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Q1. A straight ladder that has the length of 10m is placed against a building 12 m height. The ladder forms an angle with the ground such that the base of the ladder is 2.0 m from the wall. Assume ladder weights 50kg. A person climbing the ladder weights 100 kg, and assuming that there centre of gravity acts at a distance of 1m vertically away from their point of contact on the ladder rungs. The coefficient of friction between ladder and floor is 0.60. If a worker stands 1m (vertically) from the top of the ladder how much force is required to tip the ladder away from the wall? Imagine the force is acting horizontally against the top of ladder. Avoid any vertical force at the wall.
Q2. A person walks 36° north of east for 2.36 km. How far would another person walk due north and due east to arrive at the similar location?
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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