1. A thin rod is bend into a shape OABCD as shown in Fig.

determine the centroid of the

bent rod with respect to origin O.

2. Find the magnitude of Resultant and its location of the following force system acting at point O
as shown in fig.1.b

°°
Fig.1b
3. A five coplanar forces are acting on a triangular plate ABC as shown in fig. Determine the
resultant. Locate the point of intersection of resultant with horizontal line AB

Fig.2.c

4. Find the moment of inertia of the section as shown in fig. about the centroidal axis X-X
perpendicular to the web.

5. Three hikers are shown in fig. crossing a footbridge. Knowing that the weights of hikers at
points C, D and E are 200N,175N and 135Nrespectively determine the horizontal distance from
A to the line of action of the resultant of the three weights when a=3.3m

6. The resultant of two forces is vertical . and Ѳ =25° then, Determine the magnitude force P and
1
 resultant R.

7. Three cables are joined at junction “C” as shown in fig. Determine tension in cable AC
and BC.

8. Determine the support reaction of the beam loaded and supported as shown in Fig.

9. Explain Hinge ,roller and fixed support with maximum number of reactions exerted on it with
suitable sketch
10. Determine the support reaction for the beam AB as shown in fig

11.
A sphere weighing 1000 N is placed in the wrench as shown in fig .find reactions at
point of contact.

12. State the equations of equilibrium for concurrent, parallel and general force system.

2
13. Determine the force in all member of the truss loaded with 1000 N force at A,B,C with supports
as shown in fig.

14. A cable is passing over the disk of belt friction apparatus as a lap angle 180° as shown in the
fig.If the weight of block is 500N, Determine the range of force P to maintain equilibrium
Take 𝜇 𝑠 =0.3

15. Define two force, multi force and zero force members

16. Determine the magnitude and nature of forces in the members DE, CE and BC of the
truss loaded and supported as shown in fig

17. A 100 N ladder AB of length 6 m rest against a vertical wall and horizontal floor as shown in fig
4.c .Determine the slope of ladder with vertical to maintain equilibrium if the coefficient of
static friction at all contact surface is µs =0.25.

3
18. Define perfect ,Imperfect and redundant truss with neat sketch

19. A car comes to complete stop from an initial speed of 50 m/s in a distance of 100 m. With the same
constant acceleration, what would be the stoppingdistance s from an initial speed of 70 m/s.
20. A projectile fired from the edge of a 150 m high cliff with an initial velocity of 180 m/s at an
angle of elevation of 30° with the horizontal.
Neglecting air resistance find : [6]
1. The greatest elevation above the ground reached by the projectile;
2. Horizontal distance from the gun to the point, where the projectilestrikes the ground

21. The acceleration of a particle as it moves along a straight line is given by

a = (2t – 1) m/s2, where t is in seconds. If s = 1 m and v = 2 m/s when t = 0, determine the
particle velocity and position when t = 6 s.
22. A projectile is fired with initial velocity 240 m/s at a target ‘B’ located 600m above the gun and
horizontal distance of 3.6Km. Neglecting air resistance, determine the firing angle. .

23. A stone is dropped from the top of a tower 50 m high, At the same time another stone is thrown
up from the foot of the tower with a velocity of 25 m/s. At what distance from the top & after
how much time the two stones cross each other?
24. An outdoor track is 126 m in diameter. A runner increases her speed at a constant rate from 4.2
m/s to 7.2 m/s over a distance of 28.5 m. Determine the total acceleration of the runner 2s after
she begins to increases her speed.

25. The conveyor belt is designed to transport packages of various weights.Each 10 kg package has a
coefficient of kinetic friction μK = 0.15. If thespeed of the conveyor is 5 m/s and then it suddenly
stop, determine thedistance the package will slide on the belt before coming to rest. ReferFig.

26. The bottle rests at a distance of 1 m from the centre of the horizontal platform as shown in Fig.. If
the coefficient of static friction between the bottle and the platform is μs = 0.3 determine the
maximum speed that the bottle can attain before slipping.

27. A ball is dropped from a height h0 = 2 m on a smooth floor. Knowing that the height of the first
bounce is h1 = 1.2 m, determine (i) coefficient of restitution, and (ii) expected height h2 after the
second bounce.
28. OR
29. A 50kg crate shown in fig. 11 rest on a horizontal plane for which the coefficient of kinetic

4
 friction is 0.3. if the crate dose not tip over when it is subjected to a 400N towing forces as
shown, determine the velocity of the crate in 5 sec starting from rest.

30. A 30 kg block is dropped from a height of 2 m onto the 10 kg pan of a spring scale as shown in
Assuming the impact to be perfectlyplastic, determine the maximum deflection of the pan. The
constantof the spring is k = 20 kN/m

31. The velocities of two identical steel blocks of mass 0.6 kg before impactare vA = 4m/s rightward and
vB = 2 m/s leftward. After impact the velocityof block B is observed to be 2.5 m/s to the right,
determine the coefficientof restitution between the blocks.