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Using the Rayleigh-Ritz method and assuming modes x/I and sin (πx/l),
determine the two natural frequencies and modes of a uniform beam pinned at the right end and attached to a spring of stiffness k at the left end (Figure).
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Question: In recent years, astronomers have found planets orbiting nearby stars that are quite different from planets in our solar system. Kepler-12b, has a diameter that is 1.7 times that of Jupiter (RJupiter = 6.99 Ã- ...
Question: A particle moving along the y-axis has the potential energy U = 4y^3J, where y is in m. A) Graph the potential energy from y=0m to y=2m. B) What is the y-component of the force on the particle at y=0m? C) What ...
Question: A point charge of magnitude q is at the center of a cube with sides of length L. a) What is the electric flux through each of the six faces of the cube? b) What would be the flux through a face of the cube if i ...
Question: Ten days after it was launched toward Mars in December 1998, the Mars Climate Orbiter spacecraft (mass 629 kg) was 2.87x10^6 km from the earth and traveling at 1.20x10^4 km/hr relative to the earth. At this tim ...
Question: A particle moving on the x-axis experiences a force given by Fx = qx 2 , where q is a constant. How much work is done on the particle as it moves from x=0 to x=d? Express your answer in terms of some or all of ...
Question: A pendulum is made by tying a 520g ball to a 46.0cm -long string. The pendulum is pulled 21.0?to one side, then released. A) What is the ball's speed at the lowest point of its trajectory? B) To what angle does ...
Question: Three identical very dense masses of 5200kg each are placed on the xaxis. One mass is at x1 = -110cm , one is at the origin, and one is at x2 = 310cm . What is the magnitude of the net gravitational force Fgrav ...
Question: A simple pendulum consisting of a mass m attached to a massless string of length L is performing harmonic oscillations for small angles. Determine the period T in terms of L and the gravitational acceleration c ...
Question: A) A sled is being pulled along a horizontal surface by a horizontal force F_vec of magnitude 600 N. Starting from rest, the sled speeds up with acceleration 0.08 {\rm m/s}^2 for 1 minute. B) Find the average p ...
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?
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Why might a bank avoid the use of interest rate swaps, even when the institution is exposed to significant interest rate
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