Recent content by ACE_99

If I do that then the integral becomes I = -0.0121\int (u^1^/^5 - u^6^/^5) = -(0.0121)[(5/6)u6/5 - (5/11)u11/5] So in order to get a solution I would also need to change the initial limits of integration using u = (1-(r/0.11)). If my initial limits of integration were 0 to 0.11 after...

The first substitution that comes to mind is to let u = (1-(r/0.11)) so du = -1/0.11 dr. Rearranging for dr I get dr = -0.11du. If I sub this into the integral I still have an r in the equation. From here I rearranged the expression u = (1-(r/0.11)) for r to get r = (1-u)(0.11). If I sub...

Homework Statement I'm just having a bit of trouble with where to start on this integral. \int[1 - (r/0.11)]^1^/^5rdr The Attempt at a Solution I've tried using integration by parts, "u" substitution and things like that but I don't seem to be getting anywhere with this. Any help...

Ya that was just a typo. Thanks for your help

Based on what rl.bhat stated I managed to figure out the following. mtube + \rhosVsph = [Vcyl sub + Vsph]\rhow isolate for Vsph to get Vsph = Vcyl\rhow - 5 kg / \rhow + \rhow Solving for Vsphere I get V = 0.011962 therefore making the mass 9.39 kg.

Homework Statement Suppose a buoy is made of a sealed steel tube of mass 5 kg with a diameter D = 7 cm and a length of 6 meters. At the end of the buoy is a spherical weight of galvanized steel (specific gravity=7.85). If the buoy floats in fresh water, what must be the mass of the steel M...

Homework Statement In sand casting, the sprue should be tapered. If a sprue with a constant cross-sectional area is used, aspiration may take place whereby air will be sucked in or entrapped in the molten metal, causing defects in the resulting casting. To avoid aspiration, show that the...

Thanks for replies guys. With your method tiny-tim, I'm still not sure how I could use this to find what I'm looking for. Could you elaborate a bit? Reading through your questions got my mind thinking but I'm still stumped. Any more helpful ideas?

The metronome is one similar to the one in the link below. http://www.concertpitchpiano.com/Wittner_metronome_mahogany.jpg"

Homework Statement Determine the equations governing the oscillations of a metronome. The Attempt at a Solution I believe that it has something to do with simple harmonic motion but I'm not sure where to start. Any help would be great.

Homework Statement Using masses, springs a stop watch and ruler, determine the location of the center of mass and mass moment of inertia about an axis passing through the center of mass of a bicycle crank. The Attempt at a Solution I've been staring at this problem for a while now...

Homework Statement Two large tanks are separated by a wall 20 cm thick, as shown in the figure below. One tank is filled with oil with ρoil = 876 kg/m3 and μoil = 0.45 Ns/m2. The other is filled with water with ρwater = 998 kg/m3 and μwater = 0.00100 Ns/m2. The depths of fluid in the two tanks...

Homework Statement What pressure Pr, is required to achieve a flow rate of 10 m/s into the underwater reservoir if the tank is 100 m below the surface. Liquid ammonia is to be transferred with a density of 682 kg/m^3 and the pipe diameter is 5 cm. The reservoir underwater is at local...

Homework Statement At a point upstream the measured mass flow rate is 10 kg/s, downstream of this location the velocity profile is measured and obeys the relationship u(r) = U(max)(1-(r/R)^(1/5)) where R is 0.16 m. Find U(max). The diagram provided with the question is provided below...

Thanks LowlyPion, that helps a lot.