۲

NSA192004 Pages:4

inclination of 30° to the plane keeps the same in equilibrium. Assume coefficient of
friction between the rough plane and the load is equal to 0.3.

For the beam with loading shown in Fig.5, determine the reactions at the supports. (7)
150 kN
ಸರ್ವಮ್‌ kN
A 45%
8 1.5 71
im in,

Fig.5

A uniform ladder 4 m long weighs 200 N. It is placed against a wall making an angle (14)
of 60° with the floor. The coefficient of friction between the wall and the ladder is
0.25 and that between the ground and the ladder is 0.35. The ladder in addition to its
own weight, has to support a man of 1000 N at the top at B. Calculate: (i) The
horizontal force P to be applied to the ladder at the ground level to prevent slipping.
(ii) If the force P is not applied, what should be the minimum inclination of the ladder
with the horizontal, so that it does not slip with the man at the top?

Module-IIT
Find the moment of inertia of shaded area about the horizontal and vertical centroidal (14)
axis. All dimensions in cm.

A force ए is directed from a point A(4,1,4) meters towards a point ए (-3,4,1)metres. (14)
Determine the moment of force P about x and y axis if it produces a moment of
1000Nm about z axis.

Module-IV
An object of mass 5 kg is projected with a velocity of 20m/s at an angle of 60° to the (14)
horizontal. At the highest point of its path the projectile explodes and breaks up into
two fragments of masses 116 and 4kg. The fragments separate horizontally after
explosion. The explosion releases internal energy such that KE of the system at the
highest point is doubled. Calculate the separation distance between two fragments
when they reach the ground.

Page 3 of 4