Obtain the total energy of the system

Reference no: EM13287311

An object-spring system moving with simple harmonic motion has an amplitude A.

(a) What is the total energy of the system in terms of k and A only?

(b) Suppose at a certain instant the kinetic energy is twice the elastic potential energy. Write an equation describing this situation, using only the variables for the mass m, velocity v, spring constant k, and position x. (Do this on paper. Your instructor may ask you to turn in this work.)

(c) Using the results of parts (a) and (b) and the conservation of energy equation, find the positions x of the object when its kinetic energy equals twice the potential energy stored in the spring. (The answer should be in terms of A only.) x = ±

Reference no: EM13287311

Questions Cloud

Network model : Network Model

What is the ratio of the current in bulbs : Two lightbulbs operate on the same potential difference. What is the ratio of the current in bulb A to the current in bulb B

What percentage growth in current liabilities is required : A firm has targeted a 20% growth in sales this year. Last year's cash as a percent of sales was 10%, accounts receivable 30%, and inventory 25%. What percentage growth in current liabilities is required to support the growth in sales under the per..

Knee extensor muscles attaches to the tibia bone : The tendon from Lissa’s knee extensor muscles attaches to the tibia bone 1.5 in. (4 cm) below the center of her knee joint, and her foot is 15 in. (38 cm) away from her knee joint. What arc length does Lissa’s foot move through when her knee extensor..

Obtain the total energy of the system : An object-spring system moving with simple harmonic motion has an amplitude A, What is the total energy of the system in terms of k and A only

Determine for what range of k is the system stable : s(s^2-10+k(15s^2+2s+1)=0 Is the characteristic equation for a system in which K is a variable proportionnality factor. The system is known to be stable whrn K takes on certan values. for what range of K is the system stable

Research and the development of a summary of 5 it : Clarification: These systems are out of date, are not running virus software, and users all have administrative rights to the server and workstations. The website is also out of date and the website front end allows users to input data.

What are your forecasts of the company year-end inventory : Given the estimated sales forecast and the estimated relationship between inventories and sales, what are your forecasts of the company's year-end inventory level? Round your answer to the nearest hundredth of million dollar.

Find the coefficient of friction between her skis and slop : A skier of mass 68.4 kg glides down a hill of slope 26.5 degree at constant speed. find the coefficient of friction between her skis and the slope

User Account

All Pages