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@lovegoyal you are conceptually wrong.when we are walking on ice we take small steps to ensure that the component of the horizontal force remains as low as possible bcoz the frioction present is so low that it cant support our large horizontal force
Ah ! Good question. Try to think. The more the velocity of a person on an ice sheet will be , more will be the relative velocity of ice sheet relative to that person in opposite direction. That's why it was suggested to move slowly on an ice sheet to ensure minimum friction
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actually, we have to pick one of our leg to move one step, just imagine this snapshot!,
one foot is in air and the other on ice-floor, now the center of mass is in-between them,
so a torque can be seen (acting along the center of mass due to hanging foot in the air),
which would be minimum for small steps,
if a sufficient amount of friction force in forward direction is not provided by the floor, we will slip!!!, all this happens momentarily, so, for small & careful steps, we dont fall!!
I am a beginner and may be wrong as i have completed only upto friction but i still think he is right!!!!!!!!!!................................
while taking small steps normal contact force is large which provides larger friction, but in case of large steps normal force decreases due to increase in angle between normal and our foot. so to prevent slipping on the road in rainy dayswe take smal steps.
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try to understand with respect to the angle made by our foot with the ground. if steps will be small, the angle with ground will be more, so less component of normal in horizontal direction, so we require small friction to keep from falling. this is a simple explanaton according to me. if you think it is correct, pls accept th answer and rate it.