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Consider a heavy particle of mass m is place at the top (on the outside side, not inside) of a vertical hoop of radius R and mass M. The hoop can slide on the ground without any friction along the x-axis. Calculate the reaction of the hoop on the particle by means of the Lagnrang'e undetermined multipliers:
a. write the lagrangian
b. derive lagrange's equations
c. find the location of the hoop center X as a function of angle theta of the falling particle.
A vibrating guitar string emits a tone simultaneously with one from a 500-Hz tuning fork. If a beat frequency of 5 Hz results, what is the frequency of vibration of the string
a 1490 kg car has just passed a diner. the closest the car came to the diner was r=40.5, what is the current magnitude of the angular momentum of the car about the diner
An ac generator producing 10 V (rms) at 300 rad/s is connected in series with a 25-? resistor, The rms current in the circuit (in mA) is
A hydrogen atom is in its n = 8 excited state. Determine, according to quantum mechanics, find the total energy (in eV) of the atom
a student builds and calibrates an accelerometer, which she uses to determine the speed of her car around a certain unbanked highway curve. what is the radius of the curve
A disk spins with increasing angular velocity. Point Q on the disc is twice as far from the axis of rotation as in point P. Which point has the larger radial acceleration
While rearranging a dorm room, a student does 276 J of work in moving a desk 1.7 m. What was the magnitude of applied horizontal force.
A lunar lander is making its descent to Moon Base I. The lander descends slowly under the retro-thrust of its descent engine. What is the speed of the lander
In an integrated circuit, the current density in a 3.0??m?thick× 80 ??m?wide gold film is 7.9×105A/m2. How much charge flows through the film in 15 min
An ideal gas initially at 20°C and 199 kPa has a volume of 3.40 L. It undergoes a quasi-static, isothermal expansion until its pressure is reduced to 94 kPa. (a) Find the work done by the gas. J (b) Find the heat added to the gas during the expans..
a circular wire coil with resistance 1.4 and an area 5.0x10^-3m^2 lies perpendicular to a magnetic field that's increasing at 2.0T/s, how many turns are in the coil?
A helium-neon laser beam has a wavelength of 633 nm in air. What is the wavelength of the light in that liquid
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