A cantilever beam of length 700 mm, width 55 mm and thíckness 15 mm is made of steel with Young's modulus 200 GPa and mass density 7800 kg/m. The displacement model is assumed to be w(z,t) (t) where Lis the beam length. The damping in the beam is negligible. The beam is excited at location 600 mm from the clamped end with a translational force (in the more flexible direction) of magnitude 10 Nat a frequency of 21 Hz (the end of the lecture on adding discrete elements to beam problems gives more detail about including external forces. The maximum steady state response of the end of the beam (in mm) is O DAP0 O 02059 O 02800

A cantilever beam of length 700 mm, width 55 mm and thíckness 15 mm is made of steel with Young's modulus 200 GPa and mass density 7800 kg/m. The displacement model is assumed to be w(z,t) (t) where Lis the beam length. The damping in the beam is negligible. The beam is excited at location 600 mm from the clamped end with a translational force (in the more flexible direction) of magnitude 10 Nat a frequency of 21 Hz (the end of the lecture on adding discrete elements to beam problems gives more detail about including external forces. The maximum steady state response of the end of the beam (in mm) is O DAP0 O 02059 O 02800

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

See similar textbooks

Similar questions

Figure 2 shows an electrical motor with mass M=13 kg located at the middle of pinned-pinned beam. A damper with damping coefficient of c=59 N.s/m is also attached to the beam at point A . Considering Young’s modulus of the beam E=98 GPa, moment of inertia of the beam I=18 mm4, length of the beam L=1 m, unbalance mass of m0 =1.9 kg, eccentricity e=2.8 mm, and zero initial conditions, find the steady state amplitude of point A at resonance in millimetre (mm).
A four-cylinder automobile engine must be supported on three shock mounts,as shown in the picture. The engine block assembly weighs500 lbs. If the unbalanced force produced by the engine is given by200 sin 100 t lb, design three shock mounts (each stiffness k andviscous damping constant c) such that the vibration amplitudemaximum 0.1 in
A cantilever beam of length 700 mm, width 55 mm and thickness 15 mm is made of steel with Young’s modulus 200 GPa and mass density 7800 kg/m3. The displacement model is assumed to be w(x,t)=q1(t)x2L2w ( x , t ) = q 1 x 2 L 2 where L is the beam length. The damping in the beam is negligible. The beam is excited at location 300 mm from the clamped end with a translational force (in the more flexible direction) of magnitude 10 N at a frequency of 21 Hz (the end of the lecture on adding discrete elements to beam problems gives more detail about including external forces). The maximum steady state response of the end of the beam (in mm)
Equivalent stiffness of a beam system is 105 N/m and mass of the object resting on the beam system is 1000 kg. The natural frequency is
A spring-mass-damper system has mass of 80 kg, stiffness of 2500 N/m, and damping coefficient of 250 kg/s Calculate the undamped natural frequency, the damping ratio, and the damped natural frequency Does the solution osciliate?
A machine with a total mass of 2000 kg has a rotor with an out of balance force equivalent to 0.2 kg at 0.5 m radius rotating at 3000 rev/min. Calculate the stiffness and mass of an undamped vibration absorber which could be connected to the machine to eliminate transmission of force to the foundation at the operating speed, if the maximum deflection of the absorber spring is to be limited to 8 mm. [Ans 1234 kN/m, 12.5kg]
Plz give right answer. Calculate critical frequency of a helical spring of wire diameter 10 mm, mean coil diameter 50 mm and number of active coils 12. Take tau = 550MPa , G = 80kN / m * m ^ 2
Write and compare the equation of mechanical and electrical SHO? And a mass stand in floor which execute SHM vertically at 5hz frequency .show that mass losses contact with floor if displacement exceed 1 cm.?
A 65 kg painted sewing machine has an imbalance value of 0.15 kgm in rotation. The machine operates at 125 Hz and is located on the ground with a spring coefficient of 2 x 106 N / m and a dimensionless attenuation coefficient of 0.12. Find the uniform regime amplitude of the machine.
A 0.20 m long shaf with negligible inertia has a flywheel suspended from the end and a damper to damp the vibrations. The shaft has a torsional stiffness of 5,000 N-m/rad and a modulus of rigidity of 152 Mpa. The flywheel has a moment of inertia of 30 kg-m2 and the damping ratio is 0.4. Calculate the following: a) The damped frequency (in Hz) b) The damping coefficient (in N-m-s) c) The actual angular frequency (in Hz) d) The amplitude reduction factor e) The diameter of the shaft (in mm)
Figure 1 shows a system comprising a bar with mass m-12 kg and the length of the bar L=2 m, two springs with stiffness kt=1000 N-m/rad and k = 2000 N/m, one damper with damping coefficient c=50 N-s/m and two additive masses at the end of the bar, where each mass (M) is equal to 50 kg. The rotation about the hinge A, measured with respect to the static equilibrium position of the system is 0 (t). The system is excited by force (F) so find the state space representation of the system if the output y=ġ(t).
A cart with a mass of 6kg is inside a container. The cart is connected to the containervia dampers and springs seen in the figure with coefficients k1 = 500N/m, k2 = 800N/m, c1 =50N.s/m and c2 = 75N.s/m. There is no friction betweenthe cart and the container between the wheels. The motion of the container is given by xb = 10 sin(ωt). Find the equation of motion for the system? Calculate the undamped natural frequency of the system in Hz? Calculate the damping ratio of the system?