Sam wraps a string around the inner axle of a 0.130-kg yo-yo. (a yo-yo consists of a small inneraxle sandwiched between two large outer disks). while holding onto the free end of the string, sam releases the yo-yo from rest. as the yo-yo falls, sam holds the free end of the string at afixed distance above the floor. the yo-yo falls with an acceleration of g/6. each outer disk has aradius of 17.0 mm and the inner axle has a radius of 5.00 mm. what is the moment of inertia of the yo-yo? find both an expression and a numerical value.

Molten iron fills a mould, which has a volume of 200 cm cubed. calculate the volume when the iron cools and solidifies. molten iron has a density of 7.0g/cm cubed. in its solid state, iron has a density of 8.0g/cm cubed.

A5 foot by 5 foot box culvert is buried 6 feet beneath the surface of the ground. a crosssection of this very long culvert (into and out of the page) is illustrated below. assume that the soil in which the culvert is buried has the following properties: jt = 120 pcf, w = 12%, ko = 0.50, ka = 0.33, and kp = 3.00. calculate the total horizontal force per unit length of culvert (fh) felt on one of the vertical faces of the culvert.

Asquare 1m x 1m plate is shown below. all four of its edges are kept at 0 co. at t=0the temperature distribution is given by: y xtsins n75)=.a) using separation of variables determine the temperature distribution t(x,y,t)along the plate at any time t.b) discretize the heat conduction equation +=22222 txtusing a second-order centered difference scheme for the two second derivatives and a first-order forward euler scheme for the first derivative. using von neumann stability analysis, determine the stability criterion for the proposed discretization scheme in terms of , hand t. solve for the maximum allowable time step tmax