Question

A rod, 1 cm2 x 200 cm and mass 2 kg, is clamped at its center. When vibrating longitudinally it emits its third overtone in unison with a tuning fork making 6000 vps. How much will the rod be elongated if, when clamped at one end, a stretching force of 980 N is applied to the other end?

Answer 1

Clince, Volume V = 18200 = 200 cm² 3 V=2x10-4 m3 f = 600 ups = booke mass m= 2kg for third overtone, frequency Boa X- f= 7V 24 V=244 { =L fo 7 Now, for rod V- Y - 2 Y = Young's P= density By 0 and ② modelus mass Volume - m V alf Yr m » AL=F2 y = 422f²m 45V Now, stress GEL y = strain AAL YA 49 F (V) AL 422f2m 4 f2m (LA) 49x980 - DL=0.01667m 4X(600) 2 x 2 ELC49V) Elongation DL=