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.

Cardiac muscle causes movement in the bone.

Distance covered = speed x timethe distance traveled going against the stream = distance traveled with the stream.therefore it is the speed and the time that are the variables.as he travels the same distance both ways, speed x time is the same for each way.going upstream his speed is 4 kph; going downstream his speed is 6 kph.therefore we have two simultaneous equations: time upstream x 4 = time downstream x 6time upstream + time downstream = 60 minutestherefore we have the equation: time upstream = 6/10 hour, time downstream therefore = 4/10 hour.distance traveled at 4km/hr in 6/10 hour = 24/10 = 2.4km.check: distance traveled at 6km/hr in 4/10 hour = 24/10 = 2.4km.