Questions in statics

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The resultant of two forces 3P and 2P is R, if the first force is doubled, the resultant is also doubled. The angle between the forces is
The resultant of two forces $\overrightarrow{P}$and $\overrightarrow{Q}$is of magnitude P. If the force $\overrightarrow{P}$is doubled, $\overrightarrow{Q}$ remaining unaltered, the new resultant will be
If the resultant of two forces 2P and $\sqrt{2}P$ is $\sqrt{10}P$, then the angle between them will be
The maximum resultant of two forces is $P$ and the minimum resultant is $Q$, the two forces are at right angles, the resultant is
Two equal forces act at a point. If the square of the magnitude of their resultant is three times the product of their magnitudes, the angle between the forces is
A force is resolved into components P and Q equally inclined to it. Then
If the square of the resultant of two equal forces is equal to $(2-\sqrt{3})$times their product, then the angle between the forces is
The resultant of two equal forces is equal to either of these forces. The angle between them is
When two equal forces are inclined at an angle $2\alpha $, their resultant is twice as great as when they act at an angle $2\beta $, then
Two forces of 13 N and $3\sqrt{3}$N act on a particle at an angle $\theta $and are equal to a resultant force of 14N, the angle between the forces is

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