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

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.3.18P: A stepped shaft ABC consisting of two solid, circular segments is subjected to uniformly distributed...

See similar textbooks

Similar questions

Consider an electrical motor with mass M= 29 kg located at the tip of a rigid beam pivoted at point A, with the other end supported by a spring and damper with stiffness, k = 6 MN/m and damper c= 12 kNs/m, as shown in the figure below. Assume that the rigid beam is massless, the length is L= 1.3 m (horizontal distance between point O and pivot point A), and zero initial conditions. If there is an unbalanced mass of m0=2 kg in the rotating part of the motor, eccentricity is e =382 mm, and the rotor is rotating with a speed of w (omega) = 203 rad/s, determine the maximum amplitude response of point O at steady state condition in millimetre. Assume the line of actions of forces created by spring and damper act through point O, the centre of electric motor. Treat the electric motor mass as a point mass for calculating its moment of inertia about point A.
Six masses m1, m2, m3, m4, mM and mL, shown in figure below are to be completely balanced. The masses are : m1= 20.11 kg, m2 = 2 kg, m3 = 3 kg, m4= 6.3 kg, mM = 10.23 kg. The radii are : r1 = 0.1m, r2 = 0.12 m, r3 = 0.14 m, r4 = 0.12 m, rM = 0.1 m, rL = 0.5 m. The angles shown in the figure are: θ1 = 12º, θ2 = 103º, θ3 = 135º, Φ = 32º. The distances between different planes , shown in the figure are as follow: l1 =0.8 m, l2 = 0.7 m, l3 = 2.44 m. we need to find lm, l4 , mL and the angle α
a. The smooth uniform rod AB is supported by a ball-socket joint at A (Figure 6), the wall at B, and cable BC. Determine the resultant reaction at A in N, RA, if the rod has a mass in kg= 100kg (Units: N) b. The smooth uniform rod AB is supported by a ball-socket joint at A (Figure 6), the wall at B, and cable BC. Determine the the tension in the cable in N, TBC, if the rod has a mass in kg= 100kg (Units: N)
The equivalent spring stiffness of an inclined spring whose k = 5 N/m and angle of inclination θ = 35° 3.355 N/m 4.095 N/m 5.867 N/m 4.511 N/m
7. A spring is attached to the floor. When a 125 g mass is placed on top of the spring it compresses by 0.26 m. What is the spring constant of this spring?
What is the conditions that transforms mechanical energy equation into the Bernoulli equation? State the energy balance equation as the Bernoulli equation?
The spring constant of a helical compression spring depends on which property?
A platform supported by 4 parallel springs: 2 long and 2 short springs, have a spring constant of 7.30 kN/m and 10.95 kN/m. A 55 kg box is dropped onto it from a height of 1.5m. Find the compression of each spring if the short springs are 0.1m shorter than the long springs.
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
If a spring with elastic constant k [N/m] is deformed at distance x [m], then its potential energy is:
1- The internal force of the spring is Select one: a. 228.15 b. 386.10 c. 292.50 d. 473.85 e. 93.60 2- Tension in BC is Select one: a. 588.49 b. 177.25 c. 411.23 d. 216.25 e. 641.66 3- Tension in BD is Select one: a. 484.52 b. 275.68 c. 45.95 d. 547.17 e. 208.84 4- If maximum tension in cables does not exceed 975 N, the corresponding spring constant is (N/m) Select one: a. 1456.00 b. 4550.00 c. 3549.00 d. 6006.00 e. 7371.00
How far will 20 N of force stretch a spring with a spring constant of 140 N/m?