question_answer

                                 There is a stick half of which is wooden is and half is of steel. It is pivoted at the wooden end and a force is applied at the steel end at right angles to its length. Next, it is pivoted at the steel end and the same force is applied at the wooden end. In which case is the angular acceleration more and why?

Answer:

                The distribution of mass is farther from the axis of rotation in the first case than in the second case. So the moment of inertia is more in first case than in second case, but the applied torque \[\tau \] is same in both cases. As\[\tau =I\alpha \] or \[\alpha =\tau /I,\], so the angular acceleration \[\alpha \] is less in first case than in second case.