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Question1
A space platform in form of a thin circular disc of radius a and mass m (flying saucer) is initially rotating steadily with angular velocity ω about its symmetry axis. A meteorite strikes the platform at the edge, imparting an impulse P to the platform. The direction of P is parallel to the axis of platform, and magnitude of Pis equal to maω/4. Find out the resulting values of the processional rate Ω, the wobble rate φ, and an angle α between symmetry axis and the new axis of rotation.
Question2
A jet is circling an airport control tower at a distance of 18.0 km. An observer in tower watches the jet cross in front of the moon. As seen from the tower, the moon subtends an angle of 9.25x10-3 radians. Find out the distance travelled (in meters) by the jet as observer watches the nose of the jet cross from one side of the moon to the other.
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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