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1. ### Damped Oscillator probelm

Here's the problem: A damped oscillator has a mass of .05 kg, a spring constant of 5 N/m, and a damping constant of .4 Ns/m. At t=0, the mass is moving at 3.0 m/s at x=.1m. Find x as a function of time. What I have done: I know the damping constant b = .4 and I have used this to find...
2. ### Calculate the work done by a force

Yes...I have the forces for the dx direction to be zero. I'm still doing something wrong though?
3. ### Calculate the work done by a force

I get an answer of 2bL (1- x^2/a^2). This does not seem correct to me, since it contains an x^2 term? Is this right? Is there a substitution I can make for x? x=a or x=L, for instance? This problem is driving me crazy...any help greatly appreciated!
4. ### Calculate the work done by a force

So, for the first segment, dr = dyj. For the second segment, dr = dx i. For the third segment, dr = -dyj. For the fourth segment, dr = -dx i. Is this correct? Are the limits on my integration correct as well? Also, should the answer be 0 (closed path, conservative force...not sure if...
5. ### Calculate the work done by a force

I am asked to calculate the work done by a force as it moves around a path. The force is F = b(1-x^2/a^2)j. The path is a rectangle with coordinates at (0,0); (0,L); (a,L); (a,0). The force moves clockwise around the path beginning at the origin. A diagram is attached. I know work is...

Please help with this! Harmonic Motion Two masses m1=100 g and m2=100 g slide freely in a horizontal frictionless track and are connected by a spring whose force constant is k=.5 N/m. Find the frequency of oscillatory motion for this system. I know omega = sqrt (k/m), but I have two masses...
7. ### Need help - projectile motion with air resistance

Need urgent help -- projectile motion with air resistance Consider a projectile fired vertically in a constant gravitational field. For the same inital velocities, compare the times required for the projectile to reach its maximum height (a) for zero resisting force and (b) for a resisting...
8. ### Projectile Motion with air resistance - need help

Projectile Motion with air resistance -- need urgent help Consider a projectile fired vertically in a constant gravitational field. For the same inital velocities, compare the times required for the projectile to reach its maximum height (a) for zero resisting force and (b) for a resisting...
9. ### Projectile Motion - need help

Projectile Motion -- need urgent help :) If a projectile is fired from the origin of the coordinate system with an initial velocity v and in a direction making an angle alpha with the horizontal, calculate the time required for the projectile to cross a line passing thorugh the origin and...
10. ### Problem dealing with curl

Calculate the average value of the curl of the fluid for a rectangular path 15 cm by 10 cm, as shown in the figure (see file attachment). Va=(10i + 5j) Vb = (5i+10j) Vc= (5i + 10j) Vd = (10i + 5j) Could someone help me to get started with this one? Please :smile: Maybe give me an...
11. ### Expected Value Problem

Here goes: A potential customer for an 85000 dollar fire insurance policy possesses a home in an area that according to experience, may sustain a total loss in a given year with probability of .001 and a 50% loss with probability .01. Ignoring all other partial losses, what premium shoud the...