Another Harmonic Motion The mass-spring-pulley system shown in Fig. 4.1.13 satisfies the differential equation Where x is

Question:

Another Harmonic Motion The mass-spring-pulley system shown in Fig. 4.1.13 satisfies the differential equation

Where x is the displacement from equilibrium of the object of mass m. In this equation, R and I are, respectively, the radius and moment of inertia of the pulley, and k is the spring constant. Determine the frequency of the motion.

Another Harmonic Motion The mass-spring-pulley system shown in Fig. 4.1.13

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Differential Equations and Linear Algebra

ISBN: 978-0131860612

2nd edition

Authors: Jerry Farlow, James E. Hall, Jean Marie McDill, Beverly H. West

See More Books

Question Posted: May 26, 2016 06:05 AM

See More Questions

Motion of a Buoy A cylindrical buoy with diameter 1 8 in. floats in water with its axis vertical, as shown in Fig. 4.1.14. When depressed slightly and released, its period of vibration is found to be...
In Problem 19, what is a differential equation for the displacement x(t) if the motion takes place in a medium that imparts a damping force on the spring/ mass system that is proportional to the...
Pulling a Weight: An object of mass 2 kg, resting on a frictionless table, is attached to the wall by a spring as in Fig. 4.1.1. A force of 8 nt is applied to the mass, stretching the spring and...
Solve each equation in Exercises. Round decimal answers to four decimal places. log 3 (x 2 + 17) - log3 (x + 5) = 1
Multiply Choice 1. For consideration to exist, there must be: (a) A bargained-for exchange (b) A manifestation of mutual assent (c) Genuineness of assent (d) Substantially equal economic benefits to...
Various types of accounting changes can affect the auditor's report. a. Briefly describe the rationale for having accounting changes affect the auditor's report and the auditor's responsibility in...
The brake thermal efficiency of modern I.C. engines is (a) $10-20 \%$ (b) $25-35 \%$ (c) $50-60 \%$ (d) $60-75 \%$
Daniel is the owner of a chain of shoe stores. He hires Rubya to be the manager of a new store, which is to open in Grand Rapids, Michigan. Daniel, by written contract, agrees to pay Rubya a monthly...
The Cedar Realty Trust Inc. 7.25% Series B Preferred Stock (CDR.PRB) pays an annual dividend of USD 1.8125 and has a market price of USD 14.62 What is the required rate of return (i.e. the discount...
Forrest runs Y Not Flowers, Inc. (YNF), a wholesale flower distributor with stores in several major metropolitan areas of the U.S. He is considering expanding his business, but he thinks his current...
Circular Motion: A particle moves around the circle x2 + y2 = r2 with a constant angular velocity of (0 radians per unit time. Show that the projection of the particle on the x axis satisfies the...
Los Angeles to Tokyo It can be shown that the force on an object inside a spherical homogeneous mass is directed towards the center of the sphere with a magnitude proportional to the distance from...
A particle of mass m is attached to the end of a light inelastic string of length 1.5a. The other end of the string is attached to a fixed point O. When the particle is resting in equilibrium, it is...
For each of these risks identify one control1.measure that will minimise this risk.Make sure that these measures are in accordance with the work setting's policies and procedures which are based on...
A block of wood weighs 80 N in air and a block of lead weighs 120 N when submerged in water. When both attached together, the two blocks weigh 90 N in water (pw=1000 kg/m). Calculate is the density...
VallasInc. has the following inventory activities: Vallas sold $6,400 of inventory to a customer, FOB Shipping Point. This inventory is currently in transit Vallas owns $10,000 of inventory as a...
One of our suppliers is adamant that we pay them in cash, giving us only 2 days of credit and 5% margins. What data points and negotiation tactics will you use to convince them to move to online...
Compute the payoff at maturity of an Asian call option (the payoff is defined by the maximum between the average of the underlying values minus the strike price and zero) if the path is {u,u}. Data:...
Sales volume next year is anticipated to be 50,000 plates of fried rice. By what percentage would the selling price have to be changed to generate a net income of 75,000, assume corporate tax is 25%,...
CdF2 (s) Cd+ (aq) + 2 F- (aq) 1. A saturated solution of CdF2 is prepared. The equilibrium in the solution is represented above. In the solution [Cd+] eq = 0.0585 M and [F-] eq = 0.117 M. a....
Solve the initial value problems in Problems 18 through 22. First make a substitution of the form t = x - a, then find a solution cnt n of the transformed differential equation. State the interval of...
Use Laplace transforms to solve the initial value problems in Problems 1 through 16. x" + x' + y' + 2x - y = 0, y" + x' + y' + 4x - 2y = 0; x (0) = y(0) = 1, x'(0) = y'(0) = 0
Find the Laplace transforms of the functions given in Problems 11 through 22. f(t) = sint if 0 t 3n; f(t) = 0 ift > 3r
1. Write a Java program that will prompt the user for a number and print out a square with those dimensions. For example, if the user enters 5, return the following: * * * ** ** * * * * * * * * * * *...
2. Vector multiplication or dot product is performed by multiplying corresponding elements and summing the products. It can be represented mathematically as oa; *bi where a and b are vectors of...
The following data was collected from an experiment testing the hypothesis: The density of cream whipped for 5 minutes increases at higher altitudes. What would be an acceptable interpretation of...

Another Harmonic Motion The mass-spring-pulley system shown in Fig. 4.1.13 satisfies the differential equation Where x is

Question:

/ kR2 0 mg FIGURE 4.1.13 Mass-spring- pulley system (Problem 66)

Step by Step Answer:

Another Harmonic Motion F...View the full answer

Differential Equations and Linear Algebra

Related Video

Students also viewed these Linear Algebra questions