Mechanical Properties of Solids · Question 20

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The length of a light string is 1.4 m when the tension on it is 5 N. If the tension increases to 7 N, the length of the string is 1.56 m. The original length of the string is m.

Answer

Solution

Hooke's law: extension tension L = L0 + cT

1.4 = L0 + 5c … (i)

1.56 = L0 + 7c … (ii)

(ii) − (i): 2c = 0.16 c = 0.08 m N-1

L0 = 1.4 - 5 0.08 = 1.0 m

Answer: 1

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Keep practising — Mechanical Properties of Solids

The fractional compression ( VV ) of water at the depth of 2.5 km below the sea level is %. Given, the Bulk modulus of water = 2 109 N m-2, density of water = 103 kg m-3, acceleration due to gravity g = 10 m s-2.

1.0
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The volume contraction of a solid copper cube of edge length 10 cm, when subjected to a hydraulic pressure of 7 106 Pa, would be mm3. (Given bulk modulus of copper = 1.4 1011 N m-2)

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