As shown in the figure, a homogeneous rod with a length L = 1 (m) and mass m = 0.2 (kg) is fixed so that it can rotate in the middle. Two springs with constant k = 30 (N/m) are connected at both ends of the rod. The other ends of the springs are fixed and the springs are unstretched. The rod is rotated as 0 « from its equilibrium position and released. What is the angular frequency of the rod in (rad/s)? g = 10 (m/s²) k m, L 000 k A) 10 В) 12 С) 15 D) 30 E) 60 to

As shown in the figure, a homogeneous rod with a length L = 1 (m) and mass m = 0.2 (kg) is fixed so that it can rotate in the middle. Two springs with constant k = 30 (N/m) are connected at both ends of the rod. The other ends of the springs are fixed and the springs are unstretched. The rod is rotated as 0 « from its equilibrium position and released. What is the angular frequency of the rod in (rad/s)? g = 10 (m/s²) k m, L 000 k A) 10 В) 12 С) 15 D) 30 E) 60 to

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

PROBLEM1: Determine the equation of motion of the following systems: 1080 al*k www 0.51 ghiv Vin & Mass Less, Rigid L J Figure 2-Problem 1-2 a3*m
In the system shown in the figure, the spring stiffness k = 2 × 103 N/m and the total massof the system is m = 20 kg, the eccentric mass m0 = 0.2 kg, the eccentricity e = 0.1 m andthe rotation angular velocity of the unbalanced mass is ω1 = 20 rad/s. The applied force isF(t) = 15 sin ω2t with ω2 = 30 rad/s. Determine:(a) the steady state motion of the system;(b) the force transmitted in the spring and estimate the maximum value of the force
The system shown in the figure consists of two masses attached to a massless road and rotates about the vertical axis at O. The system initially rotating freely at the angular speed of 140 rad/s, when a constant couple moment of CO= 8 Nm is applied on the direction shown.a) Find the time required to stop the assembly.b) Calculate the number of revolutions made until the system stops
The thin rod in the figure has a mass of 15kg and is attached to a spring of constant k = 50 N / m at one end, which has an unstretched length of 1.5 m. If the rod is released from rest in horizontal position (e = 0 °) and only conservative forces act on it, determine: a) What is the moment of inertia of the thin rod around the axis of rotation at A? b) What is the angle at which the rod is momentarily at rest again? c) What is the maximum angular velocity of the path? 2 m 2 m ww. 60
find the equations of motion using the lagrange equations of motion. The main rod has length l and mass m, the left spring has spring constant k and right spring has spring constant 2k
A uniform rigid bar of mass 5 kg is pivoted at point O and connected by springs of stiffiness ki= 1000 Nim and k: - 1500 Nim as shown in Figure 6.1. Considering a small angular displacement of 8 of the rigid bar about the point O, determine the equivalent spring constant associated with the restoring moment. ka mg 400 mm 200 mm ki 100 mm Figure 6.1
find the equations of motion using the lagrange equations of motion. Point A and C are moving vertically, points D and B are moving horizontally. the unloaded spring has length equal to l*sqrt(2). Each rod has mass m amd length l, spring constant is equal to k
Consider the mass-spring system shown in the figure below. Assume the natural frequency of the system is wn = 10 rad/s. The system is subject to a time-dependent force Fo cos (wt) N, where Fo = 0.3m N and w = 2wn rad/s (m: mass in kg). The system is subjected to initial displacement and velocity, i.e. xo = 10 mm and vo = 30 mm/s. The response of the system at t = 24 s is: Displacement x(t) F = F,cos(wt)I m 21.63 mm 5.77 mm 7.21 mm 3,61 mm 43.26 mm ООООО
Q4/ A weight W2 is suspended from a pulley of radius R, as shown in figure permit it to move only in the vertical direction. Find the frequency of the system. k k X=-5++C WIR W2
The homogeneous circular disk shown in Figure A3.4 has mass moment of inertia about its centre of mass of l = 3 kgm². It rotates about a fixed shaft at its centre and is attached to a torsional spring with constant k = 20 Nm/rad. At t = 0, the angle is = 0, the angular velocity is d/dt = 4 rad/s, and the disk is subjected to an oscillatory couple M(t) = 10 sin 2t Nm. Determine as a function of time.. Figure A3.4 M(1)
4а. Show that the torque t = la, where I is the rotational inertia. Consider the pulley system shown in figure 4. Suppose the pulley is made up of a disc with mass Ma and a ring (hoop) with mass M, as shown in Figure 4a. Find the moment of inertia I, of the pulley through the center of mass. 4b. Find the angular acceleration a, of the pulley as a function of Ip, 0, M1, M2, µk. You may assume that there is no slipping between the pulley and the rope and the mass of the rope is negligibly small in comparison with the mass M1, and M2. The coefficient of friction between M2 and the incline is µk with M1> M2. 4c. Mr md MK outer ving (Mr) Central dise (Ma) RI axis at RAzti on X- Sedi on a pullag
PROBLEM1: Determine the equation of motion of the following systems: 1080 al*k www 0.51 ghiv Vin & Masa Less, Rigid L J Figure 2-Problem 1-2 a3*m