Result :- m = 3.2kg
(1 point) A spring with an m-kg mass and a damping constant 8 (kg/s) can be...
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 =
(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 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 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 frictionless spring with a 7-kg mass can be held stretched 0.6 meters beyond its natural length by a force of 70 newtons. If the spring begins at its equilibrium position, but a push gives it an initial velocity of 1 m/sec, find the position of the mass after t seconds. 0.244sin(4.08t) meters
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) Consider a spring attached to a 1 kg mass, damping constant 6 = 9, and spring constant k = 20. The initial position of the spring is -1 metres beyond its resting length, and the initial velocity is 2 m/s. After 1 second, a constant force of 60 Newtons is applied to the system for exactly 2 seconds. Set up a differential equation for the position of the spring y (in metres beyond its resting length) after 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 =
6. (12pts) A spring with a mass of 1 kg has damping constant 10 kg/s and a spring constant 41 kg/s2. If the spring begins at equilibrium position and is given a velocity of 2 m/s, find the position of the mass at any time t. Is this overdamping, critical damping or underdamping?