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ME 370, Fall 2015
Name(s)
Homework 11
Due: In class, Monday Nov. 30
1.
(45 pts) For the geometric model shown in Fig. P4.3 textbook, let the DOF variables be and
x , where is the rotation of the bar (CW positive) and x is the downward motion of the point
ME 370.1 Fall 2015
Name(s)
Homework 4
Due: In class, Wednesday, September 30
1. (10 pts) A 2DOF geometric model of a mechanical system is shown below. The system is driven by
two inputs: the force Fi on mass m s and the velocity x i on the right part of d
ME 370.1, Spring 2015
Name(s)
Homework 7
Due: In class, Monday, October 19
1. (10 pts) The system below is used in hw6:
The governing equation is
(m +
Jo
x
) +
2
r2
r12
cx + kx = 0
r22
Let m = 10 kg, J o = 5 kg-m2, r1 = 0.1 m and r2 = 0.25 m. The system i
ME 370.1, Fall 2015
Name(s)
Homework 3
Due: In class, Wednesday, September 23
1. (10 pts) A rigid and uniform bar of mass m and length L is hinged at one end and connected to a
spring at the other as shown. It may be made equivalent to a mass-spring model
ME 370.1, Fall 2015
Name(s)
Homework 6
Due: In class, Monday, Oct. 12
1. (10 pts) For the geometric model given below, K t and C t are torsional spring and torsional damper
connected to the center of the disk and k1 is a translation spring connected to th
ME 370.1 Fall 2015
Name(s)
Homework 5
Due: In class, Wednesday Oct. 7
1. (10 pts) For the system used in hw4,
A correct set of FBDs is given below:
Write a complete set of elemental equations, which may be assembled into the governing eqiation of
the syst
ME 370.1, Fall 2015
Name(s)
Homework 1
Due: In class, Friday September 11
1. (8 pts) Determine the degrees of freedom of the following geometric models. Write your answer
next to each of the models.
(1)
Wheels roll without slip
A swinging bar
(2)
(3)
Cyli
%Programming in MATLAB to
olve for a 2-DOF Harmonically-excited vibration
%Define [M], [C], [K] and right-hand side of G. Eq.
M=[11 0; 0 22]
C=[91 -10; -10 50]
K=[1000 -500; -500 2000]
F=[1;0]
%Define frequency of excitation
w=50;
%Form the impedance matr
ME 370.1 Fall 2015
Name(s)
Homework 10
Due: In class, Monday, Nov. 16
1. (16 pts) A wheel of mass m and c.g.-moment of inertia Jo makes a contact with the ground and is
also connected to a spring and a damper as shown in the figure. The wheel is driven by
ME 370, Fall 2015
Name(s)
Homework 12
Due: In class, Monday Dec. 7
1.
[10 pts] Consider the function given below (where s = i ):
T ( s) =
s+5
10 s + 10 s + 20 s 2 + s + 1
4
3
(1) The amplitude and phase angle (in rad) of T (i 0.7) are
a) T = 0.726, = 2.88
ME 370.1 Fall 2015
Name(s)
Homework 8
Due: In class, Monday, October 26
1. (10 pts) A geometric model of a mechanical system is shown below, where y(t) is a motion input at
point Q.
The governing equation of the system is
a) m + c 2 x + kx = c1Y sin t
x
b
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ME 370.1 Name:
Fall 2013
Midterm
1. [25 pts] The mass of a complex-shaped object shown in the ﬁgure is m = 10 kg. When it is suspended
like a pendulum for small-angle swing, the period of swing is T = 2.0 sec. The distance from the pivot
to the center of
Solution worked out by a former student
So, k=35633.4 N/m and st 2.385 mm will satisfy the design requirement.
The above results are obtained with = 0 . The same calculation procedures may be followed for
0 . Some damping is always needed such as = 0.1 ~
ME 370.1 Fall 2015 Name:
Midterm
l. [25 pts] Examine the system shown below (left ﬁgure). The bars of lengths a, b and c are rigid and
massless and are weld together to rotate about pivot 0. Each of the bars carries a point mass (m 1, mg or
m 3) at its fr
Basic MATLAB guide
1. Access a pc system with matlab.
2. Launch it and change working directory.
3. To create a new Matlab program, click the File menu and choose New and M-file.
4. To open an existing program, select open in the File menu.
5. Save your M
Additional problems to look over (see steps of solution through)
2.
[20pts] A geometric model of a mechanical system is shown below. The bar of uniform cross
section is rigid with mass mb. Consider small motion with gravity.
(1) Draw free-body-diagrams fo
4m
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Spring 1994 Name
Final Exam
1. Equations of morion (25 points)
A mechanical system is sketched below. A torsional spring K and a torsional damper C are
attached to the bar at the pivot. The inertia effect of the bar is mo
ME 370.1 Fall 2015
Name(s)
Homework 9
Due: In class, Monday, Nov. 2
1. (15 pts) The math model is m + (c1 + c2 ) x + kx = c1Y sin(t + ) for Prob. 1 of hw8
x
(1) The magnitude of the follow-up vibration x p (t ) = X sin( wt + + ) is
a) X =
c1 rY
1
2 2
m n
ME 370.1 Fall 2016
Name(s)
Homework 8
Due: In class, Friday, Oct. 21
1. (10 pts) A geometric model of a mechanical system is shown below, where y(t) is a motion input at
point Q.
The governing equation of the system is
a) mx + c 2 x + kx = c1Y sin t
b) mx