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A) Its 1.5 m long mass, one end of which is connected to the ceiling of the room, is negligible and flexible a small object weighing 0.75 kg is hung on the free end of a rope. This object will make a 30° angle with the vertical it makes a circular motion with a speed of 25 rad /s.
a1) What is the rotational kinetic energy of this object?
a2) What is the rotational kinetic energy of the object if the angle is 60°?
B) A thick stick of length L = 2.0 m is denser at one end than the other, and the density is λ = (0.42 kg /m) - (0.15 kg /m²) depending on the distance x is given by x. Passing through the heavy end of the stick and rotates around the axis perpendicular to it with a period of T = 0.30 s.
Find the rotational kinetic energy of the stick.
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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