Write three matlab functions that solve the general
We will consider the generalized linear system without damping which has an invertible mass
M x + Kx = 0
[tarray xarray] = SpringmassNUM(tspan,x0,v0,K,M)
This can use ODE4
1. Calculate the basis of the image 1 1 2 0 A= 1 0 2 1 and state its rank.
and kernal of the matrix 0 2 1 0 2 1 0 1 0 0 3 0
(a) Begin by either noticing the relations v1 + v2 = v4 , v3 = 0, (where vk is the kth column of A) or by reducing A to rref(A), at
KNOWN: Mixture of O2 and N2 with partial pressures in the ratio 0.21 to 0.79. FIND: Mass fraction of each species in the mixture. SCHEMATIC:
pO2 p N2
= 32 kg/kmol
N2 = 28 kg/kmol
ASSUMPTIONS: (1) Perfect gas behavior. ANALY
KNOWN: Various geometric shapes involving two areas A1 and A2. FIND: Shape factors, F12 and F21, for each configuration. ASSUMPTIONS: Surfaces are diffuse. ANALYSIS: The analysis is not to make use of tables or charts. The approach involves u
KNOWN: Rate at which radiation is intercepted by each of three surfaces (see (Example 12.1). FIND: Irradiation, G[W/m ], at each of the three surfaces. SCHEMATIC:
ANALYSIS: The irradiation at a surface is the rate at which radiation is inci
KNOWN: Initial overall heat transfer coefficient of a fire-tube boiler. Fouling factors following one year's application. FIND: Whether cleaning should be scheduled. SCHEMATIC:
ASSUMPTIONS: (1) Negligible tube wall conduction resistance, (2)
PROBLEM 6.1 KNOWN: Variation of hx with x for laminar flow over a flat plate. FIND: Ratio of average coefficient, h x , to local coefficient, hx, at x. SCHEMATIC:
ANALYSIS: The average value of hx between 0 and x is hx = hx hx Hence, 1 x C x h x dx = x -1
PROBLEM 5.1 KNOWN: Electrical heater attached to backside of plate while front surface is exposed to convection process (T,h); initially plate is at a uniform temperature of the ambient air and suddenly heater power is switched on providing a constant q .
KNOWN: Steady-state, one-dimensional heat conduction through an axisymmetric shape. FIND: Sketch temperature distribution and explain shape of curve. SCHEMATIC:
ASSUMPTIONS: (1) Steady-state, one-dimensional conduction, (2) Constant properties
KNOWN: Hot plate-type wafer thermal processing tool based upon heat transfer modes by conduction through gas within the gap and by radiation exchange across gap. FIND: (a) Radiative and conduction heat fluxes across gap for specified hot plat
PROBLEM 1.1 KNOWN: Heat rate, q, through one-dimensional wall of area A, thickness L, thermal
conductivity k and inner temperature, T1. FIND: The outer temperature of the wall, T2. SCHEMATIC:
ASSUMPTIONS: (1) One-dimensional conduction in the x-direction,
KNOWN: Method of separation of variables for two-dimensional, steady-state conduction.
FIND: Show that negative or zero values of 2, the separation constant, result in solutions which
cannot satisfy the boundary conditions.
MENG 301 MANUFACTURING PROCESSES I
The course enables students to understand:
Principles and operation of gas, arc, resistance, and other welding processes.
Basic concept of casting process, design of cast, casting defect and their reme
UNIT TWO: CLASSIFICATION AND PROPERTIES OF METALS AND THEIR ALLOYS
The knowledge of materials and their properties is of great significance for design and manufacturing.
The machine elements should be made of such a material which has pro