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Question

A block of weight 10 N is fastened to one end of a wire of cross-sectional area 3 mm2 and is rotated in a vertical circle of radius 20 cm. The speed of the block at the bottom of the circle is 2 m/s. Find the elongation of the wire when the block is at the bottom of the circle. Young’s modulus of the material of the wire =2.0×1011 N/m2.

A
0.002 cm
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B
0.003 cm
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C
0.001 cm
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D
0.004 cm
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Solution

The correct option is C 0.001 cm

W=10 N,m=1 kg,A=3×106 m2R=l=0.2 m,V=2 ms1,Y=2×1011,Δl=?
Δl=Stress×lY
TW=m×v2R
T=W+m×v2R
T=10+1×220.2
T=30 N
Δl=T×lA×Y
Δl=30×0.23×106×2×1011
Δl=105 m

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