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a. By using integral calculus, find the area of the region bounded by the graphs of y = x^2 and y = 4. (x and y are in meters.)
b. Consider with the shape with the area calculated in a). The area mass density (sigma=dm/dA) of this material is given by sigma(x, y) = 1 + 2y + 6x2. [in kg/m2]. Obtain the mass of this object.
c. Calculate the rotational inertia of this object when it is spinning around y-axis.
d. Calculate the rotational inertia of this object when it is spinning around x-axis.
An 84.4-mH inductor and a 6.27-µF capacitor are connected in series with a generator whose frequency is 361 Hz. Determine the rms voltage across the inductor
A cell phone transmits at a frequency of 1.28 108 Hz. What is the wavelength of the electromagnetic wave used by this phone
A uniform solid disk with a mass of 23.8 kg and a radius of 0.712 m is free to rotate about a frictionless axle. Forces of 92.0 and 124 N are applied to the disk. Taking the clockwise direction to be the negative direction, what is (a) net torque pro..
What is average kinetic energy of each helium atom
A basketball star covers 2.6 m horizontally in a jump to dunk the ball. His motion through space can be modelled precisely as that of a particle at his center of mass. His center of mass is at elevation 1.02m when he leaves the floor. It reaches a..
A very large cylindrical tank vented to air contains a layer of oil on top of water. At the bottom of the container there is a horizontal pipe of very small radius, What is the unknown thickness of oil in the tank
The first puck is deflected 35.8° to the right and moves off at 0.331 m/s. Find out speed of the second puck after the collision.
A singly charged ion of 7Li (an isotope of lithium) has a mass of 1.16×10?26kg, What is the radius of the ion's path in the magnetic field
Suppose a muon produced as a result of a cosmic ray colliding with a nucleus in the upper atmosphere has a velocity v = 0.9500c. What distance is this in the muon's frame
A speeding motorist traveling 100km/h passes a stationary police officer. The officer immediately begins pursuit at a constant acceleration of 12km/h/s (note the mixed units).
A 4.8mH toroidal inductor has 140 identical equally spaced coils. If it carries an 11.5 A current, how much magnetic flux passes through each of its coils
A tourist takes a picture of a mountain 14 km away using a camera that has a lens with a focal length of 50 mm, What is the ratio of the height of the mountain's image on the camera's image
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