(a) Obtain the equations of motion of the system shown in Figure P4.25. (b) Suppose the inertias are I 1 = I and I 2 = 2 I and the torsional spring constants are k 1 = k 2 = k 3 = k . Obtain the transfer functions Θ 1 s / T 2 s and Θ 2 s / T 2 s in terms of I and k . (c) Suppose that I = 10 and k = 60 . Obtain a plot of the unit-impulse response of θ 1 for zero initial conditions.
(a) Obtain the equations of motion of the system shown in Figure P4.25. (b) Suppose the inertias are I 1 = I and I 2 = 2 I and the torsional spring constants are k 1 = k 2 = k 3 = k . Obtain the transfer functions Θ 1 s / T 2 s and Θ 2 s / T 2 s in terms of I and k . (c) Suppose that I = 10 and k = 60 . Obtain a plot of the unit-impulse response of θ 1 for zero initial conditions.
(a) Obtain the equations of motion of the system shown in Figure P4.25. (b) Suppose the inertias are
I
1
=
I
and
I
2
=
2
I
and the torsional spring constants are
k
1
=
k
2
=
k
3
=
k
. Obtain the transfer functions
Θ
1
s
/
T
2
s
and
Θ
2
s
/
T
2
s
in terms of I and k. (c) Suppose that
I
=
10
and
k
=
60
. Obtain a plot of the unit-impulse response of
θ
1
for zero initial conditions.
500
Q3: The attachment shown in Fig.3 is made of
1040 HR. The static force is 30 kN. Specify the
weldment (give the pattern, electrode
number, type of weld, length of weld, and leg
size).
Fig. 3
All dimension
in mm
30 kN
100
(10 Marks)
(read image) (answer given)
A cylinder and a disk are used as pulleys, as shown in the figure. Using the data
given in the figure, if a body of mass m = 3 kg is released from rest after falling a
height h 1.5 m, find:
a) The velocity of the body.
b) The angular velocity of the disk.
c) The number of revolutions the cylinder has made.
T₁
F
Rd =
0.2 m
md =
2 kg
T
T₂1
Rc = 0.4 m
mc = 5 kg
☐ m = 3 kg
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