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Theoretically derive the equation for the period of a ring pendulum. A ring pendulum is a ring with a notch set on a knife edge and pushed a small bit to oscillate at small amplitudes, so that it exhibits simple harmonic motion. We are to start with the equation for the period of rotary simple harmonic motion \(T = 2 \pi\sqrt{I/Lo}\)
Note: The moment of inertia of a body about any axis is equal to the moment of inertia it would have if the mass were all concentrated at the center of gravity plus the moment of inertia of the distributed mass about a parallel axis through its own center of gravity.
Find the magnitude and direction of the rockets acceleration
A surfer is zipping northeast across the river with a velocity of 10 m/s relative to the water. what is the true velocity of the surfer
A 0.50 kg block rests on the icy surface of a frozen pond, which you can assume to be frictionless. what is the minimum uncertainty in the block's speed
ecording engineer works in a soundproofed room that is52.0 dB quieter than the outside. what is the intensity outside
A 6 µF capacitor carries a charge of 20 µC. If it is connected in a loop with a 5 ? resistor, what is the energy stored in the capacitor 8 µs after the connection is made
A U-shaped tube is partly filled with water and partly filled with a liquid that does not mix with water. what is the density of the liquid
In the figure below, water flows through a horizontal pipe, and then out into the atmosphere at a speed of v1 = 13 m/s. What is the gauge pressure in the left section of the pipe
A person can focus clearly only on objects between 37.5cmand 51.0cm from his eyes. Find the powers of the correcting contact lenses needed to correct his closeup vision and distant vision
After emptying her lungs, a person inhales 4.24 L of air at 0 °C and holds her breath. How much does the volume of the air increase as it warms to her body temperature of 37.1 °C
A helicopter flies over the arctic ice pack at a constant altitude, towing an airborne 126-kg laser sensor which measures the thickness of the ice, find the tension in the cable towing the sensor
A battery charger is connected to a dead battery and delivers acurrent of 8.0 A for 5.4 hours, keeping the voltage across thebattery terminals at 12 V in the process. How much energy isdelivered to the battery?
A crate is dragged across a rough floor by a force of 120N asz` shown below. A friction force of 40N acts to slow the motion of the crate. what is the net work done
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