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A traffic light of mass m1 hangs from the end of a beam of length L and mass m2, which is supported at an angle θ away from the vertical by a freely pivoting hinge at its bottom-most point and by a string pulling precisely horizontally on the beam at a distance 3/4 L from the hinge as measured along the beam. Note that in supporting the beam, the hinge has to supply a force with components in both the horizontal and vertical directions. What is the tension in the horizontal string in terms of m1, m2, g, L, and ??
A variable-frequency AC generator with maximum voltage 31 Volt is connected across a 9.8 × 10-8 F capacitor. Find at what frequency should the generator be operated
A Geiger counter measures 750 counts in 5.0 min. Determine the average counting rate per minute, and the standard deviation of the counting rate
a laser beam is reflected by a plane mirror. it is observed that the angle between the incident and reflected beams is
A block starts with a certain speed at the top of a frictionless inclined plane with an unknown angle to the horizontal. To calculate the time required for the block to reach the bottom of the plane.
Within a typical thunder cloud there are electric charges of -40 C and +40 C separated by a vertical distance of 5 km. Treating these charges as point like, find the magnitude of the electric force of attraction between them.
A ray is incident on a sheet of transparent material by parallel sides. The angle of incidence is 60° and the thickness of the sheet is t = 1.40 cm. As the ray passes during the sheet, it is displaced x = 0.650 cm from its original direction of motio..
Gas is contained in a 9.00-L vessel at a temperature of 25.0°C and a pressure of 5.00 atm. Determine the number of moles of gas in the vessel
A pump lifts 200kg of water per hour a height of 5 meters. Find the minimum necessary power output rating of the water pump in horsepower and watts
Near the end of a marathon race, the first two runners are separated by a distance of 65.0 m. The front runner has a velocity of 3.25 m/s, What is the magnitude of the velocity of the second runner
A camera with interchangeable lenses is used to photograph a distant object. The angular size of the object is 27 degrees. What is the longest focal length lens
The springs of a 1500kg car compress 6.0mmwhen its 61kg driver gets into the driver's seat. what will be the frequency of oscillations
You are using a standard microscope with a 0.10NA 4x objective and switch to a 0.65NA 40x objective. What are the acceptance angles for each
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