Question

Suppose a body with mass 1kg is attached to a spring that is stretched 2m by...

Suppose a body with mass 1kg is attached to a spring that is stretched 2m by a force of 2N. There is also an externel force of cos(t) Newtons acting on the spring. At t = 0 the body is 1m to the left (in the usual picture) and has an initial velocity of 1m/s. Find x(t).

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
. A body with mass m = 0.5 kilogram (kg) is attached to the end of...
. A body with mass m = 0.5 kilogram (kg) is attached to the end of a spring that is stretched 2 meters (m) by a force of 100 newtons (N). Suppose that external force F(t) = 100 cos 3t also exerts on the mass and it is set in motion with initial position Xo = 1 (m) and initial velocity vo = -5 (m/s). (Note that these initial conditions indicate that the body is displaced to the right and...
A mass m is attached to a spring with stiffness k=25 N/m. The mass is stretched...
A mass m is attached to a spring with stiffness k=25 N/m. The mass is stretched 1 m to the left of the equilibrium point then released with initial velocity 0. Assume that m = 3 kg, the damping force is negligible, and there is no external force. Find the position of the mass at any time along with the frequency, amplitude, and phase angle of the motion. Suppose that the spring is immersed in a fluid with damping constant...
A spring with spring constant 4 N/m is attached to a 1kg mass and a dashpot...
A spring with spring constant 4 N/m is attached to a 1kg mass and a dashpot with damping constant 4 Ns/m.A periodic force equal to 2 cos(t) N is applied to this system. Assume that the system starts withx(0) = 1 andx′(0) = 2,
A body of mass equal to 4 kg is attached to a spring of constant k...
A body of mass equal to 4 kg is attached to a spring of constant k = 64 N / m. If an external force F (t) = 3/2 cos 4t is applied to the system, determine the position and speed of the body at all times; suppose that the mass was in position x (0) = 0.3 m and, at rest, at time t = 0 s
A frictionless block of mass 2.45 kg is attached to an ideal spring with force constant...
A frictionless block of mass 2.45 kg is attached to an ideal spring with force constant 320 N/mN/m . At t=0 the spring is stretched to 6 cm from the equilibrium position and released. Find the position of the block at t=5 s Find the velocity of the block at t=5 s Find the acceleration of the block at t=5 s
A frictionless spring with a 5-kg mass can be held stretched 0.8 meters beyond its natural...
A frictionless spring with a 5-kg mass can be held stretched 0.8 meters beyond its natural length by a force of 90 newtons. If the spring begins at its equilibrium position, but a push gives it an initial velocity of 1.5 m/sec, find the position of the mass after t seconds. Ans:
A mass is attached to the end of a spring and set into oscillation on a...
A mass is attached to the end of a spring and set into oscillation on a horizontal frictionless surface by releasing it from a stretched position. The position of the mass at any time is described by x = (6.6 cm)cos[2?t/(1.58 s)]. Determine the following. (a) period of the motion s (b) frequency of the oscillations Hz (c) first time the mass is at the position x = 0 (d) first time the mass is at the site of maximum...
A block of mass m = 0.53 kg attached to a spring with force constant 119...
A block of mass m = 0.53 kg attached to a spring with force constant 119 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.) The left end of a horizontal spring is attached to a vertical wall, and...
A spring is stretched by 7in by a mass weighing 17lb. The mass is attached to...
A spring is stretched by 7in by a mass weighing 17lb. The mass is attached to a dashpot mechanism that has a damping constant of .3 lb* s/ft and is acted on by an external force of 4cos(8t)lb. Determine the steady state response of this system. Use 32 ft/s2 as the acceleration due to gravity. Pay close attention to the units. U(t) = ? ft
13.5 A spring with a spring constant of 450 N/m is stretched 20 cm from the...
13.5 A spring with a spring constant of 450 N/m is stretched 20 cm from the equilibrium position. a) What is the magnitude of the spring force at x = 20 cm? b) If a 5 kg mass is attached to the spring, what will the maximum acceleration be if the spring is released from the x = 20 cm stretched position? c) Will the acceleration be the same as the spring passes the x = 10 cm position? If...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT