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.

mistakes are ok

it was given as a lesson and guide for prayer.

it's when something is going so fast it makes a loud noise, breaking the sound barrier, for example: a jet makes a loud noise, not only cause of the jet but because they reached a point where they went so fast that you can year the noise from various parts, kinda like a police car, lets say the car was going   so fast that you hear the siren of the cop car right next to you, but the car is probably a mile a way, it's cos the siren was next to you a few seconds if you understand me

im srry but ur wrong the answer is d a smooth rock, some red dirt, and an empty bird's nest.