A 4 kg mass is statically suspended from a load (force) cell and the load cell deflection caused by the mass is 0.04 mm. Estimate the following: 1. The natural frequency of the load cell is equal to rad/s.
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- A spring with a mass of 10 kg has natural length 1 m. A force of 30 N is required to maintain it stretched to a length of 1.5 m. The spring is stretched to a length of 1.5 m and then released with initial velocity zero. 1. Find the spring constant k. 20 2. Find the natural frequency w of the mass-spring constant. Y2 3. Write the governing ODE for this mass-spring system.- 9. 4. Write the general solution of this ODE. 5. Write two initial conditions from the problem descriptions above for this ODE. 6. Find the two arbitrary constants in the general solutions using above initial conditions.A mass m = 3.3 kg is at the end of a horizontal spring on a frictionless horizontal surface. The mass is oscillating with an amplitude A = 4.5 cm and a frequency f = 1.5 Hz. a. Write an equation for the spring constant k. b. Calculate the spring constant k, in Newtons per meter. c. Write an equation for the total mechanical energy, E, of the motion. Your expression should be in terms of the variables in the original problem statement. d. Calculate the total mechanical energy E, in joules.PLEASE DONT USE CHATGPT A block-spring type harmonic oscillator with k=23 N/m and m=0.47 kg has a mechanical energy of 25 mJ. a) What is the amplitude of the motion? b) What is the maximum speed of the block? c) What is the speed of the block when x=11 mm?
- 1. If a spring has a spring constant of 23.0 N/m² then how much force is required to stretch it 11.0 cm from equilibrium? s Y91909 of a simple harmonic oscillator ever zero? If so, where?3) A small sphere has radius 2cm and mas 60g. It is suspended at equilibrium from a spring with spring 14 w/m! Find how much the sphore shetches the stored in the spring. Constand and Spring the energy ^ i's pulled down an b From equilibrium, the sphere addinord Bem and released so it oscillates. up and down harmonically. Alse conservation of energy to calculate the kinetic energy to the equilibrium height. the sphere when it returns 18No handwritten... asap.. q.no 1
- B: Answer one of the two: 0-8(0-3-0.65) i) Find the P, Q, E and d of the given system when delivers 80". of its rated load, The excitation is increased by 20% for the sume , Find the new values of 1, 0, and ô. i) Find the P, Q, E und d of the given system when delivers 10% less than ifs rated load. The speed is increased by 20% for the same E, Find the new values of 1, Q, and 5. 10 0.7055 G 1.B.B -6.34c Sis Xs=jI p.u Cos5- V=I p.u,pf-0.8 lagg- لفسوحة ضوئياFILTRAGARS 2 A wire of length (L), density (p) and Young's modulus (Y) produces an elongation 1 in wire by applying a load, then frequency of wire is YL (a) DV (b) $2L pl A Ey (c) 12 AN 한 YL pl RAGood
- GggStiffenss multiply by the X * Vibration is a study of Oscillation Damping ratio Natural ferquency of the system Temperture Fluid flow :Measurement of the Vibration using the following Acceleronmeters O 00The maximum velocity and maximum acceleration body moving in simple harmonic ascillator are 2mts 44m/s². The ongulae velocity is? of a