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A point mass of 100 kg is dropped onto a massless elastic bar (cross-sectional area = 100 mm2, length = 1 m, Young's modulus = 100 GPa) from a height H of 10 mm as shown (Figure is not to scale). If g = 10 m/s2, the maximum compression of the elastic bar is ______ mm.
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- 151.7 mm
- 15.17 mm
- 1.517 mm
- 11.517 mm
Correct Option: C
m = 100 kg , h = 10 mm, L = 1m
E = 100 GPa, g = 10m/s2 A = 100 mm2
| δ = |  | 1 + √ |  | |||
| AE | wL |
| δ = | [ 1 + √1 + { (2 × 100 × 109 × 100 × 10-6 × 0.01) / 1000 } ] | |
| 100 × 10-6 × 100 × 109 |
δ = 1.517 mm
