Question

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

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
When a mass of 4 kilograms is attached to a spring whose constant is 64 N/m,...
When a mass of 4 kilograms is attached to a spring whose constant is 64 N/m, it comes to rest in the equilibrium position. Starting at t = 0, a force equal to f(t) = 80e−4t cos 4t is applied to the system. Find the equation of motion in the absence of damping.
when a mass of 2 kg is attached to a spring whose constant is 32 N/m,...
when a mass of 2 kg is attached to a spring whose constant is 32 N/m, it come to rest in the equilibrium position. at a starting time t=0, an external force of y=80e^(-4t)*cos(4t) is applied to the system. find the motion equation in the absence of damping.
When a mass of 3 kilograms is attached to a spring whose constant is 48 N/m,...
When a mass of 3 kilograms is attached to a spring whose constant is 48 N/m, it comes to rest in the equilibrium position. Starting at t = 0, a force equal to f(t) = 51e−2t cos 4t  is applied to the system. Find the equation of motion in the absence of damping. x(t)= ?? m
A mass of 4 Kg attached to a spring whose constant is 20 N / m...
A mass of 4 Kg attached to a spring whose constant is 20 N / m is in equilibrium position. From t = 0 an external force, f (t) = et sin t, is applied to the system. Find the equation of motion if the mass moves in a medium that offers a resistance numerically equal to 8 times the instantaneous velocity. Draw the graph of the equation of movement in the interval.
A body of mass m = 18.6 kg is attached to a spring with force constant...
A body of mass m = 18.6 kg is attached to a spring with force constant k = 14.3 N/m. This body, which is initially at its equilibrium position, is given an initial velocity of v = 7.8 m/s. What is the speed of this body when it is at position x = - 2.0 m? An object starting at rest rotates with constant angular acceleration α = 0.3 rad/s2 . What is the angular displacement after t = 3.0...
a 3 kg mass is attached to a spring whose constant is 147 N/m, comes to...
a 3 kg mass is attached to a spring whose constant is 147 N/m, comes to rest in the equilibrium position. Starting at  t = 0, a force equal to  f (t)  =  12e−5t cos 2t  is applied to the system. In the absence of damping, (a) find the position of the mass when  t = π. (b) what is the amplitude of vibrations after a very long time?
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 spring-mass system has a spring constant of 3 N/m. A mass of 2 kg is...
A spring-mass system has a spring constant of 3 N/m. A mass of 2 kg is attached to the spring, and the motion takes place in a viscous fluid that offers a resistance numerically equal to the magnitude of the instantaneous velocity. (a) If the system is driven by an external force of (12 cos 3t − 8 sin 3t) N, determine the steady-state response. (b) Find the gain function if the external force is f(t) = cos(ωt). (c) Verify...
Consider an undamped spring with spring constant k = 9N/m and with a mass attached with...
Consider an undamped spring with spring constant k = 9N/m and with a mass attached with mass 4kg. We apply a driving force of F(t) = sin(3t/2). Solve the IVP for the position of the mass x(t) with the string initially at rest at the equilibrium (so x(0) = 0 and ˙x(0) = 0). (Hint: Guess a particular solution of the form Ct cos(3t/2) and find the constant C.)
A mass of 2 kg. is attached to a spring with spring constant k = 17/2...
A mass of 2 kg. is attached to a spring with spring constant k = 17/2 and damping constant of magnitude 2, with no external force.If the initial displacement is 2 m and the initial velocity is 3 m/s, find the position u(t) of the mass for any time t > 0. Graph u vs t in Desmos and attach a screenshot.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT