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Explanation:
A mass of 6 kg is suspended from a steel wire of length 1 meter to form a
pendulum arrangement.
Of the mass is moved to one side and released from the horizontal position of wire then
find the maximum extension in the length of the wire.?
given steel=6 x 10^11 N/m^2 area of cross
section of wire =1 mm^2 ,g=10m/s^2
velocity at lowest position =√6g=√2*10=√20 m/s ,∴g=10m/s^2
now force at lowest position F=6g+2*20/1= 2*10+40 = 20+40 = 60 N
Y=60/10^-6/ΔL/1
2×10^11=60/ΔL*10^-6
60/2*×10^11*10^-6=ΔL
ΔL=3*10^-4 m
ΔL=0.9 mm
maximum extension in the length of wire is 0.3mm
.
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