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A solid spherical ball $A$ is pulled by a light string on a horizontal surface. The force of friction acting on $A$ is $F_{1}$ . The limiting value of $F_{1}$ is $F_{0}$ . As $P$ is gradually increased -

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for $P < 3 F_{0}$ , the ball does not slip

for $P < F_{0}$ , ball does not move at all

for $F_{0} < P < 2 F_{0}$ , the ball slides on the surface

for $F_{0} < P < 2 F_{0}$ , the ball does not slip

answer is C, D.

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Detailed Solution

$P - F_{1} = ma F_{1} R = \frac{2}{5} mRa — — — — — P = \frac{7}{5} ma ma = \frac{5}{7} P F_{1} = \frac{2 P}{7} = F_{0}$

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