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Question

An equal force of 100 N is applied upon two similar sharp nails at different angles as shown in figure

What will be the ratio of pressures at the tip of the nail in figure(I) and figure(II)?


A

1 : 1

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B

2 : 3

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C

3 : 2

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D

2 : 1

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Solution

The correct option is B

2 : 3


Only normal component of force will be responsible to drive the nail right through the wall. Also, the areas at the tip of the nails are equal as they are similar nails.

Let, A be the area of tip of the nail. P1 and P2 be the pressures in figures (I) and (II) respectively.


Figure (I): the normal component of force F1 is the total applied force F1=F.

Figure (II): the normal component of force F2 is Fcos30 i.e. F2=Fcos30.


P1P2=F1/AF2/A=FFcos30=23


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