ROTATIONAL KINEMATICS, TORQUE, MECHANICAL QUILIBRIUM
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Rotational Motion

269619 A cubical block of mass \(m\) and side \(L\) rests on a rough horizontal surface with coefficient of friction \(\mu\). A horizontal force \(F\) is applied on the block as shown. If the coefficient of friction is sufficiently high so that the block does not slide before toppling, the minimum force required to topple the block is

1 \(\mathrm{mg} / 4\)
2 infinitesimal
3 \(\mathrm{mg} / 2\)
4 \(m g(1-u)\)
Rotational Motion

269620 The center of an equilateral triangle is \(O\). Three forces \(F_{1}, F_{2}\) and \(F_{3}\) are applied along \(A B, B C\) and \(A C\) respectively. The magnitude of \(F_{3}\) so that the total torque about \(O\) should be zero is

1 \(\left(F_{1}+F_{2}\right)\)
2 \(\left(F_{1}-F_{2}\right)\)
3 \(\frac{F_{1}+F_{2}}{2}\)
4 \(2\left(F_{1}+F_{2}\right)\)
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Rotational Motion

269619 A cubical block of mass \(m\) and side \(L\) rests on a rough horizontal surface with coefficient of friction \(\mu\). A horizontal force \(F\) is applied on the block as shown. If the coefficient of friction is sufficiently high so that the block does not slide before toppling, the minimum force required to topple the block is

1 \(\mathrm{mg} / 4\)
2 infinitesimal
3 \(\mathrm{mg} / 2\)
4 \(m g(1-u)\)
Rotational Motion

269620 The center of an equilateral triangle is \(O\). Three forces \(F_{1}, F_{2}\) and \(F_{3}\) are applied along \(A B, B C\) and \(A C\) respectively. The magnitude of \(F_{3}\) so that the total torque about \(O\) should be zero is

1 \(\left(F_{1}+F_{2}\right)\)
2 \(\left(F_{1}-F_{2}\right)\)
3 \(\frac{F_{1}+F_{2}}{2}\)
4 \(2\left(F_{1}+F_{2}\right)\)
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