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A solid cylinder of mass 2 kg and radius 50 cm rolls up an inclined plane of angle of inclination 30°. The centre of mass of the cylinder has speed of 4 m/s. The distance travelled by the cylinder on the inclined surface will be, [take g = 10 m/s²]

1. 2.4 m
2. 2.2 m
3. 1.6 m
4. 1.2 m

Correct answer: 2.4 m

Solution

The total energy of the rolling cylinder is the sum of its translational and rotational kinetic energy. Using energy conservation, the initial kinetic energy is converted into potential energy at the highest point. Solving for the height and using trigonometry, the distance along the incline is found to be 2.4 m.

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