1.

A uniform metallic rod PQ of length 2 m is acted upon by two forces A and B along the directionsas shown in the figure. Find the magnitude and position of the resultant normal force that actson the rod.

Answer»

Solution :The forces that act normally to the rod are
` A cos 60^(@) = 90 xx (1)/(2)=45N`
` B cos 60^(@) = 30 xx (1)/(2) = 15 N`.
As the two forces are unlike parallel forces, the resultant of these two forces is outside the rod at a point 'O' and in the direction of greater force, i.e. , A.

Magnitude of R = 45 - 15 = 30 N
POSITION of R: Let 'R' is at 'O' andata distance of X m from'P'. Then
` 45 xxx=15xx(2+x)`
`3x=2+x`
`2x=2`
` x = 1 m `


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