spring-mass system with m = 0.01 Mg and k = 5 kN/m is subjected to a harmonic force of amplitude 0.25 kN and frequency ωo. If the maximum amplitude of the forced motion of the mass (particular solution or steady state) is observed to be 100 mm, find the value of ωo

A machine of mass 112.7 kg is mounted on four parallel springs each of stiffness 3.2 x 105 N/m. When the machine operates at 58.0 Hz, the machine's steady state amplitude is measured as 0.5 mm. What is the magnitude of force transmitted to the foundations of the machine at this speed? The damping in the system is negligible. (Express answers to 3sf) Answer: 3.49

A spring-mass system with m = 10 kg and k = 5000 N/m is subjected to a harmonic force of amplitude 250 N and frequency If the maximum amplitude of the mass is observed to be 100 mm, find the value of ?. Answer with interpretation

A body of mass 70 kg is suspended from a spring which deflects 20 mm and is subjected to a damping effect adjusted to a value of 0.23 times that required for critical damping. Find the natural frequency of the undamped and undamped vibrations and the ratio of successive amplitudes for damped vibrations. If the body is subjected to a periodic disturbing force of 700 N and of frequency equal to 0.78 times the natural frequency, find the amplitude of forced vibrations and the phase difference with respect to the disturbing force.

6. A mass m is suspended from a spring of stiffness 4000 N/m and is subjected to a harmonic force having an amplitude of 100 N and a frequency of 5 Hz. The amplitude of the forced motion of the mass is observed to be 20 mm. Find the value of m.

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?

i need the answer quickly

A weight attached to a spring of stiffness 3.0 lb/in has a viscous damping device. When the weight is displaced and released, the period of vibration is found to be 1.80 seconds and the ratio of consecutive amplitudes is 4.2 to 1.0. Determine the amplitude and phase angle when a force F-2cos(3t) acts on the system.

Please help me with this question. This is for review purposes. Thank you!

When an object with a mass of 5 kg is connected to the end of a spring, the spring extends 10 meters and reaches equilibrium. This spring-mass system is placed in an environment with a damping constant of 5 kilograms/second, and the mass is pulled down √ 3 meters from the equilibrium position and released without initial velocity. Find the function that shows the time-dependent change of the position of the given damped spring-mass system. Determine the period and amplitude of the movement. Determine how many seconds it takes for the system to first pass the maximum position (in the positive or negative direction) and the equilibrium position after t = 0. (gravity = 10 meters/second) Then transform the equation of the mass-spring system into a system of equations and draw a sample orbit by creating the vector field of the system and interpret the shape of this orbit.