1.Two forces act
at a point in directions inclined to each other at 120°. If the bigger force is
5 Nand their resultant is at right angles to the smaller force, find the
resultant and the smaller force

2.An aeroplane
takes off at an angle of 45

^{0 }to the horizontal. If the vertical component of its velocity is 300 kmph, calculate its actual velocity. What is the horizontal component of velocity?
3.A force is
inclined at 60o to the horizontal . If the horizontal component of force is 40 N,
calculate the vertical component.

4.A body is
projected upwards with a velocity of 30 m s-1 at an angle of 30° with the
horizontal. Determine (a) the time of flight (b) the range of the body and (c)
the maximum height attained by the body.

5.The horizontal
range of a projectile is 4√3 times its maximum height. Find the angle of
projection. 2.49 A body is projected at such an angle that the horizontal range
is 3 times the greatest height . Find the angle of projection

6.Two forces of
magnitude 12 N and 8 N are acting at a point. If the angle between the two
forces is 60°, determine the magnitude of the resultant force?

7.The sum of two
forces inclined to each other at an angle is 18 kg wt and their resultant which
is perpendicular to the smaller force is 12 kg wt Find the forces and the angle
between them.

8.The following
forces act at a point (i) 20 N inclined at 30o towards North of East (ii) 25 N
towards North (iii) 30 N inclined at 45o towards North of West (iv) 35 N inclined
at 40o towards South of West. Find the magnitude and direction of the resultant
force.

9.Find the
magnitude of the two forces such that it they are at right angles, their
resultant is 10 N. But if they act at 60o, their resultant is 13 N.

10.The
Cartesian coordinates of a point in the

*xy*plane are (*x*,*y*) = (3.50, 2.50) m as shown in Figure 3.3. Find the
polar coordinates of this
point.Write it as the position vector and find the direction of

**r**
11.A car
travels 20.0 km due north and then 35.0 km in a direction 60.0° west of north
as shown in Figure. Find the magnitude and direction of the car’s resultant
displacement.

12Find the
sum of two displacement vectors

**A**and**B**lying in the*xy*plane and given by**A**=(2.0**i**^ + 2.0**j**^) m and**B=**(2.0**i**^- 4.0**j**^) m