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Problem: A uniform bar of length l and mass m is suspended by two equal springs of equilibrium length b and force constant k, as shown in the diagram.
Find the normal modes of small oscillation in the plane.
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Question: A ring with radius R and a uniformly distributed total charge Q lies in the xy plane, centered at the origin. Part A: What is the potential V(z) due to the ring on the z axis as a function of z? Express your an ...
Question: A sled of mass m is being pulled horizontally by a constant upward force of magnitude F that makes an angle theta with the direction of motion. The coefficient of kinetic friction is mu_k. The average velocity ...
Question: Standing waves on a wire are described by y(x,t)=(ASWsinkx)sin?t, with ASW = 3.00mm , ? = 975rad/s , and k = 0.790?rad/m . The left end of the wire is at x = 0. Part A: At what distances from the left end are t ...
Question: A research submarine has a 30.0cm diameter window 8.80cm thick. The manufacturer says the window can withstand forces up to 1.20 x 10 6 N . What is the submarine's maximum safe depth? The pressure inside the su ...
Question: A proton with an initial speed of 800000 m/s is brought to rest by an electric field. Part A- Did the proton move into a region of higher potential or lower potential? Part B - What was the potential difference ...
Question: Suppose we could shrink the earth without changing its mass. At what fraction of its current radius would the free-fall acceleration at the surface be three times its present value? The response must be typed, ...
Question: An object of mass m attached to a spring of force constant k oscillates with simple harmonic motion. The maximum displacement from equilibrium is A and the total mechanical energy of the system is E. What is th ...
Question: Storm clouds build up large negative charges, as described in the chapter. The charges dwell in charge centers, regions of concentrated charge. Suppose a cloud has -25 C in a 1.0-km-diameter spherical charge ce ...
Question: A small block is attached to an ideal spring and is moving in SHM on a horizontal, frictionless surface. The amplitude of the motion is 0.300mand the period is 3.39s . Part A: What is the acceleration of the bl ...
Question: A parallel-plate vacuum capacitor is connected to a battery and charged until the stored electric energy is . The battery is removed, and then a dielectric material with dielectric constant is inserted into the ...
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