The same force is applied to the edge of two hoops as the drawing below shows. the hoops have the same mass, whereas the radius of the larger hoop is twice the radius of the smaller one. the entire mass of each hoop is concentrated at its rim, so the moment of inertia is equal to , where is the mass of the hoop, and is the radius. which hoop has the greater angular acceleration, and how many times as great is it compared to the other hoop?

Acarpenter builds an exterior house wall with a layer of wood 2.9 cm thick on the outside and a layer of styrofoam insulation 2.3 cm thick on the inside wall surface. the wood has k=0.080w/(m⋅k), and the styrofoam has k= 0.010 w/(m⋅k). the interior surface temperature is 19.0 ∘c , and the exterior surface temperature is -15.0 ∘c . a.)what is the temperature at the plane where the wood meets the styrofoam? celsius b.)what is the rate of heat flow per square meter through this wall? /m^2