Recent content by Ceva

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    Olympiad Mechanics problem (torque)

    Here it is. Now i find mg = N(μ2 + 1)1/2 .
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    Olympiad Mechanics problem (torque)

    And also a tension from the wire itself? Friction, weight and the normal force give a resultant to the right (normal) so i need another one to the left. Right?
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    Find the voltage needed to accelerate the electron from rest

    The electron gains kinetic energy when moving at the speed you found. Think of the conservation of energy and from where it gained that energy.
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    Olympiad Mechanics problem (torque)

    Equilibrium for forces gives that. mg downward and the friction directly upward? Isn't it so?
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    Olympiad Mechanics problem (torque)

    Directly above m, inside the hoop, but can i do that? Will the rotating shaft and hoop-wire come in that position? I thought that they would remain in the same positions relative to each other. And anyway, now we have mg = Friction, as expected and for the torques i cannot produce any equation...
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    Olympiad Mechanics problem (torque)

    Sure, it's better to guide first! Maybe if i treat it like it doesn't actually pass through O but for a very small angle, you can assume it does?
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    Olympiad Mechanics problem (torque)

    How is that possible for positions of M different than the two on the vertical axis (lowest and highest point)?
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    Olympiad Mechanics problem (torque)

    Ah yes, i think i can see it. It's like the top of the shaft (point of contact) "pushes" the hoop as it rotates. Anyway, what other torque do we have except of mg's when taking moments abouy O? Any idea?
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    Olympiad Mechanics problem (torque)

    Yes mg is the only force to produce a nonzero torque about O.The equation i wrote is for the equilibrium state, where the torques should result to zero. But the other forces give zero torque. How can equilorium happen if there is only one torque about O? The torque of mg is zero only if the...
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    Olympiad Mechanics problem (torque)

    Hello, there is a not-hard-at-all problem i am struggling with and i am must be missing something. 1. Homework Statement An end of a light wire rod is bent into a hoop of radius r. The straight part of the rod has length l; a ball of mass M is attached to the other end of the rod. The...
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    One 3rd degree equation with two variables. Can it be a solution?

    Okay, i found the solution. I solved with respect to y and what was over the root must be a square number in order to be an integer. From there it wasn't difficult to find the solutions. Thanks for your help!
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    One 3rd degree equation with two variables. Can it be a solution?

    Hello this is my first post here. I found a problem in algebra which i cannot solve and don't even know if there are solutions as asked. It is that one: Homework Statement Find all the integer solutions (x,y) that satisfy the equation:Homework Equations ×3-727× = y3 - 727yThe Attempt at a...
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