English For Business and Presentation
Prof. Jason Ellis
Cultural Difference in Business
What we will talk about
Cultural differences in busine
Respect and Hierarchy
Rule-Centered vs. Relationship-Centered
How cultural differences affect communi
Problems and Solutions Section 7.6 (7.25-7.31) 7.25 Referring to Section 5.4 and Window 5.3, calculate the receptance matrix of equation (7.25) for the following two-degree-of-freedom system, without using the system's mode shapes.
2 0 x1 3 -1 x1 6 -2 x1
Problems and Solutions Section 7.5 (7.20-7.24) 7.20 Using the definition of the mobility transfer function of Window 7.4, calculate the Re and Im parts of the frequency response function and hence verify equations (7.15) and (7.16). Solution: From Window
Problems and Solutions for Section 7.4 (7.10-7.19) 7.10 Consider the magnitude plot of Figure P7.10. How many natural frequencies does this system have, and what are their approximate values?
10 10 10 10
Problems and Solutions Section 7.3 (7.6-7.9) 7.6 Represent 5 sin 3t as a digital signal by sampling the signal at /3, /6 and /12 seconds. Compare these three digital representations. Solution: Four plots are shown. The one at the top far right is the exac
Problems and Solutions Section 7.2 (7.1-7.5) 7.1 A low-frequency signal is to be measured by using an accelerometer. The signal is physically a displacement of the form 5 sin (0.2t). The noise floor of the accelerometer (i.e. the smallest magnitude signal
Problems and Solutions Section 8.6 (8.50 through 8.53)
Consider the machine punch of Figure P8.15. Recalculate the fundamental
natural frequency by reducing the model obtained in Problem 8.16 to a single
degree of freedom using Guyan reduction.
Problems and Solutions Section 8.5 (8.44 through 8.49)
Derive a consistent-mass matrix for the system of Figure 8.9. Compare the
natural frequencies of this system with those calculated with the lumped-mass
matrix computed in Section 8.5.
Problems and Solutions Section 8.4 (8.34 through 8.43)
Refer to the tapered bar of Figure P8.13. Calculate a lumped-mass matrix for this
system and compare it to the solution of Problem 8.13. Since the beam is tapered,
be careful how you divide up th
Problems and Solutions Section 8.3 (8.21 through 8.33)
Use equations (8.47) and (8.46) to derive equation (8.48) and hence make sure
that the author and reviewer have not cheated you.
u( x, t ) = C1 (t ) x 3 + C2 (t ) x 2 + C3 (t ) x + C4 (
Problems and Solutions Section 8.1 (8.1 through 8.7)
Consider the one-element model of a bar discussed in Section 8.1. Calculate the
finite element of the bar for the case that it is free at both ends rather than
Solution: The finit
Problems and Solutions Section 8.2 (8.8 through 8.20)
Consider the bar of Figure P8.3 and model the bar with two elements. Calculate
the frequencies and compare them with the solution obtained in Problem 8.3.
Assume material properties of aluminum, a
Steam enters a horizontal pipe operating at st
eady state with a specific enthalpy of 3000 kJ/
kg and a mass flow rate of 0.5 kg/s. At the exi
t, the specific enthalpy is 1700 kJ/kg. If there i
s no significant change in kinetic energy from
Steam enters a turbine operating at steady-state with a mass flow rate
of 4600 kg/h. The turbine develops a power output of 1000 kW. At
the inlet the pressure is 60 bars, the temperature is 400C and the
velocity is 10 m/s. At the exit the pressure
- : 5 18
1. The data listed below are claimed for a power cycle operating between hot and cold reservoirs
at 1000 K and 300 K, respectively. For each case, determine whether the cycle operates reversibly,
operates irreversibly, or is impossible.
The data listed below are claimed for a power cycle operating
between hot and cold reservoirs at 1000K and 300K. For each
case, determine whether the cycle operates reversibly, operate
s irreversibly, or is impossible
a)QH = 600 kJ, Wcycl= 30
5.1.3 and , trace , determinant .
. The vector is in the nullspace so .
5.1.9 Transpose :
5.1.12 The eigenvalues of are .
5.1.17 and and all have the same eigenvectors. The eigenvalues are
and for , 1 and for , 1 and 0 for . Therefore is h
4.2.2 and and and .
4.2.5 (singular); ; ; ; (2
4.2.14 Adding every column of to the first column makes it a zero column, so
. If every row of adds to , then every row of adds to and
. But need not be :
has , but
4.2.15 (a) Rule 3 (facto
3.1.3 All multiples of ; , ,
3.1.8 (a) If and are are lines in , and are intersecting planes. (b)
3.1.9 is orthogonal to and . Split
3.1.17 ; is spanned by , , ; .
3.1.27 The nullspace of is spanned by , the row space is spanned by
. The nullspace
2.1.2 (a), (d), (e) are subspaces.
2.1.4 (b), (d), (e) are subspaces. Cant multiply by -1 in (a) and (c). Cant add in (f).
2.1.8 The solutions form a line, subspace, nullspace of
20 . Rule 8 is broken: If
is different from