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In 1656, Otto von Guericke of Magdeburg presented his invention, a vacuum pump, through a demonstration that became a popular sensation. A metal sphere made of two hemispheres (now known as the Magdeburg hemispheres) was evacuated, so that a vacuum would hold the two pieces together. Von Guericke would then have several horses (by one account, 30 of them, in two teams of 15) pulling, unsuccessfully, to separate the hemispheres. The demonstration would end with the opening of a valve that removed the vacuum and allowed the hemispheres to separate. Suppose that the diameter of the sphere is 50 cm and the sphere is completely evacuated. The sphere is hung from the ceiling and you pull the other half with the force of your body weight. Will the hemispheres come apart? Support your answer with calculations.
A circle touches the x axis and also touches another fixed circle with center (0,3) and radius = 2 units. What is the locus of the center of the (first) circle
Design a Java application that maintains the data for a simple social network. Each person in the network should have a profile that contains the persons name, current status, and a list of friends.
A 10-mV signal source having an internal resistance of 200 kO is connected to an amplifier for which the input resistance is 20 kO, the open-circuit voltage gain is 2000 V/V, and the output resistance is 1 kO. The amplifier is connected in turn to..
A long thin wire with a linear charge density wavelenght/2 runs through the center of the cylinder. Find an expression for the elcetric field and the direction of the field at each of the following location a)r >R
The purpose of this problem is to show you the connection between Fourier series and linear algebra. For simplicity, we will consider a finite basis. All questions will be referred to the following basis B = {1, sin(400t), cos(400t), sin(800t), cos..
A single-phase transformer has two 120V windings (primary) and one 240V windings (secondary) such that with the two primary in series properly (dot to no dot) the transformer is a 240:240V transformer. A test is run on one of the primary coils (one..
in the process of sampling an analog signal g(t) is multiplied by a periodic train of rectangular pulses c(t)each of unit area ,given that the pulse repetition frequency of this periodic train is fs and the duration of each rectangular pulse is T ..
Design a sequential circuit with input x and output Z. The circuit outputs 1 whenever the input "1100" arrives. For example, the following sequence Z is generated as a result of the following input x
Consider the 1D system whose input-output equation is given by g(x) = f(x)*f(x), where * denotes convolution. a) Write an integral expression that gives g(x) as a function of f(x). Hint: Convolution definition
a) If the excitation voltage E0 is equal to the terminla voltage ( 4kV ), what is the maximum real power which the motor can deliver without losing synchronism b) What is the rotor pole shift in electrical degrees, corresponding to the nominal loa..
basic signals 1.generate and plot using matlabs stem command the sequence xn 0.95n cos?20 n for 0 le n le 63. note
A circuit has in series an electromotive force given b E(t) = 5sin 100t V, a resistor of 10 Ω, an inductor of 0.05 H, and acapacitor of 2 x 10-4 farads. If the initial current andthe initial charge on the capacitor are both zero, find the chargeon..
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