. A force \( F \) is applied on the plank such that the hollow hemispherical shell is in equilib...

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. A force \( F \) is applied on the plank such that the hollow hemispherical shell is in equilibrium as shown in figure. The coefficient of friction \( \mu \) is same between the with respect to
\( \mathrm{P} \) plank hemispherical shell and the plank as its between the

W plank and the ground. Friction is just sufficient to prevent the slipping (Take \( g=10 \mathrm{~m} / \mathrm{s}^{2} \) and \( m=5 \mathrm{~kg} \) ). Then
(1) the minimum magnitude of coefficient of friction \( \mu=1 / 2 \)
(2) the minimum magnitude of coefficient of friction \( \mu=1 / 4 \)
(3) the magnitude of applied force is \( 100 \mathrm{~N} \).
(4) the acceleration of plank is \( 10 \mathrm{~m} / \mathrm{s}^{2} \).
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