University of Mumbai 2008-1st Sem B.E FE Engineering Mechanics I Old - Question Paper
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CO-5158
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[Total Marks : 100
TCCT
Con. 3391-08.
(OLD COURSE)
(3 Hours)
N.B.: (1) Question No. 1 is compulsory.
(2) Solve any four questions out of remaining six.
(3) Assume suitable data if necessary and state the assumptions.
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1. Solve any" four of the following : /
(a) Resolve 15 kN force at *A into two parallel components at 'B and C\ 5
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(b) State and prove Varignons Theorm.
(c) Calculate Support Reactions for following beam.
(d) Find Force P required to accelerate the block shown in figure below at 2-5 m/s2. Take j.i = 0*3.
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(e) Write a note on types of impact. 5
2. (a) A link mechanism shown in following figure is in equilibrium at 0 = 30 due to 10 the applied force P\ By principle of virtual work find the magnitude of lP\
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(5) A semicircufar hole is punched in a triangular sheet as shown in the figure. Find 10 the moment of inertia of the shaded area about centroidal X-Axis
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A particle falling under gravity travels 25 m in a particular second. Find the distance travelled by it in next 3 seconds. Take g = 9-81 m/s2.
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3. (a) (b)
10
For the following truss determine :
Forces in all members without finding support reactions. Forces in member DG, DE and CE by method of sections.
(i)
(ii)
4. (a) Two identical blocks A and B are connected by a rod and rest against vertical and horizortal planes respectively as shown in figure. If sliding impends when
10
0 = 45 find coefficient of friction assuming it to be same at both wall and floor.
(b) Black 'B' shown in figure moves with the speed of 3 m/s. Determine velocity 10 of link AC and BC and the velocity of point 'C at the instant shown. Take length AC = BC = 0-5 m.
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5. (a) A player throws a ball with an initial velocity of 18 m/s from point A1 as shown in figure. Find maximum height HP at which ball can strike the wall and the corresponding angle a*. Take g = 10 m/s2.
10
(b) A partical moves in a circular path of 9 m radius, calculate after 4 secs later 10 the particles total acceleration and distance travelled if
(i) speed is constant at 3 m/s
(ii) speed is 3 m/s at the instant and is increasing at a rate of 0-7 m/s2.
6. (a) In the figure shown the Block A is moving down at 1 -5 m/s. The pulley is weight- 10 less and frictionless. The spring is originally compressed by 150 mm and has a stiffness of 875 N/m. What will be the speed of Block A after it moves through
1 *25 m. Take \i = 0*2 between Block B and ground.
(b) Determine acceleration of A and B and the tension in the cable due to application 10 of 300 N force as shown in figure. Neglect friction and mass of pulleys.
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7. (a) A ball is thrown against a frictfonless wall. Its velocity before striking the wall 10 is shown in figure knowing e = 0*8. Determine velocity ater impact.
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(b) Determine the reaction at point of contact 1, 2 and 3. Assume smooth surfaces. 10 Wa = 1 kg Wb = 4 kg
Rb = 4 cm.
R = 1 cm
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Attachment: |
| Earning: Approval pending. |
