GATE 2016 ME (ME2) – Question 40
A mass of 2000 kg is currently being lowered at a velocity of 2 m/s from the drum as shown in the figure. The mass moment of inertia of the drum is 150 kg-m2. On applying the brake, the mass is brought to rest in a distance of 0.5 m. The energy absorbed by the brake (in kJ) is __________
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Correct answer: 14.1 to 14.3
Explanation
Drum diameter2m gives radius1m and initial angular speed2rad/s. Initial translational energy is0.5·2000·2²=4000J and drum rotational energy0.5·150·2²=300J. The load loses additional potential energy2000·9.81·0.5=9810J during stopping. Brake absorption totals **14110J=14.11kJ**.