Instructions: Write the equations that will be used for each problem and include every algebraic process....

Instructions:

Write the equations that will be used for each problem and include every algebraic process.

A spring oscillates with the angular frequency of 2 radians / seconds. There is a mass of 0.500 kilograms tied to the dock. The pier stretches about 0.08 meters.

a. Determine the mechanical energy of the mass.

b. Determine the velocity of the object when it passes through the point x = 0.02 meters.

Solutions

Expert Solution

Angular frequency ,=2 rad/s

mass,m=0.500 kg

Amplitude,A=0.08 m

Displacement for spring-mass system is given by

x=Acos(t)

Velocity,v=-Asin(t)

Part a.

Mechanical energy=P.E+K.E=(1/2)kx²+(1/2)mv²

=(1/2)k(Acos(t))²+(1/2)m(Asin(t))²=(1/2)m²A²=(1/2)0.5002²0.08²=6.410^-3 J

Part b

when x=0.02 m

0.02=0.08 cos(t)

cos(t)=0.25

t=75.22⁰

Velocity=-Asin(t)=-0.082sin(75.22)=0.155 m/s

genius_generous answered 1 week ago

Next > < Previous

Related Solutions

1. write down a demand and supply equations for smartphones, include two exogenous variables in each...

1. write down a demand and supply equations for smartphones, include two exogenous variables in each equation. 2. Draw a supply and demand graph for smartphones using the above equations 3. Use your graph to show how a change in one of your exogenous variable affects the model's endogenous variables.

Instructions: Please write all answers in java Each problem should be completed as a single separate...

Instructions: Please write all answers in java Each problem should be completed as a single separate .java file, each with its own main(). Inputs should be read using a Scanner object and output should be printed using System.out.println. As you finish each question, submit your code to the autograder at: http://162.243.28.4/grader/homework2.html Make sure to include your name at the top as a single word. The submission utility will test your code against a different input than the sample given. When...

Question: include the MATLAB output and commands used with each problem Generate two random 10 ×...

Question: include the MATLAB output and commands used with each problem Generate two random 10 × 10 matrices with numbers between -10 and 10. This can be done with >> A = randi([-10,10],10,10) >> B = randi([-10,10],10,10) 1. with MATLAB to determi whether A and B are invertible matrices . 2. If A is invertible, use MATLAB to show that A-1A = I 3. Determi whether (AB)-1 = B-1A-1 4. Determin whether (AT)-1 = (A-1)T 5. Determe whether (A3)-1 = (A-1)3 6. Determi whether (A +...

Identify each of the following as an adverse selection or a moral hazard problem: Instructions: In...

Identify each of the following as an adverse selection or a moral hazard problem: Instructions: In each case, very briefly (one sentence or two) state the reason for your choice. a) A person with car insurance fails to lock his car doors when he shops at a mall. b) A person with family history of cancer purchases the most complete health coverage available. c) A person with health insurance takes more risks on the ski slopes of Aspen than he...

Please include the problem number with every answer, thank you. During the month of October of...

Please include the problem number with every answer, thank you. During the month of October of the current year, Dan’s Accounting Service was opened. The following transactions occurred. Oct 1 Dan sold $70,000 worth of stock (50 shares) to start the business. Oct 1 Dan purchased $9,500 worth of office equipment on account from Keene’s Furniture Supply. Oct 1 Dan paid October’s rent on the office. He wrote a check for $2,500. Oct 2 Dan purchased $400 worth of...

Define disinfection process, write the equations for the dissolution (hydrolysis) of chlorine gas in water and...

Define disinfection process, write the equations for the dissolution (hydrolysis) of chlorine gas in water and the subsequent dissociation (ionization) of hypochlorous acid. Draw breakpoint chlorine dosage curve, and provide explanation to each zone

Write a sequence of assembly language instructions to subtract each entry of an array A of...

Write a sequence of assembly language instructions to subtract each entry of an array A of five two’s complement 16-bit binary integers from the corresponding entry of an array B of five two’s complement 16-bit binary integers and construct a third array C of two’s complement 16-bit binary integers. i.e. C[i] = A[i] - B[i]. Use the following data for the arrays A and B. A: 10, -15, 20, 4, -5 B: 25, -5, -30, 6, 10 please answer in...

1. Write the molecular, ionic and net ionic equations for the following reactions. Include phase labels on...

1. Write the molecular, ionic and net ionic equations for the following reactions. Include phase labels on all species. If you do not remember check Chapter 6. AgNO3 + NaCl > CaCO3 + HCl > NaOH + HCl > 2. Circle the correct term in bold: During an exothermic reaction heat is absorbed, released. We indicate this by using a positive, negative sign in enthalpy change value. During an endothermic reaction heat is absorbed, released. We indicate this by using a positive, negative...

Please write the molecular, complete ionic, and net ionic equations for the following reactions Include states...

Please write the molecular, complete ionic, and net ionic equations for the following reactions Include states of matter in your answer. 1. Aqueous sodium acetate and aqeous sodium chloride 2. Aqueous sodium hydroxide and aqueous iron (iii) chloride 3. Aqeuous sodium hydrogen carbonate and aqueous nitric acid 4. Solid copper and aqueous iron (iii) chloride

Write down the implementation process of the strategy of implementing school nurse in every schools of...

Write down the implementation process of the strategy of implementing school nurse in every schools of blue mountains local health district. How do you implement it within all schools of blue mountains local health district?

Subjects