Question

Problem 11. A stone of 0.5 kg mass is attached to one
end of a 0.8 m long aluminium wire of 0.7 mm diameter and
suspended vertically. The stone is now rotated in a
horizontal plane at a rate such that the wire makes an angle
of 85° with the vertical. Find the increase in the length of the
wire. The Young's modulus of aluminium = 7 x 1010 Nm-2
sin 85°=09962, cos 85°= 0.0872)​

Answer 1

Answer:

By equating force in vertical direction

Tcos85

∘

=mg

T=

Cos85

∘

mg

y=

△l/l

F/A

△l=

△Y

Fl

=

AYCos85

∘

mgl

=1.7×10

−3

m

≃1.67×10

−3

m

Answer 2

Answer:

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