Answered: Problem: Simply Supported Steel Beam A… | bartleby

Elements Of Electromagnetics

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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Problem: Simply Supported Steel Beam
A machine of mass m=500 kg is mounted on a simply supported steel beam
of length /=2 m having a rectangular cross section (depth: 0.1 m, width: 1.2 m)
and Young's modules E=2.06x1011 N/m². Find the natural frequency of
transverse vibration.

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(b) A passenger car has a tyre spring rate of 18,900 N/m. The front suspension rate is 1,450 N/m and the rear is 1,050 N/m. Assume the front tyres are loaded to 10,000 N and rear tyres are at 7,900 N. (i) Solve the front suspension ride rate in N/m. (11) Evaluate the natural frequency at front suspension.
Consider an electrical motor with mass M= 29 kg located at the tip of a rigid beam pivoted at point A, with the other end supported by a spring and damper with stiffness, k = 6 MN/m and damper c= 12 kNs/m, as shown in the figure below. Assume that the rigid beam is massless, the length is L= 1.3 m (horizontal distance between point O and pivot point A), and zero initial conditions. If there is an unbalanced mass of m0=2 kg in the rotating part of the motor, eccentricity is e =382 mm, and the rotor is rotating with a speed of w (omega) = 203 rad/s, determine the maximum amplitude response of point O at steady state condition in millimetre. Assume the line of actions of forces created by spring and damper act through point O, the centre of electric motor. Treat the electric motor mass as a point mass for calculating its moment of inertia about point A.
t. Design the following application case m is The mechanical vibration system is shown in Figure (a). When a step input with shown in Figure (b). Evaluate the values of mass m, damping constant c and spring constant k. B (a) yu P=2N X(t)/cm4 0.1095 0.1 0 2 (b) 3 4
Calculate the equivalent spring equation and linear spring. Theory of vibration
PROBLEM3: Find the response of the rigid bar shown in Figure 2 when the end P of the spring PQ is subjected to the displacement, x(t) = xoSin10t. Data: k = 500, 1 = 1 m, m = 10 kg, xo = 1 cm. m Uniform bar, mass m x(t) 1 ki+ Figure 2-Rigid bar undergoing rotational motion
1
answer ASAP would be appreciated
Figure below shows an aircraft fighter. The wing of the aircraft may be modelled as a clamped wing with two lump masses at its centre and tip. The two masses represent the mass of the wing and the missiles. The equivalent model shown in the figure is used to estimate the first two natural frequencies of the wing and therefore the fuselage can be assumed rigid. 24EI If m1 = am, m2 = bm and bending stiffnesses of the beams are k where a = 9.7147 and b = 4.1873 and if w, and wz are the first and second natural frequencies of the system, w2/wz is: x, (t) x2(t) EI т, EI (m2) /2 1/2 3.2719 2.4236 1.3088 1.7692 4.7260

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