2.Q4(15 Marks): The motor-pump system shown in Fig. 4. is modeled as a rigid bar of massm=50 kg and mass moment of inertia Jo=100 kg-m. The foundation of the system can bereplaced by two springs of stiffness k=500 N/m and k₂-200 N/m and L=1 m. Determinethe natural frequencies of the system.Motor,Fig. (4)16(1)PumpC.G.x(1)x₁(1)Base(a)Foundation(b)C.G. m, Jox2(1)

The problem is asking us to find the natural frequencies of a motor-pump system. The system is…

Answered: 2. Q4(15 Marks): The motor-pump system…

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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The motion of a spring-mass-damper system satisfies the initial value problem: d²x m- +bd + kx = F, x(0) = 0; *(0) =1 di? dt Given m = 1 kg, b= 5 Ns/m, k = 4 N/m, and F = 5 N. (a). What is the natural frequency of the system? (b). Is this system under damping or critical damping or over damping? Explain it. (c). Solve the given initial value problem. (d). The location of poles of X(s) affects the behavior of the system. How to choose parameters b/m and k/m so that the poles are placed at - 4+4j?
a=4.9 b=3.92 kt=94
For the mechanical system shown determine
Q.5 A 6-kg uniform cylinder of radius 50 cm can roll without sliding on a horizontal surface and is attached by a pin at point C to the 4-kg horizontal bar AB. The bar is always horizontal and attached to two springs, each of constants k= 5 kN/m as shown. If the bar is moved 2 cm to the left side and released: a) Find the resulting period of oscillation, b) Find the maximum velocity and maximum acceleration of point C, and c) Find the maximum angular velocity and maximum angular acceleration of the cylinder.
3.64 One of the tail rotor blades of a helicopter has an unbalanced mass of m = tance of e = 0.15 m from the axis of rotation, as shown in Fig. 3.62. The tail section has a length of 4 m, a mass of 240 kg, a flexural stiffness (El) of 2.5 MN-m2, and a damping ratio of 0.15. The mass of the tail rotor blades, including their drive system, is 20 kg. Determine the forced response of the tail section when the blades rotate at 1500 rpm. 0.5 kg at a dis. Tail rotor blades Tail section, EI
Mechanical Vibration Problem
[2] Find the equivalent spring stiffness for the vibrating system shown in Fig.2. If kl - k3 - k5 - 2k and k2 - k4 - k6 -k, determine the system natural frequency in Hz k1 k3 k2 ks k4 k6 fig. 2 y
part b only please
Vibration
1. An undamped spring-mass system is shown below. (a) Starting from the equations of motion, find the natural frequencies of the system. if m₁ = m, m₂ = 2m, k₁=k, and k₂ = 2k. (b) Find the natural frequencies and mode shapes (i.e. modal vectors) of the system if m₁ = m₂ = 1 kg, k₁ = 2000 N/m, and k₂ = 6000 N/m. (c) Given the properties in (b), determine the response of the system x₁(t) and x₂(t) if the initial conditions are x₁(0) = 0.2 m, ₁ (0) = x₂(0) = 0, and ₂(0) = 5 m/s. Base k₁ k₂ reelle m₁ m₂ x₁ (t) x₂ (1) Undamped 2 DOF spring-mass system.
1. A machine component of mass 0.77 kg moves with SHM in a straight line and completes 175 oscillations per minute. Find the accelerating force when the component is 50 mm from mid-travel.
A three-blade wind turbine used for research is supported on a shaft so that it is free to rotate about O. One technique to determine the centroidal mass moment of inertia of an object is to place a known weight at a known distance from the axis of rotation and to measure the frequency of oscillations after releasing it from rest with a small initial angle. In this case, a weight of Wadd = 50 lb is attached to one of the blades at a distance R = 20 ft from the axis of rotation. Knowing that when the blade with the added weight is displaced slightly from the vertical axis, and the system is found to have a period of 7.6 s, determine the centroidal mass moment of inertia of the three-blade rotor.

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