Chapter 8. Newton's second law of rotational motion (8-20)

Question

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{"title":"The net torque, or sum of all external torques acting on an object for the axis about which it can rotate","description":"Correct!","type":"correct","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"4,19,56,83\"}]"} {"title":"The angular acceleration produced by the net torque","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"197,47,232,86\"}]"} {"title":"The object’s moment of inertia for the axis about which it can rotate","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"166,36,196,81\"}]"}

Question

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{"title":"The net torque, or sum of all external torques acting on an object for the axis about which it can rotate","description":"Incorrect","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"4,19,56,83\"}]"} {"title":"The angular acceleration produced by the net torque","description":"Correct!","type":"correct","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"197,47,232,86\"}]"} {"title":"The object’s moment of inertia for the axis about which it can rotate","description":"Incorrect","type":"incorrect","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"166,36,196,81\"}]"}

Question

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{"title":"The net torque, or sum of all external torques acting on an object for the axis about which it can rotate","description":"Incorrect","type":"incorrect","color":"#99CCFF","code":"[{\"shape\":\"poly\",\"coords\":\"82,133\"},{\"shape\":\"rect\",\"coords\":\"4,19,56,83\"}]"} {"title":"The angular acceleration produced by the net torque","description":"Wrong","type":"incorrect","color":"#ffcc00","code":"[{\"shape\":\"rect\",\"coords\":\"118,11,119,13\"},{\"shape\":\"rect\",\"coords\":\"197,47,232,86\"}]"} {"title":"The object’s moment of inertia for the axis about which it can rotate","description":"Correct!","type":"correct","color":"#333300","code":"[{\"shape\":\"rect\",\"coords\":\"166,36,196,81\"}]"}

Review

If torque plays the same role for rotational motion as force plays for translational motion, then we should be able to replace \(F_x\) with \(\tau_z\), \(m\) with \(I\), and \(a_x\) with \(\alpha_z\) in Equation 4-4a to get the rotational version of Newton’s second law: