¢ C7047 ‏وت وت‎ ॥नी

‎‎Reg No.: Name:‏

‎APJ ABDUL KALAM TECHNOLOGICAL UNIVERSITY
FIRST SEMESTER B.TECH DEGREE EXAMINATION, DECEMBER 2017

‎Course Code: BE100
Course Name: ENGINEERING MECHANICS

‎Max. Marks: 100 Duration: 3 Hours
PARTA
Answer all questions, each carries 5 marks.
Marks
1 State and explain Lami’s theorem. (5)
2 A force of 1000N acts on a bracket as shown in Fig 1. Determine the moment of (5)
the force about Q.
1000 N
ച്‌ 30
200 mm
02
+ श्ण +
Fig. 1
3 State and prove parallel axis theorem. (5)
4 Using the principle of virtual work, determine the reactions of a beam AB 085080 (5)
8m. The beam carries a point load of 4kN at a distance of 3m from ۸۰
5 A wheel is rotating about its axis with a constant angular acceleration of 3 rad/s”, (5)

‎If the initial and final angular velocities are 5.25 rad/s and 10,5/86/5, determine
the total angle turned through, during this interval.

‎6 98) A vertical lift of total mass 500kg acquires an upward velocity of 2m/s over 2 (3)
distance of 3m of motion with constant acceleration, starting from rest. Apply
D’Alembert principle to calculate the tension in the cable supporting the lift.

‎0) If the lift, while stopping, moves with a constant deceleration and comes to rest (2)
in 2s, calculate the force transmitted by a man of mass 75kg on the floor of the lift
during that interval.

‎7 Explain longitudinal, transverse and torsional vibrations with sketches. (5)

‎8 A helical spring of negligible mass is found to extend 0.15mm under a mass of (5)
0.5kg. Then a mass of 40kg is attached at its lower end. The spring mass system
is displaced vertically through 100mm and released. Find the stiffness of the
spring, period of oscillation and its natural frequency for the SHM produced.

‎PART B
Answer any 2 questions from each SET
SET 1
Each question carries 10 marks.

‎9 a) Two forces F and 2F act on ೩ particle. If the first force is increased by 12111 and (5)
the second force is doubled, the direction of their resultant remains unchanged.
Find the value of F.

‎b) Five forces 4, V3, 5, V3 and 3kKN respectively act at one of the angular points ofa (5)
regular hexagon towards other five angular points. Find the magnitude and

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