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

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Roll No. Total No. of Pages : 03
Total No. of Questions : 07

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B.Sc.(CS) (2013 & Onwards) (Sem.-4)
FUNDAMENTALS OF STATICS
Subject Code : BCS-402
M.Code : 72318
Time : 3 Hrs. Max. Marks : 60

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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 :
   1. Define Moment of a force about a point.

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   2. Discuss Moment of a couple.
   3. State condition of equilibrium.
   4. State Parallelogram Law of forces.
   5. Forces equal to 3Q, 5Q and 7Q acting at a point are in equilibrium. Find the angle between the forces 3Q and 5Q.
   6. What are laws of friction ?

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   7. Find the height at which a particle can rest inside a hollow sphere of radius 7 if the coefficient of friction is µ.
   8. Define Centre of Gravity.
   9. Define Wrenches.
   10. Define Null Planes.

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SECTION-B

1. 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.
2. 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 5v2 and 2v2 kg wt. Show that they are equivalent to a couple whose moment is equal to 16 metre kg.wt.
3. 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 ?, f respectively to the vertical show that sin? / sinf = b / a(a+2b)
4. State and prove converse of Lami’s theorem.

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5. 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.
6. 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.
7. 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 (Q-P) / (v(4W²-(P+Q)²))
8. 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.
9. 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 v3µ = tana, show that tan ? : tana = 2 : v3.

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10. If two non-intersecting forces P and Q are perpendicular, their distances from the central axis are in the ratio as Q² : P²
11. 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 a² / v(4a² - b²)
12. 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, 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 (l(µW - c tan a)) / c, where µ is the coefficient of friction at the foot.

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