August
T24/TML041/EE/20150820
2015
Engineering Mechanics - 1
Instructions:
MARKS-80
Time: 3 Hrs
1. All questions are compulsory.
2. “Long Answer type Question (LAQ)” is a supply type
question of 15 marks which required a typical answer of about
60-80 lines in bout 32-40 minutes.
3. “Sort Answer type Question (SAQ)” is a supply type question
of 5 marks which required a typical answer of about 15-20 lines
in bout 08-10 minutes.
4. Figures to the right indicate marks allotted to the questions.
5. Assume suitable data if necessary
6. Use a nonprogrammable type of scientific calculator is
allowed
Marks
SECTION-A
Q.1 A) Explain classification of mechanics.
B) Determine the force that can move a body of mass 1000 kg with
an acceleration of 6.5 m/s2.
10
05
OR
Q.1 A) Out of the two forces, which act at an angle of 1350, find the
smaller force. It is given that the greater force is of 55N and the
resultant of this force system is perpendicular to the smaller force.
10
B) Explain concept of a Rigid body. State & prove law of
Parallelogram of forces.
05
Q.2 A) Two men carry a weight of 2kN by means of two ropes fixed to
the weight. One rope is inclined at an angle of 450 and the other at
an angle of 300 with their vertices. Find the tension in each rope.
10
B) Describe equilibrium in coplanar force system & derive equation
by Lami's theorem if three forces acting at a point are in
equilibrium.
05
OR
Q.2 Describe Couple, Moment of couple & applications of couple.
15
Q.3 A multiple electric coach train has 1000 tone mass. The resistance
to motion is 100 N/tonne of the train mass. If the electric motors
can provide 200 kN tractive force, how long will it take to
accelerate the train to a speed of 90 km/hr from rest?
05
Q.4 Difference between Couple & moment. Also define torque with
formula & unit.
05
SECTION-B
Q.5 A) In a certain simple machine, the effort has to move through a
distance of 3 m to lift a load through 15 mm. If the efficiency of the
machine is 65%, determine the load that can be lifted by an effort of
25N.
B) Calculate the centroid of semi circular plate of radius r.
10
05
OR
Q.5 A circular sector of angle 600 is cut from the cycle of radius r, as
shown in fig; Determine the center of gravity of the remaining fig.
15
FIG-A
Q.6
A) Explain friction in clutches & friction in brakes.
10
B) What happens when the coefficient of kinetic friction
overcomes the coefficient of static friction?
05
OR
Q.6 A) A body of weight 600N is lying on a rough horizontal plane
having a coefficient of friction as 0.6. Find the magnitude of force,
which can move the body, while acting at an angle of 450 with the
horizontal.
10
05
B) A force of 30N is applied to a 8 kg box. If the coefficient of
friction is 0.4, find the acceleration of the box.
Q.7 A frame ABC has a span of 5m & a load of 10 KN is placed at its
apex. Find the forces on the members AB, AC & BC using the
method of joints.
05
FIG-B
Q.8 What is the importance of gravitational axis while determining the
center of gravity?
***BEST OF LUCK***
05