a 0.5 kg block B slides without friction inside a slot cut in arm OA which rotates in a vertical plane. the rod has a constant angular acceleration theta = 10 rad/s^2. knowing that when theta = 45 and r = 0.8 m the velocity of the block is zero, determine at this instant (a) the force exerted on the block by the arm, (b) the relative acceleration of the block with respect to the arm

What are similarities and differences of reflection, refraction, diffraction and absorption?

Suppose water is leaking from a tank through a circular hole of area ah at its bottom. when water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tank per second to cah 2gh , where c (0 < c < 1) is an empirical constant. a tank in the form of a right-circular cone standing on end, vertex down, is leaking water through a circular hole in its bottom. (assume the removed apex of the cone is of negligible height and volume.) (a) suppose the tank is 20 feet high and has radius 8 feet and the circular hole has radius 2 inches. the differential equation governing the height h in feet of water leaking from a tank after t seconds is dh dt = − 5 6h3/2 . if the height of the water is initially 8 feet, how long will it take the tank to empty? (round your answer to two decimal places.)

The diagram shows a series of volcanic island and a hot spot determine the direction of movement of the tectonic plate that for the island