Recent content by AxeluteZero

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    Tension of a String attached to a string

    Homework Statement In figure (a) shown below, a 0.600-kg block is suspended at the midpoint of a 1.25-m-long string. The ends of the string are attached to the ceiling at points separated by 1.00 m. (a) What angle does the string make with the ceiling? 36.9° <--- I found this answer...
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    Series Convergence/Divergence Problem

    In terms of the series itself, the ACTUAL series I'm working with (with the extra -1) gets closer to zero more slowly than the other. I can't use the comparison, ratio/root, or integral tests on this either. Only the geometric series formula. So, in other words... The top term oscillates...
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    Series Convergence/Divergence Problem

    Ah, thank you!
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    Series Convergence/Divergence Problem

    Homework Statement Does the series converge or diverge? Give reason for your answer; if it converges, find its sum. \infty\sum n=0 \frac{(-1)^{(n+1)} * 3 - 1}{2^n} Homework Equations If |r|<1, the geometric series converges to a/(1-r). If |r|> or = 1, it diverges. The Attempt at...
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    What is the proper heading for the plane in the Classic Airplane Problem?

    Ok I solved for Vr and for theta, but I can't use either of them since there's still the other variable in the equation. IE theta is still in the Vr equation (and I don't know it) and I have Vr in the theta equation. And plugging either equal to each other makes it unsolvable. I end up with a...
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    What is the proper heading for the plane in the Classic Airplane Problem?

    Homework Statement A small plane departs from point A heading for an airport 490 km due north at point B. The airspeed of the plane is 210 km/h and there is a steady wind of 50 km/h blowing directly toward the southeast. (a) Determine the proper heading for the plane. ° west of north...
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    Changing the Variable of Integration

    Homework Statement Suppose the acceleration of a particle is a function of x, where ax(x) = (2.0 s-2)x. (a) If the velocity is zero when x = 1.0 m, what is the speed when x = 2.7 m? (b) How long does it take the particle to travel from x = 1.0 m to x = 2.7 m? Homework Equations...
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    Finding an Equation through Integrals

    Position Function from Constant Acceleration Equation Homework Statement The acceleration of a certain rocket is given by ax = bt, where b is a positive constant. (a) Find the position function x(t) if x = x0 and v0 at t = 0. (Use x_0 for x0, v_0 for v0, b, and t as necessary.) x(t) =...