Two blocks each having mass 3.2kg are connected by wire CD and system is suspended from ceiling by another wire ab. The linear mass density of wire ab is 10gm/m and that of CD is 8 gm /m. Find the speed of transverse wave pulse produce in part ab and CD.
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Speed of transverse through stretched string is v = √{T/u}where T is tension and u is mass density.
u for CD = 8gm/m = 8 × 10^-3 Kg/m
u for AB = 10gm/m = 10^-2 Kg/m
for CD rope, speed of transverse wave
tension for wire CD = mg = × 3.2 × 10 = 32N
hence, speed of wave in CD ≈63 m/s
similarly,
tension in CD = 2mg
= 2 × 3.2 × 10 = 64 N
hence, speed of wave in AB = 80 m/s