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Engineering Mechanics Miscellaneous

Engineering Mechanics

  1. Acircular disc of radius 100 mm and mass 1 kg, initially at rest at position A, rolls without slipping down a curved path as shown in figure. The speed v of the disc when it reaches position B is _________ m/s.
    Acceleration due to gravity, g = 10 m/s².
    1. 20 m/s
    2. 18 m/s
    3. 19 m/s
    4. 21 m/s
Correct Option: A

Conservation of energy
Total (KE + PE) = const.
(KE + PE)A = (KE + PE)B

0 + 30 × mg =
1
MV² +
1
Iω² + 0
22

30 × 10 =
1
× 1 × V² +
1
×
1
× 1 × v²
222

I =
mr²
, ω =
V
2I

30 × 10 =
3
= V²
4

V = 20 m/s



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