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A pendulum is constructed by attaching a mass M to an extension less string of length L. The upper end of the string is connected to the uppermost point on a vertical disk of radius R (R < L/π). Determine the pendulum equation of motion, and the frequency of small oscillations.
The gauge pressure in a helium gas cylinder is initially 26atm. What fraction of the original gas remains in the cylinder
two wires are identical except that one is aluminum and one is copper. the aluminum wire has a resistance of 0.832.
Two resistors, 66.0 ? and 68.0 ?, are connected in parallel. The current through the second resistor is 3.80 A. Determine the current in the first resistor
The tension at which a fishing line snaps is commonly called the line's "strength." Compute what minimum strength is needed for a line
Two power supplies are connected in series. The maximum voltage of each power supply is8.3V and 15.0V respectively, what is the resulting maximum voltage produced by the supplies
A freezer with a coefficient of performance of 3.53 is used to convert 1.61kg of water to ice in one hour. How much heat is discarded into the room that houses the freezer
A uniform ion beam of radius R consists if N' ions per meter ofmass m, speed v, and charge q. Find the Lorentz force (due toboth E and B) on an ion at the edge of the beam. At whats peed would the force become zero?
The two liquids do not mix. What is the difference in height between the top surface of glycerine and top surface of the alcohol.
Ice has formed on a shallow pond, and a steady state has been reached, with the air above the ice at -4.1°C and the bottom of the pond at 4.0°C. how thick is the ice
The electric potential inside a conducting sphere is 245V, and a distance d = 32.0cm from the surface of the sphere, the potential is 175V. Calculate (a) the radius of the sphere and (b) the charge on the sphere.
A crane which is effectively fixed to ground lifts a box of mass m with constant speed. The arm of the crane is supported at its base by a friction-free pivot. Determine the tension in the supporting cable
a 4.5v battery is connected to a wire made of three segments of different metals connected one after another 12cm of
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