10. A mass m = 2 kg hangs on a massless string from a compound wheel as shown. The wheel is composed of a solid disk of mass $m_1$ = 1.5 kg and radius $r_1$ = 10 cm that is glued to a larger disk of mass $m_2$ = 3 kg and radius $r_2$ = 20 cm. The string is wrapped around the inner disk and does not slip. What is the angular acceleration of the wheel? a) 22.4 rad/s$^2$ d) 4.87 rad/s$^2$ b) 12.1 rad/s$^2$ e) 29.1 rad/s$^2$ c) 7.33 rad/s$^2$
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The moment of inertia of a solid disk is given by the formula: I = (1/2) * m * r^2 For the inner disk, with mass m = 1.5 kg and radius r = 10 cm, the moment of inertia is: I_inner = (1/2) * 1.5 kg * (0.1 m)^2 = 0.0075 kg*m^2 For the larger disk, with mass m = Show more…
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