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****Composition and resolution of forces and condition of equilibrium of forces - Basic Level**

**Composition and resolution of forces and condition of equilibrium of forces - Basic Level**

**Dear Readers,**

Statics is the branch of mechanics that is concerned with the analysis of loads acting on physical systems that do not experience an acceleration, but rather, are in static equilibrium with their environment.
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**Q1.**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

Solution

The centre of the force is at the

The centre of the force is at the

**Q2.**If the resultant of two forces 2P and √2P is √10P , then the angle between them will be

Solution

the angle between them will be ℼ/4

the angle between them will be ℼ/4

**Q3.**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

Solution

the angle between the forces is 60

the angle between the forces is 60

**Q4.**A force is resolved into components P and Q equally inclined to it. Then

Solution

A force is resolved into components P and Q equally inclined to it. Then P=Q

A force is resolved into components P and Q equally inclined to it. Then P=Q

**Q5.**If the square of the resultant of two equal forces is equal to (2-√3) times their product, then the angle between the forces is

Solution

then the angle between the forces is 150

then the angle between the forces is 150

**Q6.**The resultant of two equal forces is equal to either of these forces. The angle between them is

Solution

The angle between them is 2ℼ/3

The angle between them is 2ℼ/3

**Q7.**Two forces of 13 N and 3√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

Solution

the angle between the forces is 90

the angle between the forces is 90

**Q8.**Forces of magnitudes 5, 10, 15 and 20 Newton act on a particle in the directions of North, South, East and West respectively. The magnitude of their resultant is

Solution

The magnitude of their resultant is 5√2N

The magnitude of their resultant is 5√2N

**Q9.**Two forces acting in opposite directions on a particle have a resultant of 34 Newton; if they acted at right angles to one another, their resultant would have a magnitude of 50 Newton. The magnitude of the forces are

Solution

The magnitude of the forces are 48,14

The magnitude of the forces are 48,14

**Q10.**The sum of the two forces is 18 and their resultant perpendicular to the lesser of the forces is 12, then the lesser force is

Solution

the lesser force is 5

the lesser force is 5