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MOMENT OF INERTIA . The velocity of a particle in a rotating object is given byv = r w . This equation is used to derive the kinetic energy of a rotating object: K= 1/2 mv2 = 1/2 m(r )2 = 1/2 mr2 2 . Since the total energy is the sum of the energies of all the particles and as w is the same for all particles, we have: KTotal = 1/2 (mr2) 2 . Comparing the given expression with the kinetic energy in case of linear motion we get mr 2 analogus to mass in th linear motion . It turns out that the value of the summation is the rotational equivalent of mass,
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submitted by srujana (3192 m) on 4 Dec 2007 21:58:44 IST (38 comments 1192 views)
Let us think that the wheel of a car which is pure rolling on the road is of square shape, not circular. It is a bit wierd but lets still think so. We consider the motion of that square from the instant the side AB touches the road-surface fully, to the instant side BC touches the road-surface fully, as shown in the figure. During this time interval, the contact-point B remains fixed on the ground and it is as if the whole wheel rotates about the axis passing through the contact-point during this short segment of the wheel's journey. It is amazing to find that even the c.o.m. is describing a circular path during this time. After this time-interval, th
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submitted by Prakriteesh (153 m) on 3 Mar 2007 14:40:45 IST (1 comments 349 views)
Let us think that the wheel of a car which is pure rolling on the road is of square shape, not circular. It is a bit wierd but lets still think so. We consider the motion of that square from the instant the side AB touches the road-surface fully, to the instant side BC touches the road-surface fully, as shown in the figure. During this time interval, the contact-point B remains fixed on the ground and it is as if the whole wheel rotates about the axis passing through the contact-point during this short segment of the wheel's journey. It is amazing to find that even the c.o.m. is describing a circular path during this time. After this time-interval, th
more ...
submitted by Prakriteesh (153 m) on 3 Mar 2007 14:40:45 IST (1 comments 349 views)
Let us think that the wheel of a car which is pure rolling on the road is of square shape, not circular. It is a bit wierd but lets still think so. We consider the motion of that square from the instant the side AB touches the road-surface fully, to the instant side BC touches the road-surface fully, as shown in the figure. During this time interval, the contact-point B remains fixed on the ground and it is as if the whole wheel rotates about the axis passing through the contact-point during this short segment of the wheel's journey. It is amazing to find that even the c.o.m. is describing a circular path during this time. After this time-interval, th
more ...
submitted by Prakriteesh (153 m) on 3 Mar 2007 14:40:45 IST (1 comments 349 views)
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