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A silicon cantilever beam is being considered for a mass sensor. the beam dimensions are L= 200 micro meter , w=50 micro meter and t= 3 micro meter. The properties of silicon are modulus of elasticity, E=160 GPa, and density=2.33 gm/cm^3. The sensor will operate in air and has a damping coefficient, b=10^-6 N-s/m. The surface of the beam has been functionalized to bond only with a particular chemical species. It is desired to be able to sense when 500 femtograms of this chemical lands on the beam. It is desired to design the beam sensor to operate at resonance with amplitude of 10nm, what driving force and driving frequency should be used?
A major leaguer hits a baseball so that it leaves the bat at a speed of 32.2m/s and at an angle of 35.2 degree above the horizontal. Calculate the horizontal component of the baseball's velocity
a 44 mh inductor is connected to 220 v 50 hz ac supply. determine the rms value of the current in the
a 1800kg car is traveling along a straight road at 20ms . two seconds later its speed is 24ms . what is the magnitude
Hydrogenic atoms in an ultraviolet light fall from energy quantum state n = 9 to state n = 2 while releasing ultraviolet photons. How many photons are being released per second
A massless spring is compressed between blocks of mass x and 5x on a smooth horizontal frictionless surface. What fraction of the total energy does the small block recieve
There is an isolated point charge of q = +15 ?C. Using a test charge of q0 = +0.80 ?C, determine the E-field at point P which is 0.20 m away
An object of mass 50.5 g is initially placed in boiling water so that it is at 101° C. Then the object is dropped into a calorimeter, Find the specific heat of the object
The ground state energy of an electron in an atom can be roughly estimated by assuming the electron is trapped in an infinite square well the length of which is about 0.2 nm, estimate the ground state energy of an atomic electron
You're driving behind an ambulance on the highway at a speed of 65 mph. If the speed of the ambulance is 60 mph, will the siren sound to you as if its pitch is higher, lower, or the same as it would if both you and the ambulance were stationary This ..
A spherical charged shell of radius R1 is concentric with a spherical charged shell of radius R2=2R1. The surface density of outer shell is +4.0 uC/m2. The electric field out of the outer shell is 0.
Consider n equal positively charged particles each of magnitude Q/n placed symmetrically around a circle of radius a. (a) compute the magnitude of the electric field at a point a distance x from the center of the circle and on the line passing during..
a lump of putty and a rubber ball have equal mass. both are thrown with equal speed against a wall. the putty sticks to
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