A 1.6-kg cylinder (radius = 0.12m, length = 0.5m) is releasedfrin rest at the to

Question

A 1.6-kg cylinder (radius = 0.12m, length = 0.5m) is releasedfrin rest at the top of a ramp and allowed to roll with outslipping. The ramp is .89m high and 5.0m long. a) when the cylinder reaches the bottom of the ramp, what isthe total kinetic energy? b) what is the rotational kinetic energy? c) what is the translational kinetic energy? A 1.6-kg cylinder (radius = 0.12m, length = 0.5m) is releasedfrin rest at the top of a ramp and allowed to roll with outslipping. The ramp is .89m high and 5.0m long. a) when the cylinder reaches the bottom of the ramp, what isthe total kinetic energy? b) what is the rotational kinetic energy? c) what is the translational kinetic energy?

Explanation / Answer

mass m = 1.6 kg radius r = 0.12 m length L = 0.5 m ramp height h = 0.89 m ramp length L ' = 5 m velocity of the cyclinder at bottom of the ramp v =[ 2gh ]                                                                          = 4.176 m / s      Total kinetic energy K =( 1/ 2) m v ^ 2 [ 1+ ( 1/ 2) ]                                          = ( 1/ 2) m v ^ 2 + (1/2) ( 1/ 2) m v ^ 2                                           =translational energy + rotational energy                                          = 13.9552 + 6.9776                                          = 20.9328 J

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