oscillator is, The maximum velocity of an oscillator is, The angular…

Q: A horizontal spring with kinetic force of 450 N/m and a mass of 1.45 kg attached to it is undergoing…

A: force constant, k = 450 N/m mass, m = 1.45 kg

Q: What is the maximum acceleration of a platform that oscillates at amplitude 2.20 cm and frequency…

Q: Consider two pendulums with lengths lh and l2 performing simple harmonic motion. Find the ratio…

A: The time period of an object performing simple harmonic motion is defined as the time taken to…

Q: A 0.31-kg mass attached to an ideal spring oscillates horizontally with an amplitude 0.52 m. The…

A: Let T be defined as the time period, then T be given as, T=2πmk Where, k be defined as the spring…

Question

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

A simple harmonic oscillator has amplitude A and period T. Find the minimum time required for its position to change from x = A to x = A/2 in terms of the period T.
The amplitude of a lightly damped oscillator decreases by 3.0% during each cycle. What percentage of the mechanical energy of the oscillator is lost in each cycle?
If the amplitude of a damped oscillator decreases to 1/e of its initial value after n periods, show that the frequency of the oscillator must be approximately [1 − (8π2n2)−1] times the frequency of the corresponding undamped oscillator.
A blockspring system oscillates with an amplitude of 3.50 cm. The spring constant is 250 N/m and the mass of the block is 0.500 kg. Determine (a) the mechanical energy of the system, (b) the maximum speed of the block, and (c) the maximum acceleration.
The total energy of a simple harmonic oscillator with amplitude 3.00 cm is 0.500 J. a. What is the kinetic energy of the system when the position of the oscillator is 0.750 cm? b. What is the potential energy of the system at this position? c. What is the position for which the potential energy of the system is equal to its kinetic energy? d. For a simple harmonic oscillator, what, if any, are the positions for which the kinetic energy of the system exceeds the maximum potential energy of the system? Explain your answer. FIGURE P16.73
A 200-g block is attached to a horizontal spring and executes simple harmonic motion with a period of 0.250 s. The total energy of the system is 2.00 J. Find (a) the force constant of the spring and (b) the amplitude of the motion.
Two masses m1 = 100 g and m2 = 200 g slide freely in a horizontal frictionless track and are connected by a spring whose force constant is k = 0.5 N/m. Find the frequency of oscillatory motion for this system.
A grandfather clock has a pendulum length of 0.7 m and mass bob of 0.4 kg. A mass of 2 kg falls 0.8 m in seven days to keep the amplitude (from equilibrium) of the pendulum oscillation steady at 0.03 rad. What is the Q of the system?
An automobile with a mass of 1000 kg, including passengers, settles 1.0 cm closer to the road for every additional 100 kg of passengers. It is driven with a constant horizontal component of speed 20 km/h over a washboard road with sinusoidal bumps. The amplitude and wavelength of the sine curve are 5.0 cm and 20 cm, respectively. The distance between the front and back wheels is 2.4 m. Find the amplitude of oscillation of the automobile, assuming it moves vertically as an undamped driven harmonic oscillator. Neglect the mass of the wheels and springs and assume that the wheels are always in contact with the road.
Which of the following statements is not true regarding a massspring system that moves with simple harmonic motion in the absence of friction? (a) The total energy of the system remains constant. (b) The energy of the system is continually transformed between kinetic and potential energy. (c) The total energy of the system is proportional to the square of the amplitude. (d) The potential energy stored in the system is greatest when the mass passes through the equilibrium position. (e) The velocity of the oscillating mass has its maximum value when the mass passes through the equilibrium position.
If the speed of the observer is increased by 5.0%, what is the period of the pendulum when measured by this observer?
If a simple pendulum oscillates with small amplitude and its length is doubled, what happens to the frequency of its motion? (a) It doubles. (b) It becomes 2 times as large. (c) It becomes half as large. (d) It becomes 1/2 times as large. (e) It remains the same.