As shown in the figure, a homogeneous rod with a length L = 1 (m) and mass m=0.1 (kg) is fixed so th: it can rotate in the middle. Two springs with constant k = 60 (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 it: equilibrium position and released. What is the angular frequency of the rod in (rad/s)? g = 10 (m/s²) k m, L

As shown in the figure, a homogeneous rod with a length L = 1 (m) and mass m=0.1 (kg) is fixed so th: it can rotate in the middle. Two springs with constant k = 60 (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 it: equilibrium position and released. What is the angular frequency of the rod in (rad/s)? g = 10 (m/s²) k m, L

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

Answer with neat solution please. Thank you.
How to find the Kinetic energy at position 2 in terms of the angular speed? The equation I know is: KE=mv² +1w². However, other solutions include using the instantaneous center method. 2 1 Why is the mv² term not there anymore when IC method is used? Does this problem both have translation and rotation in the first place? The answer should be 0.1667w² A spring of constant k = 520 N/m is attached to end A of a 4.00-kg rod AB, which is constrained to move along slots cut in a vertical plane as shown. When 0 = 0, rod A is at rest and the spring is undeformed (Position 1). Consider the instant when 0 = 45.0° as Position 2. Hint: I_rod = 1/12 mL^2 A L = 0.500 m 0 B
*** SKETCH ONLY DRAW the kinematic diagram & Free body diagram and label it for this problem
Please answer this with detail so I can understand it correctly
Figure shows a mechanical system. The connecting link has moment of inertia J about its pivot point, and rotation angle is positive clockwise. Position of mass m is positive to the right. Both the angular and translational displacements are measured from the equilibrium position where all springs are undeflected. Derive the mathematical model of this system assuming small rotation angle 8. Link, moment. of inertia J L k₁ www m O k₂ www
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
4
Q2) Consider a mass (m=5 kg) connected to a massless rod of length (L=2 m) to swing about point O, as shown in Figure (2). The mass is also connected to a spring of spring constant (k=10 N/m). The other end of the spring is connected to a pivot. The unstretched length of the spring is 1 m. Find the equation of motion of the L-2 m system. polar coordinates (r-0). m-5 kg 3 m k-10 N/m Figure 2
Do with in minutes
11 A cylinder of mass m and mass moment of inertia J is free to roll without slipping, but is restrained by the spring k, as shown in Fig. P2-11. Determine the natural frequency of oscillation. Use:force balance method m. Jo k
Seen in Figure 1, a rotating mass (with mass moment of inertia Id to a fixed wall (on the far left) by a torsional spring (k 1kg* m² and angular position a) is attached 1Nm/rad) and a torsional damper. Consider the spring and damper as concentric and in parallel. Dampers with damping ratios of c = be considered. Att = 0.1, 0.5, 1.0, and 1.5kg * m²/s will 0, a unit step torque Tin is applied to the rotating mass. A unit step input is a forcing function whose value is 0 from -∞o to some time to and 1 from to to oo. Here, to = 0. Your tasks: k ww + C = la Od A Derive the equation of motion of the rotating mass. Write c as EOM's for the different values of c. Tin 0 Figure 1: Schematic of the mechanical system to model in Problem 1. em, you will solve part B over MA AB Grader Plea LO onment variable. You do not need to write separate ד ו. for
In the suspended system as in the figüre, a) Examine the motion of mass m under the initial conditions of (c. < 2Vkm) and x (0) = 0 v(0) = Vo only in the case of springs and damping box. b) Examine the forced vibration motion that will occur when F (t) = Fo cos pt forcing force is applied in the same system under the same conditions. F() m /3 K/3