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Having trouble figuring out the total time it takes for something following the path of a brachistochrone. Starting at some point along and falling due to gravity to the lowest point. Equation I have is (a^.5/g^.5)*(1-cos(t))^.5/(cos(t_o)-cos(t))^.5 a and g are constants and t_o is the initial angle at which the particle is at in relation to the brachistochrone. Can not get this function to integrate on Mathematica or Calculator; no consistent answers. Mathematica returns part of the integrate as an imaginary number and I don't know why.
A uniform magnetic field passes through a horizontal circular wire loop at an angle 16.2° from the normal to plane of the loop. compute the magnetic flux through the loop
An object of mass m = 0.33 kg sits on a frictionless surface and is attached to the end of a spring with spring constant k = 2.5 N/m. What is the frequency of oscillation
An object known to be made of copper (p=8.89 g/cm^3) and aluminum (p=2.7 g/cm^3) "weighs" 25 g in air but only 20 g in water. How much copper is in the object
An athlete at a gymnasium holds a 3.0kg steel ball in his hand. His arm is 70cm long and has a mass of 4.0kg. Calculate the magnitude of the torque about his shoulder if he holds his arm
Calculate the force a mother must exert to hold her 12.0 kg child in an elevator accelerates upward at 0.850 m/s2
The suspension cables on the Brooklyn Bridge are 15.75 in. diameter wire ropes. Estimate the total drag force on one of the cables in a 40 mph wind if the length of one cable is about 3000 ft and the air temperature is 70o F.
A photon is scattered 60.0° during a collision with an electron, which is initially at rest and gains a speed of 6.00× 106 m/s during the collision
Two plastic spheres, each carrying charge uniformly distributed throughout its interior, are initially placed in contact and then released, Find the maximum speed achieved by the sphere of mass 50.0g
Which of the following statements is true for an elastic collision?
What is your displacement after running 2.60 west on Strawberry Fields, 1.1 south on Penny Lane, and 5.0 north of east at 40 degree on Abbey Road.
What is the speed of the center of mass
A rowboat with a mass of 94 kg carries a 61 kg rower and 34 kg of water that has accumulated in the bottom. What is the subsequent speed of the boat
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