Recent content by clarineterr

Nope...didn't work. :(

Homework Statement \frac{d^{2}y}{dt} +4\frac{dy}{dt}+20y=e^{-2t}(sin4t+cos4t) Homework Equations The Attempt at a Solution The solution to the homogeneous equation: \frac{d^{2}y}{dt} +4\frac{dy}{dt}+20y=0 is y= k1e^{-2t}cos4t +k2e^{-2t}sin4t Then I guessed ae^{-2+4i} as a...

Homework Statement Find a third degree polynomial approximation for the general solution to the differential equation: \frac{d^{2}y}{dt^{2}} +3\frac{dy}{dt}+2y= ln(t+1) Homework Equations Power series expansion for ln(t+1) The Attempt at a Solution The system to the...

Im sorry. How high must h be for the cyllinder to be able to go around the loop. At the top of the loop the only centripetal force is gravity if the cyllinder just makes it around the loop so v=\sqrt{grl} then I used mgh = 1/2mv^2 + 1/2Iw^2 + 2mgrl and if you v/r for w, the moment of...

Homework Statement A cyllinder of radius rc starts a height h above a loop the loop on a track. If the radius of the loop is rl, how high does h need to be. The cyllinder does not slip. Express the answer in terms of the radius of the loop. Homework Equations Conservation of energy...

Homework Statement A window washer of mass M is sitting on a platform suspended by a system of cables and pulleys as shown . He is pulling on the cable with a force of magnitude F. The cables and pulleys are ideal (massless and frictionless), and the platform has negligible mass.Find the...

Homework Statement A baseball is thrown straight up. The drag force is proportional to v^{2}. In terms of g, what is the y-component of the ball's acceleration when its speed is half its terminal speed and it is moving up? In terms of g, what is the y-component of the ball's acceleration...

Homework Statement A woman rides on a Ferris wheel of radius 16m that maintains the same speed throughout its motion. To better understand physics, she takes along a digital bathroom scale (with memory) and sits on it. When she gets off the ride, she uploads the scale readings to a computer...

I got \sqrt{\frac{gR^{2}}{4H}\left(\frac{4H^{2}}{R^{2}}+1\right)} ? I don't know if I simplified this right

Homework Statement A projectile is fired at a speed v0 from and angle \theta above the horizontal. It has a maximum height H and a range R (on level ground) Find: The angle \theta above the horizontal in terms of H and R The initial speed in terms of H, R and g and the time of the...

Homework Statement A cannon 60m horizontally from the base of a 25m cliff is fired with a speed of 32.6m/s at an angle of 43 degrees above the horizontal towards the cliff. How far does the shell land past the edge of the cliff assuming its elevation is constant Homework Equations y =...

A projectile is fired at a speed v0 from and angle \theta above the horizontal. It has a maximum height H and a range R (on level ground) Find: The angle \theta above the horizontal in terms of H and R The initial speed in terms of H, R and g and the time of the projectile in terms of...