Deemed University 2011 B.Tech Mechanical Engineering University: Lingayas University Term: V Title of the : Theory of Machines-I - Question Paper
Roll No. ..
Lingayas University
B.Tech. 2nd Year (Term V)
Examination Feb 2011
Theory of Machines-I (ME - 205)
[Time: 3 Hours] [Max. Marks: 100]
Before answering the question, candidate should ensure that they have been supplied the correct and complete question paper. No complaint in this regard, will be entertained after examination.
Note: Attempt five questions in all. All questions carry equal marks. Question no. 1 is compulsory. Select two questions from Section B and two questions from Section C.
Section A
Q-1. Answer the following questions. [10x2=20]
(i) Resolve Force 200N along OX & OY (Fig 1)
(ii) Find the Resultant moment of couple about C (Fig 2)
(iii) Mass moment of inertia of thin disc about Y-Y axis is = (Fig 3)
(a) m r2 (b) mr2 (c) m r2 (d) None of these
(iv) A car is driven 3 km north, 4 km east. What is displacement of the car and distance traveled by it?
(v) A projectile is fired at an angle of 600 from horizontal with a velocity 30 m/s. It lands after 2 seconds later at the same elevation. With what max/min velocity it travels in horizontal direction.
(vi) Wire for transmission line is unrolled from a reel at a rate of 240 m/min. The radius of reel is 1m for the instant considered. What is the angular speed of reel in rad/sec.
(vii) The flywheel (Fig 4) is decelerating at 3 rad/s2 while turning at 12 rad/s clockwise. Determine tangential acceleration of Point P.
(viii) Does the mechanism shown in (Fig 5) obey Grashofs law. Yes or No
(ix) What is mobility of a 4 bar Mechanism with lower pairs.
(a) 4 (b) 1 (c) 2 (d) 3
(x) A 10 kg block rests on a smooth surface. Determine its acceleration (Fig 6)
Section B
Q-2. (a) Derive expression for angular acceleration of a solid cylinder of radius r (m), mass m kg rolling down the inclined surface (θ0) without slippage (Fig 7) [12]
(b) A 5 m ladder moves on a smooth surface with velocity 2.5m/s at B. Determine velocity of Point A at the instant shown in (Fig 8). What is the angular vel. of ladder? [8]
Q-3. A 2 kg pendulum B is released from rest when θ =00.
Determine tension is string BC immediately after it is released and when the pendulum reaches point D. where θ = 900 (Fig 9). [10+10]
Q-4. Derive the expression for movement of a particle (position, velocity & acceleration) expressed in tangential, normal coordinates. [20]
Section C
Q-5. Bar AB rotates at 5 rad/s and accelerates at 2 rad/s2 clockwise. Determine linear acceleration of C at its position in Fig 10. [20]
Q-6. The combined pulleys in Fig 11 use frictions to transmit motion. If block E has a velocity of 0.5 m/s downward, determine: (a) the velocity of D & (b) the angular velocity of pulleys A, B & C. [20]
Q-7. Fig 12 shows blocks of mass 150 kg & 300 kg at the ends of a rope hanging with a pulley. Determine the acceleration of the blocks when released if pulley
(a) has negligible mass [8]
(b) has mass of 200 kg, radius 0.4 m. [12]
Q-8. The dimensions of a four link mechanism are AB = 400 mm BC = 600 mm; CD = 500 mm. AD = 900 mm DAB = 600; A force of 100N is applied at the mid-point of CD @ Angle 1800, find the required input torque on link AB for static equilibrium of the mechanism. (Fig 13) [20]
| Earning: Approval pending. |
