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Damped forced oscillationsA single stage vibration isolation system consists of a heavy granite slab (100 kg) sitting on legs which act as a vertical damped spring. The "Q" (Quality Factor) of the system is 8.0, and the velocity damping coefficient is 80 kg/s. What is the natural frequency of oscillation of the slab? Write down the equation of motion for the slab assuming that the ground is moving up and down like like A*cos(wt). I used w, but it's really an omega. At what frequency is this ground motion attenuated by a factor of 1000? (In other words at what frequency the slab moves with an amplitude of A/1000?)
I've never used this before, but please understand that I will not be upset if a solution is not 100% correct. I will be happy with your best answer based on the information provided, as I am sure that it will be significantly better than a solution I come up with. I've done well in this class (Classical Mechanics) up to this point, but every question is 10x harder than anything we have encountered before. If they were like previous problems we encountered, I would be more than happy and excited to solve them myself, but my confidence is taking a major beating.
A rifle with a barrel length of 56 fires an 8 bullet with a horizontal speed of 350. The bullet strikes a block of wood and penetrates to a depth of 14. (a) What resistive force (assumed to be constant) does the wood exert on the bullet? (b) How long..
A long wire lying along the x-axis carries a current of 2.8 A in the +x direction. There is a uniform magnetic field present, given by B=0.003i + 0.004j + 0.002k, where i, j, k are the unit vectors along the cartesian coordinate axes') in units of..
An indestructible bullet 1.85 cm long is fired straight through a board that is 11.10 cm thick. The bullet strikes board with a speed of 455m/s and emerges with a speed of 279m/s. (To simplify, suppose that the bullet accelerates only while the fr..
A car of mass = 1300 travelling at 56.0 enters a banked turn covered with ice. The road is banked at an angle, and there is no friction between the road and car's tires. What is the radius of the turn if = 20.0 (assuming the car continues in uniform ..
An airplane flies 200km due west from city Band then 285 km in direction of 28 degrees north of west from city B to city C. in a straight-line distance how far is city C from city A.
A rocket is launched at an angle of 56.0° above the horizontal with the initial speed of 101 m/s. The rocket moves for 3.00 s along its initial line of motion with an acceleration of 28.0 m/s2. At this time, its engines fail and the rocket proceeds..
A cement block accidentally falls from rest from the ledge of a 74.8-m-high building. When the block is 18.4 m above the ground, a man, 2.10 m tall, looks up and notices that the block is directly above him. How much time, at most, does the man have ..
While on vacation you rent a moped and go cruising around a tropical island. If you take a 10.0° banked curve with a radius of 15.0 meters at 12.0 m/s, what is the minimum coefficient of static friction between your tires and road to keep the tires f..
A crate of 30.2- tools rests on a horizontal floor. You exert a regularly increasing horizontal push on it and observe that the crate just begins to move while your force exceeds 319. After that you must reduce your push to 227 to keep it moving at a..
A circuit contains six 240 ohm lamps with 60 W bulbs and a 10 ohm heater connected in parallel. the voltage across the circuit is 120 V. If the circuit has a fuse rated at 12 A, would it melt if everything is on.
Presume your local government wants to raise your taxes in order to support the construction of wind and solar power plants that can give your town with low-polluting energy and help decrease your town's dependence on fossil fuels for energy. Would y..
Find out the gravitational potential energy
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