A particle P travels along an elliptical spiral path such that its position vector r is defined by r = 52 cos(0.1t)i + 1.5 sin(0.1t)j + (2t)k6 m, where t is in seconds and the arguments for the sine and cosine are given in radians. When t = 8 s, determine the coordinate direction angles a, b, and g, which the binormal axis to the osculating plane makes with the x, y, and z axes. Hint: Solve for the velocity vP and acceleration aP of the particle in terms of their i, j, k components. The binormal is parallel to vP * aP. Why?

Systems Wednesday, March 9, 22:43 PM • System ○ Definition: a domain of investigation ○ Thermodynamic System: the collection of matter or region of space ○ To define a system, must also define the environment or surroundings ○ Zero mathematical thickness of a system ○ The boundary is shared by both system and surroundings ○ Properties vary continuously across the surface of the boundary § There is no jump in properties across the boundary ○ Types: § Isolated □ A system that doesn’t allow transfe