Recent content by topgun08

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    Geometric Distribution

    After much deliberation here's what I arrived at. Consider both machines as biased coins such that Tails means the machine fails and Heads means it runs. Thus for Machine1 and Machine 2, Pr[T1] = p1 and Pr[H1] = 1-p1 Pr[T2] = p2 and Pr[H2] = 1-p2 So the running of both machines can be...
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    Geometric Distribution

    Question: Two faulty machines, M1 and M2, are repeatedly run synchronously in parallel (i.e., both machines execute one run, then both execute a second run, and so on). On each run, M1 fails with probability p1 and M2 with probability p2, all failure events being independent. Let the random...
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    Geometric Distribution

    Question: Two faulty machines, M1 and M2, are repeatedly run synchronously in parallel (i.e., both machines execute one run, then both execute a second run, and so on). On each run, M1 fails with probability p1 and M2 with probability p2, all failure events being independent. Let the random...
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    Random Variables - Distribution and Expectations

    Here is the homework question. I only have an issue with part c but have shown all my work up until then. Any help is appreciated! Mr and Mrs Brown decide to continue having children until they either have their first boy or until they have five children. Assume that each child is equally...
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    Flip-Flops and Shift Registers

    Homework Statement For the system of Fig. 1, construct a complete state diagram showing all 16 states of the system. Your diagram should have 16 circles, numbered 0000 through 1111, connected with arrows showing which state each state goes to after one tick of the clock. Interestingly, this...
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    Ball thrown into a vertical jet?

    Ball thrown into a vertical jet??? Homework Statement Like any good physicist, I always have a ball in my pocket to throw into the vertical jet of any fountain I happen to find. The result is entertaining (at least I think so). Explain, with a sketch, what you expect to see (you need not...
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    Marble Shoot Loop-the-Loop

    thanks for the help. much appreciated!
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    Statics and CM - Ladder Problem

    Homework Statement A uniform ladder length L stands upon the ground; the coefficient of friction there is μ . It leans safely against a smooth (friction-free) wall with the base of the ladder at an angle ! to the horizontal. Jim is the same weight mg as the ladder, and so is Jim's friend...
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    Marble Shoot Loop-the-Loop

    Okay here is what I have After checking out the equations and realizing what your normal force hint was all about. PEtotal=mgD KEat any point = .5mv2 + .5Iw2 Using the known formulas for a sphere's moment of inertia and for angular acceleration... I = 2/5mr2 w = v/r I substitute these...
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    Tension in string of pendulum

    The below information may not be correct... Perhaps start with drawing a Free Body Diagram at the degree angle. Their is T tension, the force downward mg, and the force balancing tension, mgsin(theta). Summing the forces to find the centripetal Force one gets: Centripetal Force = T -...
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    Marble Shoot Loop-the-Loop

    oh don't worry about it. Its not actually homework or anything. Its just to help me practice for the midterm which is on Thursday for me. Goodluck
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    Marble Shoot Loop-the-Loop

    hmmm....What should my next step be? At height H on the loop-the-loop what will cause the marble to fall/not fall?
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    Marble Shoot Loop-the-Loop

    So at the top of the loop-the-loop, mgD = mgH + .5Iw2 + .5mvH2. The marble will not fall with the same force it will fall. So at the top of the loop, the marble would fall if both rotational and kinetic energy were not up to par??? But I can't seem to figure out when the normal force of...
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    Marble Shoot Loop-the-Loop

    Thank you for the help! I should have realized this was an energy problem. PE = mgD KE (at the beginning of the ramp) = .5mv2 + .5Iw2 Now I don't know how fast the ball has to move at the top of the loop to not fall off.... Thank you so far though!
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    Marble Shoot Loop-the-Loop

    Homework Statement A popular pastime used to be to construct helter-skelters: tracks along which to roll (without slipping) a ball (a marble say, or ball bearing). I made one that mimics a fairground loop-the-loop (see attached .jpg). If the drop from start to base of the loop is D, and the top...
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