Question

(Undamped system) An iron ball of mass 10kg is attached to a spring having a spring...

(Undamped system)

An iron ball of mass 10kg is attached to a spring having a spring constant of 3.6N/m. The ball is started in motion from rest (i.e., initial velocity is zero) by stretching the spring 0.7m from the equilibrium position with an exerted force f(t)=6.8e-t Assume there is no air resistance.

a) Find the position of the ball as a function of time.

b) Determine how far from the equilibrium position the ball will be after 15 seconds.

0 0
Add a comment Improve this question Transcribed image text
Answer #1

Please rate
if any mistake in this answer please comment i will clarify your doubt . thank you

Add a comment
Know the answer?
Add Answer to:
(Undamped system) An iron ball of mass 10kg is attached to a spring having a spring...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • (1 point) A steel ball weighing 128 pounds is suspended from a spring. This stretches the...

    (1 point) A steel ball weighing 128 pounds is suspended from a spring. This stretches the spring feet. The ball is started in motion from the equilibrium position with a downward velocity of 3 feet per second. The air resistance (in pounds) of the moving ball numerically equals 4 times its velocity (in feet per second). Suppose that after t seconds the ball is y feet below its rest position. Find y in terms of t. (Note that this means...

  • (1 point) A steel ball weighing 128 pounds is suspended from a spring This stretches the...

    (1 point) A steel ball weighing 128 pounds is suspended from a spring This stretches the spring 13 feet The ball is started in motion from the equilibrium position with a downward velocity of 9 feet per second The air resistance (in pounds) of the moving ball numerically equals 4 times its velocity (in feet per second) Suppose that after t seconds the ball is y feet below its rest position Find y in terms of t. (Note that this...

  • 145 (1 point) A steel ball weighing 128 pounds is suspended from a spring. This stretches...

    145 (1 point) A steel ball weighing 128 pounds is suspended from a spring. This stretches the spring 128 feet The ball is started in motion from the equilibrium position with a downward velocity of 7 feet per second. The air resistance (in pounds) of the moving ball numerically equals 4 times its velocity (in feet per second). Suppose that after t seconds the ball is y feet below its rest position. Find y in terms of t. (Note that...

  • (1 point) A steel ball weighing 128 pounds is suspended from a spring. This stretches the...

    (1 point) A steel ball weighing 128 pounds is suspended from a spring. This stretches the spring 128 257 feet. The ball is started in motion from the equilibrium position with a downward velocity of 3 feet per second. The air resistance (in pounds) of the moving ball numerically equals 4 times its velocity (in feet per second). Suppose that after t seconds the ball is y feet below its rest position. Find y in terms of t. (Note that...

  • If an undamped spring-mass system with a mass that weighs 6 lb and a spring constant...

    If an undamped spring-mass system with a mass that weighs 6 lb and a spring constant 1 lb/in is suddenly set in motion at t = 0 by an external force of 3 cos 7t lb, determine the position of the mass at any time. (Use g = 32 ft/s2 for the acceleration due to gravity. Let u(t), measured positive downward, denote the displacement in feet of the mass from its equilibrium position at time t seconds.) u(t) = ft

  • 1. A 1 kg mass is attached to a spring of spring constant k = 4kg/82, The spring-mass system is a...

    Differntial Equations Forced Spring Motion 1. A 1 kg mass is attached to a spring of spring constant k = 4kg/82, The spring-mass system is attached to a machine that supplies an external driving force of f(t) = 4 cos(wt). The systern is started from equilibrium i.e. 2(0) = 0 and z'(0) = 0. There is no damping. (a) Find the position x(t) of the mass as a function of time (b) write your answer in the form r(t)-1 sin(6t)...

  • Problem 1. (point) A steel ball weighing 128 pounds is suspended from a spring. This stretches...

    Problem 1. (point) A steel ball weighing 128 pounds is suspended from a spring. This stretches the spring feet. The ball is started in motion from the equilibrium position with a downward velocity of 9 feet per second. The air resistance (in pounds) of the moving ball numerically equals 4 times its velocity on feet per second). Suppose that after t seconds the ball is y feet below its rest position. Find y in terms of t. (Note that this...

  • 6. A mass of 2 kilogram is attached to a spring whose constant is 4 N/m, and the entire system is...

    6. A mass of 2 kilogram is attached to a spring whose constant is 4 N/m, and the entire system is then submerged in a liquid that inparts a damping force equal to 4 tines the instantansous velocity. At t = 0 the mass is released from the equilibrium position with no initial velocity. An external force t)4t-3) is applied. (a) Write (t), the external force, as a piecewise function and sketch its graph b) Write the initial-value problem (c)Solve...

  • a 10kg block on a rough horizontal surface is attached to a light spring(spring constant= 3kN/m)....

    a 10kg block on a rough horizontal surface is attached to a light spring(spring constant= 3kN/m). the block is pulled 20cm to the right from its equilibrium position and released from rest. the frictional coefficient between the block and surface is 0.4. what is the kinetic energy of the block as it passes through its equilibrium position?

  • 1. a)Calculate the terminal velocity of a wooden ball, an iron ball, and a lead ball...

    1. a)Calculate the terminal velocity of a wooden ball, an iron ball, and a lead ball -- each of which is 4 inches in diameter. b).How long (in seconds) can each fall from rest before air resistance will cause a 5% change in the ball’s acceleration? How far (in meters) can each fall before air resistance will cause a 5% change in the ball’s acceleration

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT