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A thin homogeneous plate has the shape of an equilateral triangle and is suspended from one apex, acting as a physical pendulum. Use the Lagrangian to obtain the equation of motion and find the frequency of small oscillations, assuming the motion takes places in the plane of the plate.
Water is flowing in a cylindrical pipe of varying circular cross-sectional area, and at all points the water completely fills the pipe. What is the radius of the pipe at this point
A radioactive isotope has an activity of 8.09 mCi. After 3.05 hours the activity is 6.31 mCi. What is the half-life of the isotope?
If electrons are accelerated from rest in an electron gun by sending them through a potential difference of 11.0 kV, what is the resulting kinetic energy of each electron?
A 52dB sound wave strikes an eardrum whose area is 5.0×10?5m^2. How much energy is received by the eardrum per second
A Dodge Caravan has a speed of 50 mph and an acceleration of 2 mph second. Which car has the higher speed after 10 seconds have elapsed
A car with a vertical radio antenna 75 cm long drives due east at 30 m/s. Find the induced emf between the ends of the antenna
A 73.6 kg weight-watcher wishes to climb a mountain to work off the equivalent of a large piece of chocolate cake rated at 514 (food) Calories. How high must the person climb
A 5000 W electric heater is used for 32 hours. Calculate the energy consumed in this period. The plates are seperated by a distance of .100 mm. what is the current drawn by the heater
A person pushes a crate rightward along a rough horizontal surface by pushing downward at 30 degrees below the horizontal with a force of magnitude F = 50.0 (N). What is the horizontal acceleration ax of the crate
A spring hanging from the ceiling has an unstretched length of 80 cm. What is the amplitude of the resulting oscillation
1. a 10.0 cm radius piston compresses a gas isothermally from a height of 15.0 cm to 2.50 cm at a constant pressure of
A physical pendulum in the form of a planar object moves in simple harmonic motion with a frequency of 0.220 Hz. Determine the moment of inertia of the pendulum
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