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...
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...
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...
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...
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...
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...
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) =...