A solid cylinder of mass 2 kg and radius 0.1 meter roll down and incline plane of height 3 meter calculate its rotational energy when it reaches the foot of the plane
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Answer:
=26.13 J
Step-by-step explanation:
Mgh = KE of translation + KE of rotation
Mgh= 1/2 Mv² + 1/2 Iω²
Mgh = 1/2 M(ωR)² + 1/2 (1/2 MR²) ω²
Mgh = 3/4 MR²ω²
KE of rotation = K= 1/2 Iω²
= 1/2 (1/2 MR²) 4gh /3R²
K= Mgh/ 3
= 2 x 9.8 x 4/ 3
=26.13 J
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