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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.
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- 20 m/s
- 18 m/s
- 19 m/s
- 21 m/s
Correct Option: A
Conservation of energy
Total (KE + PE) = const.
(KE + PE)A = (KE + PE)B
0 + 30 × mg = | MV² + | Iω² + 0 | ||
2 | 2 |
30 × 10 = | × 1 × V² + | × | × 1 × v² | |||
2 | 2 | 2 |
I = | , ω = | ||
2 | I |
30 × 10 = | = V² | |
4 |
V = 20 m/s