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Hooke's Law

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A mass (M) attached to a spring, oscillates with a period of (2 sec). If the mass in increased by (2 kg) the period increases by one sec. Find the initial mass (M) assuming that Hook's Law is obeyed.

When a person stands on a weighing balance, working on the principle of Hooke's law, it shows a reading of 60kg after a long time and the spring gets compressed by 2.5cm . If the person jumps on the balance from a height of 10cm , the maximum reading of the balance will be

When a 4 kg mass is hung vertically on a light string that obeys Hooke's law, the spring stretches by 2 cm. The work required to be done by an external agent in stretching this spring by 5 cm will be ( g=9.8(metrs)/(sec^2) )

Assume that the least load which would break a thread when simply suspended from it is M and that this load produces a strain of 1 percent at the moment of breaking. Also assume that Hooke's law applies to the thread right up to breakingpoint. A load of mass m is suspended from a thread of length lambda . It is raised to a height and released. Find the least height to which the load must be raised so that it will will break the thread when allowed to fall.

A copper wire is stretched at a temperature of 150^(@)C between two strong fixed walls. At what temperature, will the wire break when it cools ? Assume Hooke's law is applicable till the wire breaks. alpha_(Cu) = 1.6 xx 10^(-5) /degree Y_("copper") = 11.8 xx 10^(10) N//m^(2) Ultimate strength of copper = 2.45 xx 10^(8) N//m^(2)

If a spring is extended to length l , the according to Hook's law

Hook's law defines

SL ARORA-Mechanical Properties of Solids-Example
  1. Hooke's Law

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  2. The length of a suspended loire increases by 10^-4 of its original len...

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  3. A uniform wire of steel of length 2.5m and density 8.0gcm^(-3) weighs ...

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  4. A structural steel rod has a radius of 10 mm and a length of 1.0 m. A ...

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  5. A structural steel rod has a radius of 10 mm and a length of 1.0 m. A ...

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  6. A structural steel rod has a radius of 10 mm and a length of 1.0 m. A ...

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  7. What is the percentage increase in length of a wire of diameter 2.5 mm...

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  8. The breaking stress for a metal is 7.8 xx 10^9 Nm^-2. Calculate the ma...

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  9. A rubber string 10m long is suspended from a rigid support at its one ...

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  10. A silica glass rod has a diameter of1cmand is 10 cmlong. The ultimate ...

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  11. A composite wire of uniform diameter 3.0 mm consisting of a copper wir...

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  12. The maximum stress that can be applied to the material of a wire used ...

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  13. A mass of 100 grams is attached to the end of a rubber string 49 cm. l...

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  14. A uniform heavy rod of weight W, cross sectional area a and length L i...

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  15. A steel wire of uniform cross-section 1 mm^(2) is heated to 70^(@)C an...

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  16. The presssure of a medium is changed from 1.01xx10^(5) Pa to 1.165xx...

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  17. The average depth of indian Ocean is about 3000 m. The fractional comp...

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  18. A sphere contracts in volume by 0.01% when taken to the bottom of sea ...

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  19. If the normal density of sea water is 1.00 g//cm^(3), what will be its...

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  20. A cube is subjected to pressure of 5 xx 10^(5)N//m^(2). Each side of t...

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  21. Calculate the presure required to stop the increases in volume of a co...

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