A spring with a mass of 2 kg has a damping constant 14 kg/s. A force of 3.6 N is required to keep the spring stretched 0.3 m beyond its natural length. The spring is stretched 0.6 m beyond its natural length and then released. Find the position of the mass at any time t. (Assume that movement to the right is the positive x-direction and the spring is attached to a wall at the left end.)
A spring with a mass of 2 kg has a damping constant 14 kg/s. A force...
A spring with a mass of 2 kg has a damping constant 14 kg/s. A force of 3.6 N is required to keep the spring stretched 0.3 m beyond its natural length. The spring is stretched 0.6 m beyond its natural length and then released. Find the position of the mass at any time t. (Assume that movement to the right is the positive x-direction and the spring is attached to a wall at the left end.)
(1 point) A spring with an m-kg mass and a damping constant 8 (kg/s) can be held stretched 1 meters beyond its natural length by a force of 5 newtons. If the spring is stretched 2 meters beyond its natural length and then released with zero velocity, find the mass that would produce critical damping. m = 80 kg
A spring with an mm-kg mass and a damping constant 3 (kg/s) can be held stretched 0.5 meters beyond its natural length by a force of 1 newtons. If the spring is stretched 1 meters beyond its natural length and then released with zero velocity, find the mass that would produce critical damping. m =
Ignore damping forces. A mass of 4 kg is attached to a spring with constant k- 16 N/m, then the spring is stretched 1 m beyond its natural length and given an initial velocity of 1 m/sec back towards its equilibrium position. Find the circular frequency ω, period T, and amplitude A of the motion. (Assume the spring is stretched in the positive direction.) A 7 kg mass is attached to a spring with constant k 112 N m. Given...
(1 point) A spring-mass system with a 5-kg mass and a damping constant 8-N sec/m can be held stretched 0.5 meters beyond its natural length by a force of 2.5 newtons. Suppose the spring is stretched 1 meters beyond its natural length and then released with zero velocity, In the notation of the text, what is the value y2 – 4mk? Find the position of the mass after t seconds. Your answer should be a function of the variable t...
A mass m = 1 kg is attached to a spring with constant k = 9 N/m and a dashpot with variable damping coefficient c. If the mass is to be pulled 8 m beyond its equilibrium (stretching the spring) and released with zero velocity, what value of c ensures that the mass will pass through the equilibrium position and compress the spring exactly 1 m before reversing direction?
A mass m = 1 1 kg is attached to a spring with constant k = 4 N/m and a dashpot with variable damping coefficient c. If the mass is to be pulled 7 m beyond its equilibrium (stretching the spring) and released with zero velocity, what value of c ensures that the mass will pass through the equilibrium position and compress the spring exactly 1 m before reversing direction? C =
A block of mass m = 0.59 kg is attached to a spring with force constant 128 N/m is free to move on a frictionless, horizontal surface as in the figure below. The block is released from rest after the spring is stretched a distance A = 0.13 m. (Indicate the direction with the sign of your answer. Assume that the positive direction is to the right.) (a) At that instant, find the force on the block. N (b) At that...
A 1-kg mass is attached to a spring with stiffness 45N/m. The damping constant for the system is 6 N-sec/m. The mass is pulled 1 m to the right of the equilibrium position and released. Find the equation of motion in phase-shift form. When will the mass first return to its equilibriom position, and at what velocity? A 1-kg mass is attached to a spring with stiffness 45N/m. The damping constant for the system is 6 N-sec/m. The mass is...
A block of mass m = 2.00 kg is attached to a spring of force constant k = 465 N/m as shown in the figure below. The block is pulled to a position xi = 4.70 cm to the right of equilibrium and released from rest. A spring labeled k has its left end attached to a wall and its right end attached to a block labeled m. The block is initially at a location labeled x = 0. It...