A thread is wound on a reel located on a horizontal surface, which is pulled with a force F. The radius of the cylinder on which the thread is wound is r, the radius of the rim of the reel is R, the mass of the reel is m. sliding friction coefficient between the coil and the floor is m. With what minimum force Fmin must the thread be pulled so that the reel rotates but does not roll? Calculate Fmin with the following numerical values of the parameters: a) m - 0.85, r=4 cm, R=7 cm, m=2 kg; b) m=0.5. r=7.5 cm, R=10 cm. m=2 kg; c) m=0.85, r=8.5 cm, R=10 cm, m=2 kg; d) m=0.7. r=9.5 cm, R=10.5 cm. m=2 kg.
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