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A solid cylinder of mass 50 kg and radius 0.5 m is free to rotate about the horizontal axis. A massless string is wound round the cylinder with one end attached to it and other hanging freely. Tension in the string
required to produce an angular acceleration of 2 revolutions s–2 is:
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- 25 N
- 50 N
- 78.5 N
- 157 N
Correct Option: D
Here α = 2 revolutions/s² = 4π rad/s² (given)
| Icylinder = | MR² = | (50)(0.5)² = | kg-m² | |||
| 2 | 2 | 4 |
As τ = Iα so TR = Iα
| ⇒ T = | = | N = 50 πN = 157 N | ||
| R | 0.5 |
