SOLVE WITHOUT ARTIFICIAL INTELLIGENCE PLEASE BY HAND AND LEGIBLE Calculate the center of mass of the following system Y(m) m1-2 kg m3 = 1 kg X(m) m2 = 4 kg

Express the mathematical relationship between stress and strain in case of elastic material.

According to Archimedes' principle, the buoyancy force acting on an object that is partially immersed in a fluid is equal to the weight that is displaced by the portion of the object that is submerged. A spherical float with a mass of m_f=70 kg and a diameter of 90 cm is displaced in the ocean (density is 1030 kg/m3). The height, h, of the portion of the float that is above water can be determined by solving an equation that is displaced by the portion of the float that is submerged: (Density)*(V_cap)3Dm_f where, for a sphere of Radius r, the volume of a cap (V_cap) of depth d is given by: V_cap3(1/3)*(pi)*(d*d)*(3*r - d) Write an equation for d and solve it for d using a Newton-Raphson Matlab script. Use relative error control (10A-5) percent. d=

Explain how you would solve the following problem using rectangularcomponents. Your friend swims diagonally across a 25 m by 10 m poolat 1 m/s. How fast would you have to walk around the edges of the poolto get to the same point at the same time as your friend?