A machine with a mass of M= 600 kg with a rectangular section (depth =0.1 m, width =1.2 m), L=2 m longitudinal and E= 2.06 x 1011N/ m2 It is mounted on a beam with a simple headstock with a Young module. To limit the vertical displacement of the beam aspring with a K coefficient is connected to the beam from its midpoint, as shown in the figure.(a) the K value required to reduce the static collapse (sehimi) of the beam to 15% of its original value (without adding the spring)find it.(b) when the machine with mass imbalance is started, f(t) = 12000 sin(300 t)in the direction perpendicular to the beam from the midpoint of thebeam [N] affects the force. According to the damping ratio of the system is 0.1, the vibration of the midpoint of the beam when the machineis started the values of the amplitude of X (maximum cheayan) of the movement before and after the addition of the spring with K coefficientsfind it,48ELNote: Krish spring coefficient in simple headstock beams =L-1.2 m0.1 m2 mPlease select one:O A.(k=7,004 E+08 N / m; X1=1.72 E-04m; X2=1.56 E-05m)B.(k=3,708 E+08 N / m; X1=2.30 E-04m; X2=3.63 E-05m)C.(k=1,236 E+08 N / m; X1=3.74 E-04m; X2=1.34 E-04m)D.(k=1,011 E+08 N / m; X1=4.02 E-04m; X2=1.64 E-04m)E.(k=2,295 E+08 N / m; X1=2.87 E-04m; X2=6.69 E-05m)F.(k=1,511 E+08 N / m; X1=3.45 E-04m; X2=1.09 E-04m)

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A machine with a mass of M= 600 kg with a rectangular section (depth =0.1 m, width =1.2 m), L=2 m longitudinal and E= 2.06 x 1011 N/ m2 It is mounted on a beam with a simple headstock with a Young module. To limit the vertical displacement of the beam a spring with a K coefficient is connected to the beam from its midpoint, as shown in the figure. (a) the K value required to reduce the static collapse (sehimi) of the beam to 15% of its original value (without adding the spring)

A machine with a mass of M= 600 kg with a rectangular section (depth =0.1 m, width =1.2 m), L=2 m longitudinal and E= 2.06 x 1011 N/ m2 It is mounted on a beam with a simple headstock with a Young module. To limit the vertical displacement of the beam a spring with a K coefficient is connected to the beam from its midpoint, as shown in the figure. (a) the K value required to reduce the static collapse (sehimi) of the beam to 15% of its original value (without adding the spring)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

A machine with a mass of M= 600 kg with a rectangular section (depth =0.1 m, width =1.2 m), L=2 m longitudinal and E= 2.06 x 1011
N/ m2 It is mounted on a beam with a simple headstock with a Young module. To limit the vertical displacement of the beam a
spring with a K coefficient is connected to the beam from its midpoint, as shown in the figure.
(a) the K value required to reduce the static collapse (sehimi) of the beam to 15% of its original value (without adding the spring)
find it.
(b) when the machine with mass imbalance is started, f(t) = 12000 sin(300 t)in the direction perpendicular to the beam from the midpoint of the
beam [N] affects the force. According to the damping ratio of the system is 0.1, the vibration of the midpoint of the beam when the machine
is started the values of the amplitude of X (maximum cheayan) of the movement before and after the addition of the spring with K coefficients
find it,
48EL
Note: Krish spring coefficient in simple headstock beams =
L-
1.2 m
0.1 m
2 m
Please select one:
O A.(k=7,004 E+08 N / m; X1=1.72 E-04m; X2=1.56 E-05m)
B.(k=3,708 E+08 N / m; X1=2.30 E-04m; X2=3.63 E-05m)
C.(k=1,236 E+08 N / m; X1=3.74 E-04m; X2=1.34 E-04m)
D.(k=1,011 E+08 N / m; X1=4.02 E-04m; X2=1.64 E-04m)
E.(k=2,295 E+08 N / m; X1=2.87 E-04m; X2=6.69 E-05m)
F.(k=1,511 E+08 N / m; X1=3.45 E-04m; X2=1.09 E-04m)

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