2. An undamped mass on a spring has a natural frequency of 10Hz. The system consists...
2. An undamped spring-mass system with a mass of 1.3kg is observed to have a natural frequency of 90 cycles per second. What is the spring constant?
EXam 2 Name: 1. A n undamped vertical system consists of a mass weighing 100 N and a spring of stiffness 5000 N/m. It is acted on by a harmonic force of amplitude 80 N and frequency 5 Hz. Find i) The displacement of the spring due to the weight of the mass, The static displacement of the spring due to the maximum applied force, and The amplitude of forced motion of the mass for zero initial conditions iii)
A damped system consists of a mass (m = 30kg) supported on a spring and a damper in parallel. In an experiment, the period of vibration of this system was measured to be 0.5 seconds, and the ratio of maximum displacement between two successive cycles was determined from the experimental data to be 20. Determine: a. The logarithmic decrement. [2] Q4a. Answer: b. The damping ratio, commenting if this is over-damped, critically damped, or under-damped. [4] Q4b. Answer: c. The...
3. A compressor of mass 700 kg has undamped spring mountings which deflect by 0.5 mm under its weight. This compressor, on its mountings, is installed on a flexible floor whose mass of 1400 kg may be considered as concentrated below the compressor. The floor has negligible damping. The highest natural frequency of vertical vibration of this combined system must not exceed 1.5 times that of the compressor with its spring mountings on a rigid foundation. Find a suitable value...
(Undamped system) An iron ball of mass 10kg is attached to a spring having a spring constant of 3.6N/m. The ball is started in motion from rest (i.e., initial velocity is zero) by stretching the spring 0.7m from the equilibrium position with an exerted force f(t)=6.8e-t Assume there is no air resistance. a) Find the position of the ball as a function of time. b) Determine how far from the equilibrium position the ball will be after 15 seconds.
Consider the mass 1/2 on 1/2 spring system in Figure P11.20. Three identical springs, with the same spring constant k = 78 N/m, are used to connect the mass (m = 15 kg) to the ceiling. What is the frequency of this simple harmonic oscillator?
Find the natural frequency of the system. Please show the steps. Ans: 7.3127 Hz Checkpoint: lo-0.8567 kg-mA2 Find the natural frequency (in Hz) of the mechanical system. The mass per unit length is 10 kg/m. The springs are unstretched when AC is horizontal. o.Im 0.4m o.2m 4000 Ti7T o,3m 12
3. A spring-mass system has mass m, spring constant k, and hence natural frequency ω0 = (k/m)^1/2 . The damping constant can take any value. Show that the smallest half-life you can get without the spring becoming overdamped is (ln2 / ω0) .
2. Calculate the EOM (using Newtons 2nd law) and the natural frequency of the spring-mass system shown below. Each mass is m-5 kg and the linear elastic spring has a constant k 325 N/m. 2. Calculate the EOM (using Newtons 2nd law) and the natural frequency of the spring-mass system shown below. Each mass is m-5 kg and the linear elastic spring has a constant k 325 N/m.
1. DETAILS ZILLDIFFEQMODAP11 5.R.011. MY NOTES ASK YOUR TEACHER A free undamped spring/mass system oscillates with a period of 3 seconds. When 12 pounds are removed from the spring, the system then has a period of 2 seconds. What was the weight of the original mass on the spring? (Round your answer to one decimal place.) Ib