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    O.D.E. for a Building

    You can model vibrations using a spring and a damper. If you call the building your mass, take the spring as your foundation or steel memebrs, use the ground or air as your damper and your forcing function on the RHS would be a trigonometric function such as sin or cos. In order to get a...
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    A Laplace Inverse Problem

    Factor out the real root, then preform partial fractions on the denominator, split up your expression into two, and solve. Regards, Nenad
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    Mass Spring System

    The question strictly states that the motion should be modeled by ODE's and that linear momentum cannot be used (even though in hinsight they are the same). Either way, I found out that the one spring system can be used, but only to model the CM of each vehicle. It cannot be used to...
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    Mass Spring System

    Good day all, I've got a rather puzzeling question on hand that is part of my Dynamic project. I need to model the collision of two vehicles. Each vehicle is traveling head on to the other, and each one has a spring attached to its front. We can assume that the final velovity after collision...
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    Children Are Source Of Embarrassment

    The reason the bike does not tip over when moving is because of a gyroscopic property called precession. When the bike is not moving, any lateral force on the bike tire creates a torque about the centre. This torque makes the bike tip. Once the bike is moving, this torque is still there, but...
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    Find the torque on the door

    The torque created about an axle or a ploint is the force times the perpendicular distance from the axle to the point of force. Regards, Nenad
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    Velocity of mass

    just think about that inelastic collision means and use conservation of linear momentum. Regards, Nenad
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    Magnitude of Displacement

    Magnitude of displacement is distance, with a unit of meters. It still has a unit of meters but it does not have a direction. If the magnitude is 1, this does NOT mean that in one second the distance traveled is 1. You are thinking about speed of 1m/s. No, the magnitude of displacement cannot...
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    Creating Gravity Waves

    Thanks for the input. Regards, Nenad
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    Creating Gravity Waves

    I read somewhere that the optimum way for space travellers to travel would be to use general relativity to its best, and vreate a gravitational well, so to speak, or to bent the spacetime in front of their desided direction, thus causing them to be pulled in and creating motion. The article...
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    Physics Question Regarding Densities of Spheres

    yes, this will give you the density, just rememner that you need to find density in grams per cm^3 or kg per m^3. You need to make sure you convert from volume of water to the metric system. 1000L = 1m^3. Regards, Nenad
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    Creating Gravity Waves

    Well, why would only large events such as novas and black holes be the only source for gravity waves. There is no actual theoretical way that physicists can manipulate spacetime yet?
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    Magnetism, Gauss

    check this site out: Regards, Nenad
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    Creating Gravity Waves

    Has any reaserch facility in the world developed a way to create gravity waves, sizable ones? Regards, Nenad
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    Golden ratio and physics? Regards, Nenad
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    Find the angle theta at which the ladder leaves the wall

    We are not here to solve arbitrary problems, if you want to know how to approach th problem, draw the free body diagram, label all of your axis, create your force equations and work form there. Try doing this first, if you get stuck, come and ask. Regards, Nenad
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    An acceleration problem

    Im assuming you meant to write "constant acceleration". The rest looks correct. Regards, Nenad
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    General Questions: Motion in One Dimension

    No its not what you said, you can have an average speed of any number while having the average velocity be 0. Imagine a car traveling in an oval course, the displacement is 0, but the distance traveled is the length of the track. Now tell me, is the magnitude of the average velocity equal to the...
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    Find the angle theta at which the ladder leaves the wall

    Nobody is going to solve your problems for you, try telling us what you are stuck with. Regards, Nenad
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    Highway Curves

    Read the policies of the site, do not post solutions. Regards, Nenad
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    Find the velocity of the rain with respect to the car and the Earth

    You don't even need any Transformations, just use trigonometry. You can construct a right angled triangle. Regards, Nenad
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    General Questions: Motion in One Dimension

    Thats a lot of questions to answer, General Relarivity and when dealing with gravity, the earth cannot be taken as a particle. Your first statement is incorrect, velocity is displacement over time, your second statement is correct, average velocity is not related to average speed. Correct...
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    An acceleration problem

    What about it, he needs to find instantaneous velocity at 1.5 seconds, not acceleration. Regards, Nenad
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    Golden ratio and physics?

    Im firly sure the golden ratio is seen in the structure of galacies and spiral galaxies in the universe. Regards, Nenad
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    Engineer - Partial Differential Equations

    well, I dont see how you could handle fluid dynamics, fluid mechanics and heat transfer without partial differentials. I would stongly suggest you take the course. Regards, Nenad
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    An acceleration problem

    Im assuming it is, but you might be right, since it is a rocket, acceleration might vary, but I doubt it since no mass is lost. Its not a momentum problem where they give you the mass flow rate out, I think its a simple kinematics problem, thats why I assumed constant acceleration. Regards...
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    Center of mass for high jumper

    To answer your second question, I think its because of the sticks shape. Due to the non uniformity of the stick, the centre of mass is not at the exact middle of the shaft, also, becuase of this, when the stick rotates on the ice about its centre of mass, it will have different frictional forces...
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    Series again

    This series converges absolutely by the p-series test. I dont see why you have to look for any limits or to check it is decreases. If it comverges absolutely, then it converges. Regards, Nenad
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    Magnet's attraction/rejection Force

    You draw your free body diagram, you will see that the force you need to move the object will need to overcome the friction force. So the same approach is taken as in the first case, the force you need to move the 1kg object the distance is a little bit more than your friction force, as in the...
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    What is the limiting value of his average velocity?

    I would assume that his average velocity is 0, since it takes him an infinite time to reach the lettuce. As for instantaneous velocity, lower limit would be 0, upper limit I am not sure of, I think it would be highest on the first hop towards the lettuce. Regards, Nenad