(2p.) Two particles, each with mass m and 4m, are fastened to each other and to a rotation axis by two rods (uniform road's I_(mc)=(1)/(12)MR^(2) ), each with length L and 2L, and masses 2M and 3M around the rotation axis with angular velocity omega . Find the rotational inertia of this system about this axis O.
(2p.) A solid sphere (I)=((2)/(5)MR^(2)) rolling down an inclined plane of inclination angle heta keeps pace with a block sliding down the same plane. Find the coefficient of kinetic friction between block and plane in terms of heta .
(3p.) In an Atwood's machine one block has a mass of 512g and the other a mass of 463g. The pulley, which is mounted in horizontal frictionless bearings, has a radius of 4.90cm. When released from rest, the heavier block is observed to fall 76.5cm in 5.11s. Calculate the rotational inertia of the pulley.
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5.(2p.) Two particles, each with mass m and 4m,are fastened to each other and to a rotation axis by two rods (uniform road's Imc = 1 MR2), each with length L and 2L, and masses 2M and 3M around the rotation axis with angular velocity w.Find the rotational inertia of this system about this axis O.
2L 4m 3M
2M
6. (2p.) A solid sphere (I = MR2) rolling down an inclined plane of inclination angle keeps pace with a block sliding down the same plane. Find the coefficient of kinetic friction between block and plane in terms of 0
7. (3p.) In an Atwood's machine one block has a mass of 512g and the other a mass of 463g The pulley,which is mounted in horizontal frictionless bearings,has a radius of 4.90cm. When released from rest,the heavier block is observed to fall 76.5cm in 5.1 1s. Calculate the rotational inertia of the pulley.