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Determine the normal mode frequency of the Lagrangian, given by L=(1/2)(xdot2 +ydot2)-(1/2)(ω21x2+ω22y2)+ αxy ,where α is constant xdot =ydot means derivative with respect time.
The Young's modulus (for compression) for a section of compact bone in the femur is 10 GPa. what strain results from this compression
A uniformly charged, straight filament 4.50 m in length has a total positive charge of 2.00 µC. find the electric field at the surface of the cylinder
A horizontal conductor in a power line carries a current of 5500 A from south to north. Find the magnitude and direction of the magnetic force
A coil has a DC resistance of 90 ? and animpedance of 200 ? at a frequency of 1.5 kHz. What is the inductance of the coil
A car is traveling at 27 m/s when the driver spots a large pothole in the road a distance 44 m ahead. She immediately applies her brakes. If her acceleration is -9.7 m/s2, does she arrange to stop before reaching the pothole.
The amount of internal enrgy needed to raise temperature of .25kg of water by .2 degreesCis 209.3J. How fast must a .25kg baseball travel in order for its kinetic energy to equal this internal energy.
A 7-turn coil encloses a square area measuring L = 0.31 m on each side, evaluate the magnitude of the torque on the coil
Initially, an object is 12cm to the left of a convex lens of focal length 8.2cm, then a concave (diverging) lens of local length -9cm is placed 20cm to the right of the convex lens, find the Image distance from concave lens
A proton and an alpha particle are released from rest when they are 0.225nm {\rm nm} apart. Find the maximum speed of proton
Two point charges, q1 = +23.0 nC and q2 = +10.0 nC, are located on the x-axis at x = 0 and x = 1.00 m, respectively. Where on the x-axis is the electric field equal to zero
A solar cell has a light-gathering area of 10 cm^2 and produces 0.2 A at 0.8 V (DC) when illuminated with S = 1000 W/m^2 sunlight. What is the efficiency of the solar cell
A parallel-plate capacitor is made from two aluminum-foil sheets, each 5.6 wide and 6.0long. evaluate the capacitance of this capacitor
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