Question

An object has a mass of 2 Kg. It is attached to a spring that has...

An object has a mass of 2 Kg. It is attached to a spring that has a constant of K=10 N/m and also a damping force of 4 times the velocity. The object begins at 1 m below equilibrium and has a beginning velocity of 1 m/s toward equilibrium( upward) . Solve for the position x(t). Is the spring overdamped, underdamped or critically damped?

Homework Answers

Know the answer?
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
Similar Questions
A small object of mass 1 kg is attached to a spring with spring constant 2...
A small object of mass 1 kg is attached to a spring with spring constant 2 N/m. This spring mass system is immersed in a viscous medium with damping constant 3 N· s/m. At time t = 0, the mass is lowered 1/2 m below its equilibrium position, and released. Show that the mass will creep back to its equilibrium position as t approaches infinity.
Consider the mass-spring systems with spring constant 1 and damping constant b. For which values of...
Consider the mass-spring systems with spring constant 1 and damping constant b. For which values of b is this system underdamped, overdamped, undamped, or critically damped?
11.2 A mass oscillates on a spring of force constant 25.0 N/m and is subjected to...
11.2 A mass oscillates on a spring of force constant 25.0 N/m and is subjected to a damping force Fx = ?bvx , where b = 2.40 kg/s. (a) What special value of the mass m determines whether the mass undergoes underdamped oscillations, is critically damped, or is overdamped? (b) If m is eight times this special value, how long does it take for the amplitude to be reduced by 50%? What is the period of the oscillation? Plot the...
A block moving on the end of a spring with a force constant ? = 2.5...
A block moving on the end of a spring with a force constant ? = 2.5 ?⁄? is acted on by a damping force ?? = −???. (a) If the constant b has the value 0.9 kg/s, what is the frequency of oscillation of the block? (b) For what value of b will the motion be critically damped? (c) Draw brief sketches and explain the difference between underdamped, critically damped and overdamped oscillations.
A block moving on the end of a spring with force constant ? = 2.5 ?⁄?...
A block moving on the end of a spring with force constant ? = 2.5 ?⁄? is acted on by a damping force ?(?) = −??(?) (a) If the constant b has the value 0.9 kg/s, what is the frequency of oscillation of the block? (b) For what value of b will the motion be critically damped? (c) Draw brief sketches and explain the difference between underdamped, critically damped and overdamped oscillations.
An object with mass 2.5 kg is attached to a spring with spring stiffness constant k...
An object with mass 2.5 kg is attached to a spring with spring stiffness constant k = 270 N/m and is executing simple harmonic motion. When the object is 0.020 m from its equilibrium position, it is moving with a speed of 0.55 m/s. (a) Calculate the amplitude of the motion. ____m (b) Calculate the maximum velocity attained by the object. [Hint: Use conservation of energy.] ____m/s
A 1-kg mass is attached to a spring whose constant is 16 N/m and the entire...
A 1-kg mass is attached to a spring whose constant is 16 N/m and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 10 times the instantaneous velocity. Determine the equation if (A) The weight is released 60 cm below the equilibrium position. x(t)= ; (B) The weight is released 60 cm below the equilibrium position with an upward velocity of 17 m/s. x(t)= ; Using the equation from part b, (C)...
A body weighing 1 [kg] is attached to a spring hanging from the ceiling. The spring...
A body weighing 1 [kg] is attached to a spring hanging from the ceiling. The spring stiffness constant is k = 6k = 6 [N / m]. The medium surrounding the system offers resistance proportional to body speed with a damping constant: µ = 5μ = 5 [N.s / m]. The body's center of mass is initially at a distance of 1 [m] below the equilibrium point, then the body is released by printing an upward velocity of 44 [m...
A 1-kilogram mass is attached to a spring whose constant is 18 N/m, and the entire...
A 1-kilogram mass is attached to a spring whose constant is 18 N/m, and the entire system is then submerged in a liquid that imparts a damping force numerically equal to 11 times the instantaneous velocity. Determine the equations of motion if the following is true. (a) the mass is initially released from rest from a point 1 meter below the equilibrium position x(t) = m (b) the mass is initially released from a point 1 meter below the equilibrium...
A 0.5-kg mass is attached to a spring with spring constant 2.5 N/m. The spring experiences...
A 0.5-kg mass is attached to a spring with spring constant 2.5 N/m. The spring experiences friction, which acts as a force opposite and proportional to the velocity, with magnitude 2 N for every m/s of velocity. The spring is stretched 1 meter and then released. (a) Find a formula for the position of the mass as a function of time. (b) How much time does it take the mass to complete one oscillation (to pass the equilibrium point, bounce...