Answers
The answer for above problem is explained below
The answer for problem 1) is option "A"
The answer for problem 2) is option " E ".
By using the law of conservation of energy, we know that, Initial kinetic energy = Final potential energy (1/2) I w^2 = [2 (M) + m] gh implies h = (1/2) I w^2/[2 (m) + m] g implies h = 1/2 times 1.1 times 10^-4 kg m^2 times (151 rad/sec)^2/[2 (0.14 kg) + 0.010 kg] 9.8 m/s^2 implies h = 1.254 kg m^2 rad^2/sec^2/2.842 kg m/s^2 implies h = 0.44 m (or) h = 44 cm \r\n We know that, I = 2 (1/2) MR^2 + m r^2 implies I = M R^2 + m r^2 implies 1.1 times 10^-4 kg m^2 = 0.14 lg times R^2 + 0.01 kg times (0.25 times 10^-2 m)^2 implies 101 times 10^-4 kg m^2 = 0.14 kg R^2 + 6.25 times 10^-8 kg m^2 implies 0.14 kg R^2 = 1.1 times 10^-4 kg m^2 - 6.25 times 10^-8 lg m^2 implies 0.14 kg R^2 = 1.09937 times 10^-4 kg m^2 implies R^2 = 1.09937
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