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Derive Lagrange's equation of motion for a uniform thin dizk that rolls without slipping on a horizontal plane under the influence of a horizontal force applied at its center. Determine the generalized force.
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Problem: A student knows that an ambulance siren has a frequency of fs = 393 Hz. He measures, when the ambulance is approaching him, the frequency fo = 415. Assume the speed of sound is 343 m/s in this problem. Randomize ...
Question: As Shown in the figure, there are 3 point charges along the x-axis located at 3,8, and 11 cm. What is the x-component of the force on the charge located at x = 8 cm given that q = .85 uC in N? The response must ...
Question: You are testing a new amusement park roller coaster with an empty car with a mass of 110KG . One part of the track is a vertical loop with a radius of 12.0 METERS . At the bottom of the loop (point A) the car h ...
In an attempt to skip a rock off the surface of a lake, you throw the rock from a height h=1.67 m above the lake surface with an initial speed of v0 = 6.85 m/s at an angle of θ=12.3° below the horizontal. How long until ...
Question: A series RLC circuit of R = 200 ohm, L = 0.900 H and C = 2.00 uF carries an rms current of 0.250 A with a frequency of 100 Hz. (a) What is the average rate at which electrical energy isconverted to heat in the ...
Question: A real image is four times as far from a lens as is the object. What is the object distance, measured in focal lengths? The response must be typed, single spaced, must be in times new roman font (size 12) and m ...
Questin: A research submarine has a 30-cm-diameter window that is 9.0cm thick. The manufacturer says the window can withstand forces up to 1.2*10^6N . What is the submarine's maximum safe depth in salt water? The pressur ...
Question: A parallel-plate air capacitor has a capacitance of 920 pF. The charge on each plate is 2.55 µC. (a) What is the potential difference between the plates? (b) If the charge is kept constant, what will be the po ...
A ski jumper leaves the ski track moving in the horizontal direction with a speed of 15.0 m/s. The landing incline below her falls off with a slope of 45.0 degrees. Where does she land on the incline?
Question: A projectile is fired from a gun near the surface of Earth. The initial velocity of the projectile has a vertical component of 98 meters per second and a horizontal component of 49 meters per second. How long w ...
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