The solid cylinder shown in figure is rolling without slipping between two moving planks $$P1$$ and $$P2$$ moving with velocities $$2V$$ and V respectively. If mass of the cylinder is m, then kinetic energy of the cylinder relative to ground frame is

Question

Infinity Learn · Accepted Answer

Angular velocity of the cylinder ω$$=2V+V2R=3V2R$$∴   Velocity of centre C is given by V→C $$=$$  V→B $$+$$  V→C B∴  Kinetic energy relative to ground $$frame=12$$  $$mVC2$$  $$+$$  $$12$$ IC ω$$2$$  $$=$$  $$12$$ . m  $$V22$$  $$+$$  $$12$$  $$12$$  $$mR2$$.  $$3V2R2=$$ $$1116$$  $$mV2$$

The solid cylinder shown in figure is rolling without slipping between two moving planks P₁ and P₂ moving with velocities 2V and V respectively. If mass of the cylinder is m, then kinetic energy of the cylinder relative to ground frame is

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The solid cylinder shown in figure is rolling without slipping between two moving planks P1 and P2 moving with velocities 2V and V respectively. If mass of the cylinder is m, then kinetic energy of the cylinder relative to ground frame is

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The solid cylinder shown in figure is rolling without slipping between two moving planks P₁ and P₂ moving with velocities 2V and V respectively. If mass of the cylinder is m, then kinetic energy of the cylinder relative to ground frame is