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When walking on ice one should take shor...

When walking on ice one should take short steps why ?

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Let R represent the reaction offered by the ground. The vertical component R cos `theta` will balance the weight of the person and the horizontal component R sin `theta` will help the person to walk forward.
Now, normal reaction = R cos `theta`
Friction force = R sin `theta`
Coefficient of friction `mu = (R sin theta)/(R cos theta) = tan theta `
In a long step, `theta ` is more. So tan `theta ` is more. But `mu` has a fixed value. So, there is danger of slipping in a long step
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