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(A) Find the moment of inertia of a uniform plate shaped like a quarter of a circle of radius R, made to rotate around the square corner (with the rotation axis perpendicular to the plate). Suggestion: have the plate be in the first quadrant (that is, the square corner is the origin) and do the integral in polar coordinates. Express this both in terms of its radius and mass density, and its radius and mass.
(B) The same uniform quarter-circle plate, now made to rotate around an axis that is along one of its straight sides. This one is easier in polar coordinates, but can be done in rectangular coordinates as well. Again, express this both in terms of radius and mass density, and in terms of radius and mass.
Two 19 Ohm resistors connected in parallel are then connected in series to a 10 Ohm resistor. What is the current through the 10 Ohm resistor
A bicycle wheel of mass M (assumed to be concentrated at its rim) and radius R is mounted horizontally so it may turn without friction on a vertical axle. A dart of mass mo is thrown with velocity vo above and sticks in the tire.
To water the yard you use a hose with a radius of 3.50 cm. Water flows from the hose with a speed of 1.10 m/s. If you in part block the end of the hose so the effective radius is now 0.55-cm, with what speed does water spray from the hose.
What's the definition of quantum physics, in layman's terms?
A 1500 kg car traveling at a speed of 20 m/s skids to a halt on wet concrete where kinetic friction= 0.20. How far are the skid marks.
A group of hikers hears an echo 5 s after shouting. If the temperature is 16.0°C, how far away is the mountain that reflected the sound wave.
What is the speed of projectile immediately before it hits the ground if air friction does one and a half times as much work on projectile when it is going down as it did when it was going up.
rate at which mechanical energy is transferred to the turbine blades, assuming 60 percent efficiency.
A coil with an inductance of 14.5 H and a resistance of R = 4.0 ohms is suddenly connected to a resistanceless battery with E = 184.2 V. What is the equilibrium current
All distant galaxies are moving away from us. Describe why this does not imply that we are at the center of universe.
A gas bubble with an initial volume of 7.00 milliliters rises from a depth of meters. If the temperature does not change, what is its volume, to nearest ml, when it reaches the surface (density of water=1000 kg/m^3)?
A singly charged ion of 7Li (an isotope of lithium) has a mass of 1.16×10?26kg, What is the radius of the ion's path in the magnetic field
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