Centre of gravity of a thin hollow cone lines on the axis of symmetry at a height of _____.

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SSC JE CE Previous Year Paper 15 (Held On: SSC JE CE 4 March 2017 Morning)
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  1. one-half of the total height above base
  2. one-third of the total height above base
  3. one-fourth of the total height above base
  4. None of these

Answer (Detailed Solution Below)

Option 2 : one-third of the total height above base
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Centre of gravity of various plane areas

1) Triangle

F4 N.M Madhu 12.03.20 D8

 

2) Semi circle of radius ‘R’

F4 N.M Madhu 12.03.20 D9

 

3) This Hollow Cone (Right angled)

F4 N.M Madhu 12.03.20 D10

 

4) Trape zoid

F4 N.M Madhu 12.03.20 D11

 

\(\bar y = \frac{{ga + 6}}{{\left( {a + 6} \right)}}\;\left( {\frac{4}{3}} \right)\)

5) sine wave

F4 N.M Madhu 12.03.20 D12

 

6) 4th degree curve

F4 N.M Madhu 12.03.20 D13

 

\(\bar x = \left( {\frac{{6\left( {N + 1} \right)}}{{2\left( {N + 2} \right)}}} \right)\)

\(\bar y = \left( {\frac{{hN}}{{ZN + 1}}} \right)\)

Important Points

  1. Centre of gravity of a thin hollow cone = 1/3
  2. Centre of gravity of a solid cone = 1/4
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