Question

Notify Me Bookmark

This problem is an example of critically damped harmonic motion. A mass m = 3 kg is attached to both a spring with spring constant k = 243 N/m and a dash-pot with damping constant c = 54 N⋅s/m. The ball is started in motion with initial position x0 = 2 m and initial velocity v0 = −21 m/s. Determine the position function x(t) in meters. x(t) =

This problem is an example of critically damped harmonic motion. A mass m = 3 kg is attached to both a spring with spring constant k = 243 N/m and a dash-pot with damping constant c = 54 N⋅s/m. The ball is started in motion with initial position x0 = 2 m and initial velocity v0 = −21 m/s. Determine the position function x(t) in meters. x(t) =

Image text
This problem is an example of critically damped harmonic motion. A mass m = 3 k g is attached to both a spring with spring constant k = 243 N / m and a dash-pot with damping constant c = 54 N ⋅ s / m . The ball is started in motion with initial position x 0 = 2 m and initial velocity v 0 = − 21 m / s .
Determine the position function x ( t ) in meters.
x ( t ) =

Detailed Answer

0 0

Please enter your email here. You will get email when this question is answered by our tutor.

Doubtrix Logo

Problem is not yet solved!

Click on Notify me to get email when question is answered.

Join Doubtrix with 7-days free trial

  • Icon Correct & Verified Answers
  • Icon No AI-Generated Answers
  • Icon Video Solution for Difficult Questions
  • Icon Work With Experts to Reach at Correct Answers
Notify me Login Sign Up

Similar/Related Questions

A block of mass m = 2.40 kg initially slides along a frictionless horizontal surface with velocity v0 = 4.00 m/s. At position x = 0, it hits a spring with spring constant k = 39.00 N/m and the surface becomes rough, with a coefficient of kinetic friction equal to μ = 0.350. Assume the positive direction is to the right. How far Δx has the spring compressed by the time the block first momentarily comes to rest? Δx = m
Solution
0 0

The figure represents a sphere of mass m = 2.0⋅10−3 kg and charge q = 3.72⋅10−7 C, in equilibrium on an inclined plane of 25∘. The sphere is attached to a spring with spring constant k = 1.57 N/m and is immersed in a uniform horizontal electric field, of magnitude E = 7.2⋅104 N/C. The coefficient of static friction between the sphere and the plane is μs = 0.40. Determine the maximum elongation of the spring for the sphere to be in equilibrium.
Solution
0 0

A block of mass m = 8.30 kg slides down from an inclined frictionless ramp that forms an angle θ = 26.50∘ with the ground. A long spring with a relaxed length s0 = 1.99 m and a spring constant k = 537.98 N/m is situated at the base of the ramp. The block started at a distance d = 3.06 m from the tip of the relaxed spring, with initial velocity of v = 9.42 m/s. What is the length of the spring when the block compresses the spring and temporarily comes to a rest on the ramp? Round your answer to 2 decimal places.
Solution
1 0