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Question: A micro cantilever with a length l = 200 nm, width w = 25 nm, thickness h = 2 nm, Young's modulus E = 160 GPa, and mass density t = 5800 kg/m3 has two strain gauges (Kg = 2) attached at its root; the gauges are connected in a half Wheatstone bridge (with vi = 15 nV). The cantilever is attached to a massless platform (base), which has a sinusoidal motion u = 10 sin(100t) nm. Determine the point mass that attaches at the cantilever free end knowing the output voltage amplitude of the Wheatstone bridge, which is DV0 = 5 nV. Use a lumped-parameter model without damping.
An object's true weight is 123 N. When it is completely submerged in water, its apparent weight is 82 N. what is the density of the object
An isolated conductor of arbitrary shape has a net charge of 6.0 uC. Inside the conductor is a cavity within which is a point charge 66.5 uC, What is the charge on the outer surface of the conductor
What capacitance is required to store an energy of 11 kW•h at a potential difference of 900 V
Two particles with masses m and 3m are moving toward each other along the x axis with the similar initial speeds vi. Particle m is traveling to the left, while particle 3m is traveling to the right.
A switch that connects a battery to a 22 μF capacitor is closed. Several seconds later you find that the capacitor plates are charged to 30 μC. What is the emf of the battery? Express your answer with the appropriate units.
A planet of mass 6 × 1024 kilogram is at location ‹ -3 × 1011, 8 × 1011, 0 › meter. Calculate the force exerted on the planet by the star
if a car traveled at an average speed of 80 km per hour for 20 minutes and then slowed to an average speed of 50 lm per
A cat walks along a plank (length = 4.00 m and mass = 7.00 kg). What is the mass of the cat
A resistor with resistance R and a capacitor with capacitance C are connected in series to an AC voltage source. The time-dependent voltage across the capacitor is given by VC(t)=VC0sin wt.
An AC series circuit contains a resistor of 20?, a capacitor of 0.75 ?F and an inductor of 120mH. What frequency should be used to create a resonance condition in the circuit
a rock is dropped into an abandon mine and a splash is heard 10 s later. how fast the rock was falling when it hit the water
Assume that a 7.0 cm diameter, 120 W light bulb radiates all its energy as a single wavelength of visible light. Estimate the electric field strength at the surface of the bulb
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