Download PTU B.Sc CS-IT 2020 March 4th Sem 72318 Fundamentals Of Statics Question Paper

Download PTU (I.K. Gujral Punjab Technical University Jalandhar (IKGPTU) B-Sc CSE-IT (Bachelor of Science in Computer Science) 2020 March 4th Sem 72318 Fundamentals Of Statics Previous Question Paper

1 | M- 72318 (S3)-568

Roll No. Total No. of Pages : 03
Total No. of Questions : 07
B.Sc.(CS) (2013 & Onwards) (Sem.?4)
FUNDAMENTALS OF STATICS
Subject Code : BCS-402
M.Code : 72318
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B contains SIX questions carrying TEN marks each and students have
to attempt any FOUR questions.

SECTION-A
1. Answer briefly :
a) Define Moment of a force about a point.
b) Discuss Moment of a couple.
c) State condition of equilibrium.
d) State Parallelogram Law of forces.
e) Forces equal to 3Q, 5Q and 7Q acting at a point are in equilibrium. Find the angle
between the forces 3Q and 5Q.
f) What are laws of friction ?
g) Find the height at which a particle can rest inside a hollow sphere of radius r if the
coefficient of friction is
1
3
.
h) Define Centre of Gravity.
i) Define Wrenches.
j) Define Null Planes.
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1 | M- 72318 (S3)-568

Roll No. Total No. of Pages : 03
Total No. of Questions : 07
B.Sc.(CS) (2013 & Onwards) (Sem.?4)
FUNDAMENTALS OF STATICS
Subject Code : BCS-402
M.Code : 72318
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B contains SIX questions carrying TEN marks each and students have
to attempt any FOUR questions.

SECTION-A
1. Answer briefly :
a) Define Moment of a force about a point.
b) Discuss Moment of a couple.
c) State condition of equilibrium.
d) State Parallelogram Law of forces.
e) Forces equal to 3Q, 5Q and 7Q acting at a point are in equilibrium. Find the angle
between the forces 3Q and 5Q.
f) What are laws of friction ?
g) Find the height at which a particle can rest inside a hollow sphere of radius r if the
coefficient of friction is
1
3
.
h) Define Centre of Gravity.
i) Define Wrenches.
j) Define Null Planes.
2 | M- 72318 (S3)-568

SECTION-B
2. a) A force F acts at a point (3, 4) of the XY-plane. The force is directed away from the
origin and inclined at 60? to the X-axis. The horizontal component of F is 5 kg wt.
Determine the force F and find the perpendicular distance of the origin from the line
of action of F.
b) ABCD is a square whose side is 2m. Along AB, BC, CD and DA act forces equal to
1, 2, 8 and 5 kg wt. and along AC and DB act forces equal to 5 2 and 2 2 kg wt.
Show that they are equivalent to a couple whose moment is equal to 16 metre kg.wt.
3. a) Two uniform rods AB, BC of lengths 2a, 2b respectively are rigidly united at B and
are suspended freely from A. If they rest inclined at angles ?, ? respectively to the
vertical show that
2
sin
sin ( 2 )
b
a a b
?
?
? ?

b) State and prove converse of Lami?s theorem.
4. a) Forces P, Q, R act along the sides BC, CA, AB respectively of triangle ABC. If the
resultant passes through the orthocenter, Show that P sec A + Q sec B + R sec C = 0.
b) ABC is a triangle. D, E, F are the middle points of the sides BC, CA and AB
respectively. Show that the forces acting on a particle and represented by AD, BE, CF
will maintain equilibrium.
5. a) A body of weight W can just be sustained on a rough inclined plane by a force P and
just dragged up the plane by a force Q, P and Q both acting up the line of the greatest
slope. Show that the coefficient of friction is
1
2 2
2
[4 ( ) ]
Q P
W P Q
?
? ?
.
b) Particles of weights 3, 4, 5 and 6 kgs. are placed at corners A, B, C and D
respectively of a rectangle ABCD. If AB = 0.6m and BC = 1.2 m. Find the
perpendicular distances of C.G. from AB and BC.
6. a) A heavy uniform rod rests with its extremities on a rough circular hoop fixed in a
vertical plane, the rod subtends an angle of 120? at the centre and in limiting position
of equilibrium is inclined to horizon at angle ?. If 3 ? = tan ? show that
tan ? : tan 2 ? = 2 : 3 .
b) If two non-intersecting forces P and Q are perpendicular, their distances from the
central axis are in the ratio as Q
2
: P
2

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1 | M- 72318 (S3)-568

Roll No. Total No. of Pages : 03
Total No. of Questions : 07
B.Sc.(CS) (2013 & Onwards) (Sem.?4)
FUNDAMENTALS OF STATICS
Subject Code : BCS-402
M.Code : 72318
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks
each.
2. SECTION-B contains SIX questions carrying TEN marks each and students have
to attempt any FOUR questions.

SECTION-A
1. Answer briefly :
a) Define Moment of a force about a point.
b) Discuss Moment of a couple.
c) State condition of equilibrium.
d) State Parallelogram Law of forces.
e) Forces equal to 3Q, 5Q and 7Q acting at a point are in equilibrium. Find the angle
between the forces 3Q and 5Q.
f) What are laws of friction ?
g) Find the height at which a particle can rest inside a hollow sphere of radius r if the
coefficient of friction is
1
3
.
h) Define Centre of Gravity.
i) Define Wrenches.
j) Define Null Planes.
2 | M- 72318 (S3)-568

SECTION-B
2. a) A force F acts at a point (3, 4) of the XY-plane. The force is directed away from the
origin and inclined at 60? to the X-axis. The horizontal component of F is 5 kg wt.
Determine the force F and find the perpendicular distance of the origin from the line
of action of F.
b) ABCD is a square whose side is 2m. Along AB, BC, CD and DA act forces equal to
1, 2, 8 and 5 kg wt. and along AC and DB act forces equal to 5 2 and 2 2 kg wt.
Show that they are equivalent to a couple whose moment is equal to 16 metre kg.wt.
3. a) Two uniform rods AB, BC of lengths 2a, 2b respectively are rigidly united at B and
are suspended freely from A. If they rest inclined at angles ?, ? respectively to the
vertical show that
2
sin
sin ( 2 )
b
a a b
?
?
? ?

b) State and prove converse of Lami?s theorem.
4. a) Forces P, Q, R act along the sides BC, CA, AB respectively of triangle ABC. If the
resultant passes through the orthocenter, Show that P sec A + Q sec B + R sec C = 0.
b) ABC is a triangle. D, E, F are the middle points of the sides BC, CA and AB
respectively. Show that the forces acting on a particle and represented by AD, BE, CF
will maintain equilibrium.
5. a) A body of weight W can just be sustained on a rough inclined plane by a force P and
just dragged up the plane by a force Q, P and Q both acting up the line of the greatest
slope. Show that the coefficient of friction is
1
2 2
2
[4 ( ) ]
Q P
W P Q
?
? ?
.
b) Particles of weights 3, 4, 5 and 6 kgs. are placed at corners A, B, C and D
respectively of a rectangle ABCD. If AB = 0.6m and BC = 1.2 m. Find the
perpendicular distances of C.G. from AB and BC.
6. a) A heavy uniform rod rests with its extremities on a rough circular hoop fixed in a
vertical plane, the rod subtends an angle of 120? at the centre and in limiting position
of equilibrium is inclined to horizon at angle ?. If 3 ? = tan ? show that
tan ? : tan 2 ? = 2 : 3 .
b) If two non-intersecting forces P and Q are perpendicular, their distances from the
central axis are in the ratio as Q
2
: P
2

3 | M- 72318 (S3)-568

7. a) If a piece of wire is bent into the shape of an isosceles triangle whose sides are a, a
and b, show that the distance of the C.G. from the base is
2
2 2
a a b
a b
?
?
.
b) A uniform ladder of length l and weight W, rests with its foot on rough ground and its
upper end against a smooth wall, the inclination to the vertical being ?, A force P is
applied horizontally to the ladder at a point distance c from the foot so as to make the
foot approach wall.
Prove that P must exceed
1
tan
2
lW
l c
? ?
? ? ?
? ?
?
? ?
,
where ? is the coefficient of friction at the foot.









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