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A particle is constrained to move (without friction) on a circular wire rotating by constant angular speed ω about a vertical diameter. Discover the equilibrium position of the particle, and compute the frequency of small oscillations around this position. Discover and interpret physically a critical angular velocity ω=ωc that divides the particle's motion into two distinct types. Construct phase diagrams for the two cases ω<ωc and ω>ωc.
One liter of helium at STP is heated at constant volume to 100 C. It is then allowed to mix in an insulated container with one liter of methane which is initially at STP, the final volume being two liters.
A 5.00 m long rigid beam with a mass of 110.0 kg is supported at each end. How much upward force does each support exert on the beam
A charge +q is at the origin. A charge -2q is at x = 9.10 m on the +x axis. (a) For what finite value of x is the electric field zero? (b) For what finite values of x is the electric potential zero? (Note: Assume a reference level of potential V =..
Two lightweight rods 24centimeter in length are mounted perpendicular to an axle and at 180 degree to each other. Find the component of the total angular momentum along the axle
A 0.20 kg hockey puck slides across a frictionless ice rink at a constant speed of 25 m/s. Ignoring air resistance, what is the work done on the puck while it is sliding
q1. a football spends a total of 5 seconds in the air. it reaches a peak height of 30 meters. how long does it take to
The Hall effect can be used to determine the density of mobile electrons in a conductor. Find the density of mobile electrons in the material
The overhead projector used in our lectures form (approximately) 2m-tall images of transparencies that are 30 cm tall. The screen is approximately 3m from the projector.Using these numbers, what must the focal length of the projector lens , in cm?
A car takes 9 s to go from v = 0 to v = 75 m/s at approximately constant acceleration. If you wish to find the distance travelled using the equation d = 1/2 at2, what value should you use for a.
The equation of a transverse wave traveling in a rope is given by y=10sinx(0.01x-2.000. where y and x are expressed in centimeters and t in seconds. Find the amplitude, frequency, velocity and wavelength of the wave. Find the maximum transverse speed..
a hammer strikes one end of a thick iron rail of length 8.5 m. a microphone located at the opposite end of the rail
a 2.00 kg block slides along a horizontal surface and is moving at 5.00 ms just as it strikes a horizontally-mounted
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