*22-24. The 10-kg disk is pin connected at its mass center.Determine the natural period of vibration of the disk if thesprings have sufficient tension in them to prevent the cordfrom slipping on the disk as it oscillates. Hint: Assume thatthe initial stretch in each spring is ôo.k = 80 N/m/150 mmk = 80 N/mwww

Given Mass of the disk = 10 kg Spring constant = 80 N/m Diameter of the disk = 150 mm = 0.15 m To…

Answered: *22-24. The 10-kg disk is pin connected…

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

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The 23-kgkg disk, is pinned at its mass center OO and supports the 5-kgkg block AA. The belt which passes over the disk is not allowed to slip at its contacting surface. Determine the natural period of vibration of the system.
The 23-kg disk, is pinned at its mass center O and supports the 3-kg block A. The belt which passes over the disk is not allowed to slip at its contacting surface. Determine the natural period of vibration of the system.
Determine the natural period of vibration of the pendulum if it is given a small displacement and released. Consider the two rods to be slender, each having a weight of 120 N/m
If k = 23 kip/in and W = 329 kip, determine the period of vibration in seconds.
The engine of the helicopter is delivering 600 hp to the rotorshaft when the blade is rotating at 1200 rpm. Determine to thenearest 1/8 in the diameter of the shaft is the allowable shearstress is 10.5 ksi and the vibration limits the angle of twist ofthe shaft to 0.05 rad. The shaft is 2 ft long and made fromsteel.
When a 2-kg block is suspended from a spring, the spring is stretched a distance of 40 mm. Determine the period of vibration for a O.5-kg block attached to the same spring.
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).
It is desired to adjust the damping of the passenger car's suspension so that the vibration is damped to one tenth of the original during one oscillation. Based on this, determine the relative attenuation constant D (give the answer to two decimal places). The car has a mass of 1500 kg and the body frequency is 1.32 Hz.
The system is in equilibrium in the position. Find the period of vibration for small amplitudes. Neglect the mass of the rod and size of the 1.8 kg. mass. Given Required Solution
A 3 kg mass suspended from a spring having stiffness of k= 200N/m. if the block is pushed 50mm upward from its equilibrium position and then released from rest a) Determine the amplitude and the frequency of the vibration
An 8-kgkg block is suspended from a spring having a stiffness k=80N/mk=80N/m. If the block is given an upward velocity of 0.4 mm // ss when it is 90 mmmm above its equilibrium position, determine the equation which describes the motion of the block measured from the equilibrium position. Assume that positive displacement is measured downward. Determine the maximum upward displacement of the block measured from the equilibrium position. Assume that positive displacement is measured downward.
Assuming that the L-shaped bar has negligible mass and in the equilibrium position shown, determine the natural period of vibration of the system by using A.) Kinematic equations a. I= 0.218 s b. T = 0.374 s c. T = 0.419 s d. T= 0.536 S B.) Energy method a. T = 0.218 s b. T= 0,374 s C. T = 0,419 s d. I= 0.536 S Given data: k = 200 N/m; h= 150 mm; m= 2 kg d= 100 mm

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