A spring-mass (k - m) system has a natural frequency of 10 rad/s. When 5 kg mass is attached with m, the natural frequency of the system is lowered by 25%. Determine the mass (m) and stiffness (k) of the system.

Consider the two-degrees-of-freedom mass-spring system below. Assume m₁ = 50 kg. m₂ = 55 kg. If the second natural frequency of the system is 100 rad/s, the value of stiffness kis k₁=k T x₂ (t) Ţ *₂(1) 107.38 kN/m 39.24 kN/m 73.62 kN/m 140.93 kN/m 174.41 kN/m 1₁ My kg = k

An object attached to the end of a vertical helical spring bounces with a frequency of 2.1 Hz. If the spring constant is 5.9 N/m, what is the mass of the object?

A compact object with a mass of 8.80 kg oscillates at the end of a vertical spring with a spring constant of 1.60 ✕ 104 N/m. The motion is damped by air resistance, and the damping coefficient is b = 3.00 N · s/m. (a) What is the frequency (in Hz) of the damped oscillation?   Hz (b) By what percentage does the amplitude of the oscillation decrease in each cycle?  % (c) Over what time interval (in s) does the energy of the system drop to 5.00% of its initial value?  s (d) What If? The atmosphere of Venus is 50 times thicker than that on Earth. If the effect of air resistance on Venus is represented by b = 150 N · s/m, recalculate the answers for parts (a) to (c) for this system if it is set in motion in the atmosphere of Venus. What is the frequency (in Hz) of the damped oscillations?  Hz What is the percentage decrease in amplitude in each cycle?  % What is the time interval (in s) for the energy to drop to 5.00% of its initial value?  s

Mechanical Vibrations

A single degree of freedom system with mass of 100 Kg, a damping ratio of 0.707 tf and a natural frequency of 8 HZ. The base of the system is excited with a frequency of 80 rad/s, The natural frequency of the system in rad/s Choose... is The value of the stiffness of the system is (N/m) Choose... The damper of the system (in kg/s) is Choose... The frequency ratio is Choose..

find the mass of the automobile by treating it as an undamped single-degree-of-freedom system?(Need handwritten solution only please otherwise downvote)

As shown in figure a mass of 100 kg is held between two springs. The natural frequency of vibration of the system, in cycle/s, is 20 kN/m eeee 100 kg 20 kN/m elle

A mass of 21.5 kg is vibrating freely at the end of 3 springs connected in parallel. The spring constants are 112.2 N/m, 412.8 N/m and 1051.5 N/m. Determine the frequency in Hz of the vibration. (Express answers to 2dp) Answer:

2- A spring-mass system has a mass (m) 63 Lbs and a stiffness of 150 Lb/in, find: Natural frequency (@) in Rad/s b. The natural frequency (f) in Hz. c. Period (T) in Sec. а.