A helical spring, when fixed at one end and loaded at the other, requires a force of 100 N to produce an elongation of 10 mm. The ends of the spring are now rigidly fixed, one end vertically above the other, and a mass of 10 kg is attached at the middle point of its length. Determine the time taken to complete one vibration cycle when the mass is set vibrating in the vertical direction. - 2IT

A helical spring, when fixed at one end and loaded at the other, requires a force of 100 N to produce an elongation of 10 mm. The ends of the spring are now rigidly fixed, one end vertically above the other, and a mass of 10 kg is attached at the middle point of its length. Determine the time taken to complete one vibration cycle when the mass is set vibrating in the vertical direction. - 2IT

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

Question 2 A mass of 5 kg is supported on two springs, the stiffness of the springs being 2000 N/m and 4000 N/m respectively. Sketch the arrangement and calculate the natural frequency of vibration when the springs are connected: In series; In parallel.
2. The mass ? = 20 kg is suspended from an ideal spring of stiffness ? = 500 N/m. If the mass is set into motion at ? = 0 with the initial conditions ?0 = 45.5 mm and ?0 = −104 mm/s, calculate (a) the amplitude of the motion; and (b) the time when the mass stops for the first time. Assume that ? is measured from the equilibrium position of the mass.
The assembly shown below with M8x1.25 bolt/nut is subjected to an oscillating force F that changes between 0 and Fmax. Obtain the Fmax (in kN) with a saftey factor of 2, such that the amplitude of the alternating stress on the threaded section of the bolt does not exceed 48 MPa. Assume that the bolt and nut were preloaded sufficiently. The stiffness of the clamped material is evaluated as 1,017 MN/m and the stiffness of the bolt is calculated as 346 MN/m.
Determine a natural frequency of vibration as a function of k₁, k₂. g and W of a spring-mass system placed on a inclined plane as shown in the figure:
A single-cylinder compressor with a mass of 150 kg is mounted on rubber wedges.Compressor rubber wedgesit has been observed that the wedges collapsed by 2mm when placed on it Damped free on wedges without starting the compressorwhen released into vibration, it completed 100 full oscillations in 10 seconds. The stroke of compressor is 100mm a-)Calculate the spring constant (k) of the wedges. b-) Calculate the degree of damping (c) of the wedges. c-)The vibration amplitude of the regular regime was measured as 1mm when the compressor was operated at a speed of 1000rpm In the compressorcalculate the amount of moving masses.
QUESTION 2 The system shown in the figure consists of two bodies and three springs that may be set into free vertical vibration. Determine the natural frequencies of vibration for this system and compare the amplitudes of the movements of mass 1 and mass 2 for each f requency. M1=85kg, M2=150kg, k1= 70 kN/m, k2=55kN/m, k3=40kN/m. NB: Draw a detailed free body diagram for each mass to solve the problem . [27]
A smooth disk with a mass of 3 kg is placed on a cylindrical surface.It can move without slipping. This cylinder has a mass of 2 kgproperly connected to the AB bar at its midpoint. AB bar is also middleIt is connected to a spring with a constant k = 300 N/m. EUrod can move freely around point A. Boccurs when the tip is given a small displacement and released.Calculate the period of the vibration.
A uniform rigid mass of 2 lb is hinged at its centre and laterally supported at one end by a spring of constant k=300 N/m. If the equation obtained for frequency (ωn) in this system is ωn2 =k/m, what is the natural frequency?
An undamped SDOF system with a mass of m= 20 kg and stiffness k=8000 N/m is subjected to an impact load as shown in the figure below. Assuming that the system is initially at rest, determine the displacement at t= 1.0 sec
An electric motor with a mass of 20 kg is placed in the middle of a beam that is jointly connected on both sides. Rotor its unbalance is equivalent to a mass of 0.3 kg at a distance of 0.020 m from the axis of rotation. Due to the electric motor force acting on the beam t Sin F F  0 . The rotor is rotating at an angular speed of  = 40 rad / sec. Engine under the influence of force Find the displacement amplitude at the point where it is located (in the middle). The beam mass will be neglected. The beam has a modulus of elasticity E = 200000000000 N / m2 (200 GPa).
A spring is such that a 2-lb weight stretches it 6 inches. There is a damping force present,with magnitude the same as the magnitude of the velocity. An impressed force (2sin8t) isacting on the spring. If at t = 0, the weight is released from a point of 3 inches below theequilibrium point, find its position for t > 0.
A spring has a spring constant of k=18N/m, hung with a weight of mass m=½ kg. If the load is in an equilibrium position, then it is pulled and released with a speed of 3 m/s, then determine the equation of motion of the object if it does not experience friction or damping.