Athin disk of mass 350 grams and radius 10 mm is attached to the end of a circular shaft of length 20 cm, radius 3 mm that is made from a material of elastic modulus l 50x10' n/m. and shear modulus 50x10, n/m2. what are the (a) natural frequency for longitudinal motion of the disk, (b) natural frequency for torsional oscillation of the disk and (c) natural frequency for transverse motion of the disk. assume the shaft is massless in all cases.

Tafari worked one summer on a ship that set weather buoys in the ocean. he watched how one of the buoys moved in the water. describe which parts of the wave would cause the buoy to bob up and down. which wave property determined how fast the buoys bobbed in the water? he observed that when the wind blew harder, the ocean waves were larger, and the buoys moved away from the ship. what effect, if any, did the waves have on how far the buoys moved? explain your answer.

Inside of a windmill or a dam is a that is used to transform one type of energy into electrical energy. a. motor b. generator c. transformer d. power pack

Arunner is training for an upcoming marathon by running around a 100-m-diameter circular track at constant speed. let a coordinate system have its origin at the center of the circle with the x-axis pointing east and the y-axis north. the runner starts at (x, y) = (50 m, 0 m) and runs 2.5 times around the track in a clockwise direction.