The CG of a semicircular plate of 66 cm diameter, from its base, is

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  1. 8/33 cm
  2. 1/14 cm
  3. 14 cm
  4. 63/8 cm

Answer (Detailed Solution Below)

Option 3 : 14 cm
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Detailed Solution

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Concept:

The CG of a semicircular plate of  r radius, from its base, is

\(\bar y = {4r\over 3 \pi}\)

Electrician 34 18 8

Calculation:

Given:

r = 33 cm

\(\bar y = {4r\over 3 \pi}={4\times 33\over3\times{22\over 7}}\)

y̅ = 14 cm

∴ the C.G. of a semicircular plate of 66 cm diameter, from its base, is 14 cm.

Additional Information

C.G. of the various plain lamina are shown below in the table. Here x̅  & y̅  represent the distance of C.G. from x and y-axis respectively.

Circle F1 Krupalu 25.11.20 Pallavi D6.1
Semicircle Electrician 34 18 8
Triangle Electrician 34 18 6
Cone Electrician 34 18 5
Rectangle Electrician 34 18 7
Quarter Circle Electrician 34 18 9
Solid hemisphere RRB JE ME 60 14Q EMech1 HIndi Diag(Madhu) 11
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