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A particle of mass m is placed on a frictionless horizontal table and attached by two identical massless spicral springs of natural length b and stiffness k, to two fixed points A and B on the table. Points A and B are a distance 2a apart, where 2a>2b, so that the springs are stretched. The particle is then given a displacement along the line of the springs and released. Show that the motion that ensues is simple harmonic motion, and find its period.
A 4m long, 140g rope is fixed at one end while the other is tied to a light string. what is the frequency of the third harmonic
A bowling ball of mass 1 kg hits a spring with velocity 1 m/s. The spring constant is also 1 (how convenient!). What is the maximum compression of the spring in centimeters
Two moles of a monatomic gas with an rms speed of 294 m/s are contained in a tank that has a volume of 0.12 m3. If each gas particle has a mass of 8.220 × 10^-26 kg, what is the temperature and absolute pressure of the gas?
A single-turn current loop, carrying a current of 4.41 A, is in the shape of a right triangle with sides 42.1, 94.5, and 103 cm. What is the magnitude of the net force on the loop
Microcontrollers usually do not include D/A converters but you can easily create a crude version of one usually signle digital I/O pin. This can be done by outputting a variable-width pulse train to an RC circuit.
You are trying to overhear a juicy conversation, but from your distance of 15m. It sounds like only an average whisper of 20 dB. So you decide to move closer to give the conversation a sound level of 60 dB instead. How close must you come.
A spherical balloon has a radius of 8.45 m and is filled with helium. How large a cargo can it lift, assuming that the skin and structure of balloon have a mass of 1300 kg? Overlook the bouyant force on the cargo volume itself.
A person is riding a bicycle, and its wheels have an angular velocity of 16.1 rad/s. What is the anguar acceleration (in rad/s2) of each wheel
A track athlete running at fast pace had an instantaneous resultant force of 2800 N acting through the heel during heel strike, what were the horizontal and vertical forces acting on the heel
The isotope 64Cu can decay by EC, beta- and beta + transtions, calculate the average enrgies of emitted beta- and beta +
A wooden rod of negligible mass and length 82.2 is pivoted about a horizontal axis through its center. A white rat with mass 0.440 clings to one end of the stick, and the mouse with mass 0.220 clings to the other end. The system is released from rest..
A sphere of mass 2.8 kg is suspended from a cord. A steady horizontal breeze pushes the sphere so that the cord makes an angle of 40° with vertical when at rest.
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