Logo
Home Study Material Contact Search
AI Chat FREE
  1. sciences
  2. physics
  3. a certain spring is compressed 0.2 metres from its

A certain spring is compressed 0.2 metres from its natural length by a force of 0.02...

90.2K

Verified Solution

Question

Physics

  1. A certain spring is compressed 0.2 metres from its naturallength by a force of 0.02 newtons. A 0.1 kilogram mass is attachedto this spring. There is no damping, and the mass is acted on by anexternal force of 0.05 cos(0.8 t) newtons, where t is measured inseconds. At t = 0, the mass is released, at rest, from its rest(equilibrium) position.

    1. (a) Set up and solve the initial value problem for thedisplacement x(t) of the mass from its rest (equilibrium) position,where x is measured in metres. Express x(t) as a sum of sinusoidal(i.e. sine or cosine) functions of t.

    2. (b) Express x(t) from part (a) as a product of sinusoidalfunctions of t, and identify the two “envelope” functions that x(t)oscillates between.

Answer & Explanation Solved by verified expert
3.8 Ratings (547 Votes)
First it is neccesary to obtain the value of the springconstantThen according to Newtons second law without dampingforceaThe differential equation    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

Case 1: During her first visit to a Caribbean country, Margaret McKenzie, a 35 year-old woman,...

Medical Sciences
Q

3. Review the movie and/or transcript of” The Danger of the Single Story”. Discuss the sociological...

Psychology
Q

With axle and spokes of negligible mass and a thin rim, a certain bicycle wheel has...

Physics
Q

Explain the meaning and usefulness of the equivalent diameter, for the annular region in a double...

Mechanical Engineering
Q

One way in which organisms are classified is by how they obtain their food for...

Biology
Q

The resistance of the rheostat shown in figure is 30 2 Neglecting the ammeter resistance...

Physics
Q

b who le to a 20 volt potential The and pure 40 mH coil is...

Physics
Q

The exchange of shares for land would be reported as (10 Points) a. exchanges...

Accounting
Q

45. On its December 31, 2010, balance sheet, Trump Co. reported its FVTOCI investments at...

Accounting
Q

Using the information below, calculate gross profit for the period: 45 Beginning Raw Materials Inventory...

Accounting
Q

Daunte and Shanice are married taxpayers filing a joint tax return. In 2020, their adjusted...

Accounting
Q

Question 3 5 pts Maverick Technologies has sales of $3,000,000. The company's fixed operating costs...

Finance