[6] An instrument panel weighing 30 lb is installed in a vehicle on a flexible mountthat has an equivalent stiffness k = 400 lb/in and negligible damping. As a result ofengine vibration, the vehicle vibrates with a steady-state amplitude of o.25 in at afrequency of 40 Hz. Determine the steady-state amplitude of vibration of theinstrument panel.

Answered: Image /qna-images/answer/e079173f-8577-4f66-aaf4-072f8eb0b2ec.jpg

Answered: [6] An instrument panel weighing 30 lb…

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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A weight of 15N is vertical suspended by a spring of stiffness k=2N/mm determine natural frequency of free vibration of the weight
A damped single-degree-of-freedom system has m = 5 kg, c = 500 N-s/m, and k = 5000 N/m. Determine the undamped and damped natural frequencies of vibration and the damping ratio of the system.
In a single degree of damped vibration system a suspended mass of 8kg makes 30 oscillations in 18 seconds. The amplitude decreases in 18 seconds. The amplitude decreases to 0.25 of the initial value after 5 oscillations. Determine (i) the spring stiffness (ii) logarithmic decrement (iii) damping factor (iv) Damping coefficient
A block of mass m hangs from a spring with a spring constant k. The block is initially held so that the spring is unstretched. If the natural circular frequency of the system is 10 radians/sec, how many cycles of vibration will the block experience in five seconds after it is released?
A single degree of freedom system consists of a mass of 20 kg and a spring of stiffness 4000 N/m. The amplitudes of successive cycles are found to be 50, 45, 40, 35, ...mm. Determine the nature and magnitude of the damping force and the frequency of the damped vibration.
A reciprocating compressor of mass 20 Kg runs at a constant speed of 3000 rpm. After installation the forcing frequency is found to be too closer to the natural frequency of the system. Design a dynamic vibration absorber such that (a) the natural frequency of the main system is equal to that of the absorber and (b) the ratio of the operating frequency to the natural frequency is 0.75.
A system of beams supports a motor of mass 1200 kg. The motor has an unbalanced mass of 1 kg located at 6 cm radius. It is known that the resonance occurs at 2210 rpm. What amplitude of vibration can be expected at the motor’s operating speed of 1440 rpm, if the damping factor is assumed to be less than 0.1?
A sieving machine weighs 6,500 lb, and when operating at full capacity, it exerts a harmonic force on its supports of 700 lb amplitude at 12 Hz. After mounting the machine on spring-type vibration isolators, it was found that m the harmonic force exerted on the supports had been reduced to a 50 lb amplitude. Determine the spring stiffness k of the isolation system.
A350 N electronic instrument is attached to a ship deck which vibrates at an amplitude of 1.60 mm at 50 Hz. The instrument is to be isolated from the deck with 4 flexible mounts. Determine combined spring constant of mounts such that the amplitude of vibration of the instrument is no more than 0.13 mm. If the springs are equal wirat is spring constant of each mount. What is static diflection of each mount?
The mass of a single degree damped vibrating system is 7.5 kg and makes 24 free oscillations in 14 seconds when disturbed from its equilibrium position. The amplitude of vibration reduces to 0.25 of its initial value after five oscillations. Determine : 1. stiffness of the spring, 2. logarithmic decrement, and 3. damping factor, i.e. the ratio of the system damping to critical damping.
During the design of the spring-support system for the mp=3050 kg weighing platform, it is decided that the frequency of free vertical vibration in the unloaded condition shall not exceed 8.5 cycles per second. a. Determine the maximum acceptable spring constant k for each of the three identical springs. Insert your answer in kN/m correct up to at least a third decimal place. b. For spring constant, what would be the natural frequency fn of vertical vibration of the platform loaded by the mt=60Mg truck? Insert your answer in Hz correct up to at least a third decimal place.
Question 3 A car with a mass of 1000 kg, has 4 suspensions, and has an un-damped natural frequency of vertical vibration of 5 Hz. Calculate: The stiffness of each spring The un-damped natural circular frequency of vertical vibration when the car is carrying five people each with a mass of 95 kg. The un-damped natural frequency of vertical vibration when the car is carrying five people each with a mass of 95 kg.

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