Bengal Engineering and Science University 2006 B.E Electrical Engineering Engineering Mechanics and Graphics-IC - Question Paper
The ques. paper is with the attachment in pdf format.
Bx/BESUS/AM-203/ 06S
B.E. (EE) Part-I 2nd Semester Suppl. Examination, 2006
Engineering Mechanics and Graphics-IC (AM-203)
Time : 3 hours
(For Old Aulation)
Ful, Marks
Use separate answerscript _ for each half. Answer SIX questions, taking THREE from each half.
The questions are of equal value. Two marks are reserved for neatness in each half.
FIRST HALF
1. Weights W and 2 W are supported in vertical plane by
a string and pulleys arranged as shown in Fig.Q.l. Find the magnitude of an additional weight Q applied on the left which will give a downward acceleration
0.1 g to the weight W. Neglect inertia and friction of pulleys.
2. Neglecting friction and inertia of the two-step pulleys
shown in Fig.Q.2, find the acceleration of the weight P. Assume P = 36N, Q=54N and r2 = 2r,.
3. Find the time period for small oscillations of the compound pendulum shown in Fig.3Q. Treat OD and AB as identical slender bars of uniform cross-section.
fp
j-1
At-
D
B
Fig.Q3
4. a) A small car of weight W starts from rest at A and rolls without friction along the loop-the-loop ACBD as shown in Fig.Q.4a. What is the least height '/z' above the top of the loop at which the car can start without falling off the track at point B, and for such a starting position what velocity with the car have along the horizontal portion CD of the track? Neglect friction.
Fig.Q.4a |
b) An automobile of weight W travels with uniform speed v over a vertical curve ACB (Fig.Q.4b) which is parabolic. Determine the total pressure R (in terms of v, / & 8) exerted on the road by the four wheels of the car as it passes the crest 'C\
c
r 1 ~4.1 |
I | |
" 2 |
2 |
Fig.Q.4b
5. At what uniform speed of rotation around the vertical axis AB will the balls C and D of equal weights Wbegin to lift the weight Q of the device shown in Fig.Q.5? The following numerical data are given : W=4.5N, Q = 9.0N,/ = 0.254 m. Neglect all friction and the weights of the four hinged bars of length /. The weight Q can slide freely along the shaft A6.
A
- (3) -SECOND HALF
6. Two spheres each of weight 1000 N and of radius 25 cm rest in a horizontal channel of width 90 cm as shown in Fig.Q.6. Find the reactions on the points of contact
A, B and C.
Fig.Q.6
7. A block of weight W\ = 1000N rests on a horizontal surface and supports on its top another block of weight Wx = 250N as shown in Fig.Q.7. The weight W2 is attached by an inclined string AB to vertical wall. Find magnitude of horizontal force P applied to lower block to cause slipping to impend. Assume coefficient of friction for all surfaces of contact to be 0.3.
Fig.Q.7
8. Determine the coordinates of the centre of a 4 cm diameter circular hole cut in a thin plate so that this point will be the centroid of the remaining shaded area. Refer Fig.Q.8.
Fig.Q.8 |
9. Determine the magnitude and nature of the axial forces in the members of the truss shown in Fig.Q.9.
Fig.Q9 |
10. Find the polar moment of inertia of an isosceles triangle having base, b and altitude, h with respect to its apex.
Attachment: |
Earning: Approval pending. |