Homework Answers
A mass m = 1 1 kg is attached to a spring with constant k =...
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 = 6.14 kg is attached to a spring with spring constant...
A block of mass m = 6.14 kg is attached to a spring with spring constant k = 1682 N/m and rests on a frictionless surface. The block is pulled, stretching the spring a distance of 0.135 m, and is held still. The block is then released and moves in simple harmonic motion about the equilibrium position. (Assume that the block is stretched in the positive direction.) (b) Where is the block located 3.24 s after it is released? (Give...
Ignore damping forces. A mass of 4 kg is attached to a spring with constant k- 16 N/m, then the s...
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...
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...
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 = 6.04 kg is attached to a spring with spring constant...
A block of mass m = 6.04 kg is attached to a spring with spring constant k = 1572 N/m and rests on a frictionless surface. The block is pulled, stretching the spring a distance of 0.170 m, and is held still. The block is then released and moves in simple harmonic motion about the equilibrium position. (Assume that the block is stretched in the positive direction.) (a) What is the frequency of this oscillation? 2.57 Hz (b) Where is...
A mass m is attached to both a spring (with given spring constant k) and a...
A mass m is attached to both a spring (with given spring constant k) and a dashpot (with given damping constant c). The mass is set in motion with initial position X, and initial velocity vo Find the position function x(t) and determine whether the motion is overdamped, critically damped, or underdamped. If it is underdamped, write the position function in the form x(t) =C, e-pt cos (0,t-a). Also, find the undamped position function u(t) = Cocos (0,0+ - )...
a mass of .50kg is attached to the end of a spring with constant k=15n/m if...
a mass of .50kg is attached to the end of a spring with constant k=15n/m if the mass is pulled out .10m beyond the equilibrium position and released from rest, how fast will it be , moving when It crosses back through the equilibrium position
A block of mass m 2.00 kg is attached to a spring of force constant k-...
A block of mass m 2.00 kg is attached to a spring of force constant k- 525 N/m as shown in the figure below. The block is pulled to a position x 4.00 cm to the right of equilibrium and released from rest. (o) Find the speed the block has as it passes through equilibrium if the horizontal surface is frictionless m/s (b) Find the speed the block has as it passes through equilibrium (for the first time) if the...
A 1-kg mass is attached to a spring with stiffness 10 N/m. The damping constant for...
A 1-kg mass is attached to a spring with stiffness 10 N/m. The damping constant for the system is 7 N-sec/m. If the mass is pulled^ m to the left of equilibrium and given an initial rightward velocity of 4 m/sec a) Find and solve the equation of motion governing the system b) State the type of motion for the system? c) When will the mass first return to its equilibrium position?
An ideal mass m is sitting on a plane,attached to a rigid surface via a spring. The spring consta...
An ideal mass m is sitting on a plane,attached to a rigid surface via a spring. The spring constant is k, damping coefficient is c, and r(t) is the displacement of the mass with respect to the equilibrium position at time t. damper r 丑 spring Whent 0, we start to measure this of mass v(0)0 system and displacement o )1, velocity a) How many times will the mass pass through the equilibrium position in one b) Please find the...
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 =
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...
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 = 6.04 kg is attached to a spring with spring constant k = 1572 N/m and rests on a frictionless surface. The block is pulled, stretching the spring a distance of 0.170 m, and is held still. The block is then released and moves in simple harmonic motion about the equilibrium position. (Assume that the block is stretched in the positive direction.) (a) What is the frequency of this oscillation? 2.57 Hz (b) Where is...
A mass m is attached to both a spring (with given spring constant k) and a dashpot (with given damping constant c). The mass is set in motion with initial position X, and initial velocity vo Find the position function x(t) and determine whether the motion is overdamped, critically damped, or underdamped. If it is underdamped, write the position function in the form x(t) =C, e-pt cos (0,t-a). Also, find the undamped position function u(t) = Cocos (0,0+ - )...
A block of mass m 2.00 kg is attached to a spring of force constant k- 525 N/m as shown in the figure below. The block is pulled to a position x 4.00 cm to the right of equilibrium and released from rest. (o) Find the speed the block has as it passes through equilibrium if the horizontal surface is frictionless m/s (b) Find the speed the block has as it passes through equilibrium (for the first time) if the...
A 1-kg mass is attached to a spring with stiffness 10 N/m. The damping constant for the system is 7 N-sec/m. If the mass is pulled^ m to the left of equilibrium and given an initial rightward velocity of 4 m/sec a) Find and solve the equation of motion governing the system b) State the type of motion for the system? c) When will the mass first return to its equilibrium position?
An ideal mass m is sitting on a plane,attached to a rigid surface via a spring. The spring constant is k, damping coefficient is c, and r(t) is the displacement of the mass with respect to the equilibrium position at time t. damper r 丑 spring Whent 0, we start to measure this of mass v(0)0 system and displacement o )1, velocity a) How many times will the mass pass through the equilibrium position in one b) Please find the...
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