Haven't learned U=sinh(t). Only using u-sub, Trig sub, and parts. I think that's what is making it so long and messy. If any other suggestions it would be much appreciated.
1. Homework Statement [/b]
\int e^{3x}\sqrt{1+e^{2x}dx
Homework Equations
Substitution
Parts of Integration
The Attempt at a Solution
Started off using U substitution setting ex = to u. Then tried to use parts of integration. Now I am stuck.
Homework Statement
A block on a frictionless table is connected to two springs having spring constants k1 and k2. Show that the block's oscillation frequency is given by f = (f12 + f22).5 where f1 and f2 are the frequencies at which it would oscillate if attached to spring 1 or spring 2...
Homework Statement
Small loop of r=1+2sin2(theta)
Homework Equations
integral of .5[f(theta)]2 d(theta)
The Attempt at a Solution
I cannot figure out what the limits of integration are.
Homework Statement
Communications satellites are placed in a circular orbit where they stay directly over a fixed point on the equator as the Earth rotates. The radius of the Earth is 6.37 x 106m, and the altitude of a geosynchronous orbit is 3.58 x 107m. What are (a) the speed and (b) the...
The first part... I know you probably think I am crazy because I cannot grasp this but when did I work out that the other one was 20?
The second part... v = omega(r)?
One question first... how do we know the horizontal and vertical components are equal?
Ok, the angular velocity is 66.7 rad/s. Right? If so, then what?
tiny-tim, I think I got it. So add it in components? Add the vertical component (which would be the velocity of rim relative to the center) and the horizontal component (which is velocity of center relative to the ground) using Pythagorean theorem. Right?
Both of which are 20m/s?
dacruick, this is how we would analyze it in class so I like the last post. Some reason this problem is hard for me to picture. I cannot grasp the idea of the vectors cancelling. I can understand in my head why the instantaneous velocity of the point on the ground, but mathematically I cannot...