Question 1: A uniform thin rod shown in Figure 1, nas a mass of 2 kg and carries a concentrated mass of 2.5 kg at B. The rod is hinged at A and is maintained in the horizontal position by a spring of stiffness 2 k N/m at C. Calculate the frequency of oscillation, neglecting the effect of the mass of the spring. 2.5 kg -300 mm 300 mm Figure 1: Uniform thin rod

Question 1: A uniform thin rod shown in Figure 1, nas a mass of 2 kg and carries a concentrated mass of 2.5 kg at B. The rod is hinged at A and is maintained in the horizontal position by a spring of stiffness 2 k N/m at C. Calculate the frequency of oscillation, neglecting the effect of the mass of the spring. 2.5 kg -300 mm 300 mm Figure 1: Uniform thin rod

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

A thin cylindrical rod of uniform mass m and length L is suspended from the ends by two massless springs with constants k1 and k2 (Distance L1 and L2 on either side of the center of mass of the rod). The motion of the center of mass is constrained to move up and down parallel to the vertical y-axis. It also experiences rotational oscillations around an axis perpendicular to the rod and passing through the center of mass (I is the moment of inertia with respect to said axis). be y1 and y2 the displacements of the two ends from their equilibrium positions, as shown in Fig. a) Find the motion's equation (consider k1=k2=k)
The 13-Mg truck hauls the 27-Mg trailer. If the unit starts from rest on a level road with a tractive force of 25 kN between the driving wheels of the truck and the road, compute the tension Tin the horizontal drawbar and the acceleration a of the rig. 27 Mg 13 Answers: T = i kN %3D = m/s2
QI Calculate the frequency of damped oscillation of the system shown in Figure () for the value m = 1.75 kg,c 350 N. s /m, k =7 x 107 N Am, a = 1.25 m and b = 2.5 m. If the mass pulled down 10' find the response of the system after cycle. I, mb² rigid link
For the system shown below, the disc of mass M rolls without slip. Assume that the mass M = 11 kg, the damping constant C - 209 Ns/kg and the stiffnesses K, = 9,036 N/m, K2 = 4,855 N/m, the radius of the disc R = 0.4 m and the moment of inertia of the disc about its centre I = MR² What is the damping ratio of the free vibration of this system? www K2 K1 M *No Slip
Consider the double mass/double spring system shown below. - click to expand. Both springs have spring constants k, and both masses have mass m; each spring is subject to a damping force of Ffriction -cz' (friction proportional to velocity). We can write the resulting system of second-order DEs as a first-order system, t' (t) = Au(t), with = (₁, 21, 22, 2₂) I For values of k = 4, m = 1 and c = 1, the resulting eigenvalues and eigenvectors of A are -0.039-0.248i 0.813 A₁2=-0.5±3.2i, v₁ = 0.024 +0.153i -0.502 -0.134-0.302i 0.409 -0.2160.489 0.661 (a) Find a set of initial displacements (0), 2(0) that will lead to the fast mode of oscillation for this sytem. Assume that the initial velocities wil be zero. A3,4 -0.5± 1.13i, z = and (2₁ (0), ₂(0)) = Enter your answer using angle braces, (and). (b) At what frequency will the masses be oscillating in this mode? Frequency rad/s
i need the answer quickly
Do with in minutes
Q3/ For the system shown in figure if the damping ratio is 0.3 derive the equation of motion using Newton's second law and find: a- The natural frequency. b- The damping constant. c- The ratio of any consecutive cycles. k=2 x 10 N/m m = 4.2 kg 10 cm 40 cm 60 cm ITTTI
#4 vibrations, will upvote anyone who will answer. Thanks
2. Consider the following compound pendulum, which consists of a thin rod attached to a pivot point 1/3 down its length, and has a thin disk of radius R attached to the end. Mass of the rod is m, and mass of the disk is me. Tasks: a. Find an Equation of Motion for rotational motion of the pendulum. Assume 0 <15° and apply the small angle approximation. b. Find the natural frequency w of this system. Report in terms of mr, ma, I, R, and g.
Refer to Figure Q2. A tray of mass mı is supported by 3 springs as shown in Figure 3(a). The natural frequency fa is 5.0Hz. An additional mass motor of m2 = 3.0kg (in OFF condition) is placed at the center on top of the mass, the natural frequency is observed to be 2.5Hz. a) Calculate the mass mı. The motor m2 is ON and it rotates at the speed of 600 rpm. Calculate: a) The transmissibility b) Attenuation c) Explain what will happen if the system run at Resonant Frequency m2 m1 Figure 2(a): Original system Figure 2(b): system with m2 added
An object of mass 2 kg is attached to a spring of stiffness 200 N / m on a horizontal frictionless surface . Then it is extend by 10 cm and then let free to oscillate . 1- How long will it take to make one complete oscillation ? 2- Determine the amplitude and give an expression for the displacement as a function of time . 3- Calculate its displacement , velocity , acceleration and force acting on it after sec . 4- Calculate its velocity by the time it is extended by 0.5 cm