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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.
What least heat is needed to bring 80 of water at 20 to the boiling point and completely boil it away? (answere in Joules).
A horizontal ray of light falls on a vertical plane mirror free to turn about the horizontal axis. If the mirror turns through 20o, by what angle does the reflected ray turn.
A rock of mass m = 1.0 kg is tied to a string of length L = 1.9 m and is twirled in a vertical circle. The speed v of the rock is constant; that is, it is the same at the top and the bottom of the circle. If the tension in the string is zero when the..
What is the total displacement and the angle of displacement
The 1 kg block is tied to the wall with a rope. It sits on top of the 2 kg block. The lower block is pulled to the right with a tension force of 20 N. The coefficient of kinetic friction at both the lower and upper surfaces of the 2kg block is = 0..
How much ice was in bucket before the copper block.
A projectile is fired at an upward angle of 50° from the top of a 145m cliff with a speed of 195 m/s. What will be its speed while it strikes the ground below? (Use conservation of energy.)
when free from rest from this spot, the particle arrives at B with twice the speed it previously had, or 2vB. Find the potential at B.
While a certain rubber band is stretched a distance x, it exerts a restoring force of magnitude F=ax+bx^2, where a and b are constants. The work completed in stretching this rubber band from x=0 to x=L is what.
A 60.0 kg pole vaulter running at 12.0 m/s vaults over the bar. Assume that the vaulter's horizontal component of velocity over the bar is 1.0 m/s and disregarding air resistance, how high was the jump?
compute the accelerations experienced by the blood.
The loaded cab of an elevator has a mass of 3.6 x 10^3 kg and moves 193m up the shaft in 20s at constant speed. At what average rate does the force from the cable do work on the cab.
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