Questions in statics

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A particle is acted upon by three forces P, Q and R. It cannot be in equilibrium, if $P:Q:R$=
Forces of 7 N, 5N and 3N acting on a particle are in equilibrium, the angle between the pair of forces 5 and 3 is
With two forces acting at a point, the maximum effect is obtained when their resultant is 4N. If they act at right angles, then their resultant is 3N. Then the forces are
The resultant of two forces P and Q is equal to $\sqrt{3}Q$ and makes an angle of ${{30}^{o}}$with the direction of P, then $\frac{P}{Q}=$
Two men carry a weight of 240 Newton between them by means of two ropes fixed to the weight. One rope is inclined at ${{60}^{o}}$to the vertical and the other at ${{30}^{o}}$. The tensions in the ropes are
Three forces keep a particle in equilibrium. One acts towards west, another acts towards north-east and the third towards south. If the first be 5N, then other two are
A particle is attracted to three points A, B and C by forces equal to $\overrightarrow{PA},\overrightarrow{PB}$ and $\overrightarrow{PC}$ respectively such that their resultant is $\lambda \overrightarrow{PG},$where G is the centroid of $\Delta ABC$. Then $\lambda =$
Three forces of magnitudes 8 N, 5N and 4N acting at a point are in equilibrium, then the angle between the two smaller forces is
The resultant of forces P and Q acting at a point including a certain angle $\alpha $is R, that of the forces $2P$and Q acting at the same angle is $2R$and that of $P$and $2Q$acting at the supplementary angle is $2R$. Then $P:Q:R=$
The resultant of two forces acting on a particle is at right angles to one of them and its magnitude is one third of the magnitude of the other. The ratio of the larger force to the smaller is

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