1. Calculate the force exerted by the spring on the mass (F s ), you will...
1. Calculate the force exerted by the spring on the mass (F s ), you will need to use the equilibrium principle?
2.Define and give an example of: a. Velocity b. Acceleration c. Kinetic Energy d. Potential Energy e. Total Energy
3. Include a complete analysis of the mass-spring system, do so using Newton’s laws and conservation Laws. Explain why the system oscillate.
Homework Answers
Add Answer to:
1. Calculate the force exerted by the spring on the mass
(F s ), you will...
mum Problem 1 (15 points) In an oscillating spring-mass system, the energy of the system is...
mum Problem 1 (15 points) In an oscillating spring-mass system, the energy of the system is continually changing from kinetic energy to potential energy and back again. (Ignore the friction force). (5 points) Discuss in detail the energy conservation principle of the spring-mass system using your own words including the possible changes of both kinetic and potential energies during this motion? (5 points) At what point in the oscillation will the potential energy of the spring-mass system be highest? Why?...
use the answers to answer d,e, and f A mass is attached to a spring and...
use the answers to answer d,e, and f
A mass is attached to a spring and is oscillating in simple harmonic motion as shown in the figure. DOKS y (cm) BA Time (s) a) What is the period and the frequency of this motion? (2p) period: T=4.85 frequency: f = 1 / 2 = 1 = 0.208 b) Determine the amplitude (1p) A = 6cm Hz c) At which of the labelled points A-E is (4) 1. The speed greatest...
You hang a 200 g mass from a spring and it stretches by 10 cm. You...
You hang a 200 g mass from a spring and it stretches by 10 cm. You stretch it further by 5 cm and release it to oscillate. What is the frequency? Write an equation for the motion. What is the maximum velocity? What is the total enrgy in the system (kinetic + spring potential)?
. A mass is attached to a spring. The position of the mass as it oscillates...
. A mass is attached to a spring. The position of the mass as it oscillates on the spring is given by: y = A cos (8.2t) where the value of t is in seconds and A is 6.2 cm. (a) What is the period of the oscillator? (2 pts) (b) What is the velocity of the oscillator at time t = 0 and at time t = T/4? Give magnitude and direction (+ or – y direction). (4 pts)...
A block having mass m and charge +Q is connected to an insulating spring having a force constant k.
A block having mass m and charge +Q is connected to an insulating spring having a force constant k. The block lies on a frictionless, insulating, horizontal track, and the system is immersed In a uniform electric field of magnitude E directed as shown in the figure below. The block Is released from rest when the spring Is unstretched (at x = 0). We wish to show that the ensuing motion of the block is simple harmonic. (a) Consider the system...
Consider a mass m suspended from a massless spring that obeys Hooke's Law (i.e. the force...
Consider a mass m suspended from a massless spring that obeys Hooke's Law (i.e. the force required to stretch or compress it is proportional to the distance stretched/compressed). The kinetic energy T of the system is mv2/2, where v is the velocity of the mass, and the potential energy V of the system is kr-/2, where k is the spring constant and x is the displacement of the mass from its gravitational equilibrium position. Using Lagrange's equations for mechanics (with...
You attach a 150 g mass on a spring hung vertically. a. If the spring initially...
You attach a 150 g mass on a spring hung vertically. a. If the spring initially stretches 16 cm when you hang the mass on it, what is the spring constant? b. How long will one oscillation take? The spring is now oriented horizontally and attached to a glider on a frictionless airtrack. The glider also has mass of 150 g. You want to observe the oscillations of this horizontal springmass system in the lab with a motion detector. You...
2. (15 scores) Consider the mechanical system shown in Figure 1. A spring exerts a force...
2. (15 scores) Consider the mechanical system shown in Figure 1. A spring exerts a force that is a function of its extension. A damper exerts a force that is a function of the velocity of the piston. Assume that the spring and the damper are both linear. (1) We want to describe the relation between the external force F(t) and the position yt) of the mass. Give the differential equation relating F(t) and y(t). Define this carefully as a...
1) A force of 2 N stretches a spring 0.5 meters. The mass of 1 kg...
1) A force of 2 N stretches a spring 0.5 meters. The mass of 1 kg is attached to the spring and set into motion in a medium that offer a damped force equal 4 times the velocity. If the mass is at stating from 0.5 m above the equilibrium position with a downward initial velocity of 0.2m/sec a) Find the equation for the position if the system is exerted by an external force of f(t) = 4 cost. b)...
Problem: Learning to fly In this example, we will apply conservation of energy, including potential energy,...
Problem: Learning to fly In this example, we will apply conservation of energy, including potential energy, together with Newton’s laws and the expression for the acceleration in the radial direction of an object moving on a circular path. A young fledgling bird of mass m is sat at the very top of a dome, which is circular in cross section of radius R. Starting with an initial velocity of zero, the bird starts to slide down the dome. There is...
mum Problem 1 (15 points) In an oscillating spring-mass system, the energy of the system is continually changing from kinetic energy to potential energy and back again. (Ignore the friction force). (5 points) Discuss in detail the energy conservation principle of the spring-mass system using your own words including the possible changes of both kinetic and potential energies during this motion? (5 points) At what point in the oscillation will the potential energy of the spring-mass system be highest? Why?...
use the answers to answer d,e, and f
A mass is attached to a spring and is oscillating in simple harmonic motion as shown in the figure. DOKS y (cm) BA Time (s) a) What is the period and the frequency of this motion? (2p) period: T=4.85 frequency: f = 1 / 2 = 1 = 0.208 b) Determine the amplitude (1p) A = 6cm Hz c) At which of the labelled points A-E is (4) 1. The speed greatest...
Consider a mass m suspended from a massless spring that obeys Hooke's Law (i.e. the force required to stretch or compress it is proportional to the distance stretched/compressed). The kinetic energy T of the system is mv2/2, where v is the velocity of the mass, and the potential energy V of the system is kr-/2, where k is the spring constant and x is the displacement of the mass from its gravitational equilibrium position. Using Lagrange's equations for mechanics (with...
2. (15 scores) Consider the mechanical system shown in Figure 1. A spring exerts a force that is a function of its extension. A damper exerts a force that is a function of the velocity of the piston. Assume that the spring and the damper are both linear. (1) We want to describe the relation between the external force F(t) and the position yt) of the mass. Give the differential equation relating F(t) and y(t). Define this carefully as a...
1) A force of 2 N stretches a spring 0.5 meters. The mass of 1 kg is attached to the spring and set into motion in a medium that offer a damped force equal 4 times the velocity. If the mass is at stating from 0.5 m above the equilibrium position with a downward initial velocity of 0.2m/sec a) Find the equation for the position if the system is exerted by an external force of f(t) = 4 cost. b)...
Most questions answered within 3 hours.
-
26) Briefly describe, using words or simple diagrams, the
chemiosmotic theory for coupling oxidation to phosphorylation...
asked 1 hour ago -
Suppose that XX is a random variable with mean 16 and standard
deviation 5 . Also...
asked 2 hours ago -
Calculate the number density of argon gas at a temperature of
24C and a pressure of...
asked 5 hours ago -
Alternative
Classification
How to Estimate
Probabilities from Data? ( For continuous Attributes)
And How to generate...
asked 5 hours ago -
An explosion breaks a 20.0-kg object into three parts. The
object is initially moving at a...
asked 6 hours ago -
Calculate the approximate number of residues of Rubisco, which
is involved in carbon fixation in plants,...
asked 7 hours ago -
Other decisions about scientific claims can have a much broader
impact.ENERGYarrow-10x10.png, environment, health, security - all...
asked 8 hours ago -
I need to write a research paper and work cited about this
topic: The United States...
asked 8 hours ago -
Hello! I was wondering if I could have some help?
If the vapor pressure of carvone...
asked 8 hours ago -
An economist wants to estimate the mean per capita income (in
thousands of dollars) for a...
asked 9 hours ago -
What would be the input/output characteristic of a circuit
obtained by putting two of your 2's-complementers...
asked 9 hours ago -
In Drosophila, the transition from the syncytial blastoderm
stage to the cellular blastoderm stage is a...
asked 9 hours ago