An accelerometer has a seismic mass of 100 grams and a spring constant of 2x103 N/m...
3. An accelerometer has a seismic mass of 100 grams and a spring constant of 2x10' N/m.. Maximum mass displacement is +0.01 m. Calculate: a) The maximum measurable acceleration in g b) The natural frequency of oscillation
Determine the bandwidth for a seismic instrument employed as an accelerometer having a seismic mass of 0.2 g and a spring constant of 20,000 N/m, with very low damping. Discuss the advantages of a high natural frequency and a low damping ratio. Piezoelectric sensors are well suited for the construction of accelerometers, since they possess these characteristics
A mass m = 3 kg is attached to a spring with spring constant k = 3 N/m and oscillates with simple harmonic motion along the x-axis with an amplitude A = 0.10 m. (a) What is the angular frequency of this oscillation? (b) What is the period T and the frequency f of the oscillation? (c) If the phase constant = 0, write down expressions for the displacement, velocity and acceleration of the mass as a function...
13. A damped mass-spring system with mass m, spring constant k, and damping constant b is driven by an external force with frequency w and amplitude Fo. 2662 where, wo is the (a) Show that the maximum oscillation amplitude occurs when w = natural frequency of the system. where, wd is the (b) Show that the maximum oscillation amplitude at that frequency is A = frequency of the undriven, damped system.
Part A: 10 points each (Questions 1-4) 1. A block mass of 3 kg attached with a spring of spring constant 2000 N/m as shown in the Figure below. The amplitude or maximum displacement Xmax is 5m. Calculatea) Maximum Potential energy stored in the spring b) Maximum kinetic energy of the block c) the total energy-spring block system 2. A small mass moves in simple harmonic motion according to the equation x = 2 Cos(45t), where "x" displacement from equilibrium point in meters and "t"...
1 to 5 please 1. The motion on a work piece is changing from 0 to 1 meter. AY Oon on a work piece is changing from 0 to 1 meter. A variable linear resistance can be used to measure the signal. The value of this resistance changes from 0 to 2000 S2. A 20 source is available. Develop signal conditioning to provide 0 to 10 V output. 2. To measure the small changes in a work niece, a capacitive-displacement...
A spring stretches 0.150 m when a 0.300 kg. mass is hung vertically from it. From this information you can determine the spring constant, k. Next, the spring is set up horizontally with the 0.300 kg. mass resting on a frictionless table. The block is pushed so that the spring is compressed 0.100 m from the equilibrium point, and released from rest. Determine: The spring constant k (in N/m)? The amplitude of the horizontal oscillation (in m)? The angular frequency,...
2. A spring with constant 1.46 N/m has an unknown mass attached to it. It is pulled a set distance and released from rest. The resulting graph for position of the unknown mass as a function of time is shown below. Oscillating Mass-Spring System 08 0.6 0.4 02 position (m) 0 -02 5 -0.6 -0.8 1 time (s) a) What is the frequency? b) What is the amplitude? c) What is the angular frequency? d) What is the mass being...
a 0.675 kg mass is attached to a spring of spring constant 42.4 n/m, pulled, and released. what is the frequency of the resulting oscillation A 0.675 kg mass is attached to a spring of spring constant 42.4 N/m, pulled, and released. What is the frequency of the resulting oscillation? (Unit = Hz) Enter 2000 Acelas Corporation. All Rights Reserved ONHOQE
A particle undergoes damped harmonic motion. The spring constant is 100 N/m; the damping constant is 8.0 x 10-3 kg∙m/s, and the mass is 0.050 kg. If the particle starts at its maximum displacement, x = 1.5 m, at time t = 0, what is the angular frequency of the oscillations?