SPPU Mechanical Engineering (Semester 4)
Theory of Machines 1
May 2017
Total marks: --
Total time: --
INSTRUCTIONS
(1) Assume appropriate data and state your reasons
(2) Marks are given to the right of every question
(3) Draw neat diagrams wherever necessary


Solve any one question from Q.1(a,b) &Q.2(a,b)
1(a) What do you understand by inversion of a kinematic chain? Explain with the help of neat sketches any one inversion of a double slider crank chain, giving their practical applications.
6 M
1(b) Find degrees of freedom for the mechanism as shown in the following fig.
!mage
4 M

2(a) With the help of neat schematic diagram derive freqency equation of Bifilar Suspension method.
5 M
2(b) The connecting rod of an engine weighing 12 Kg is 500 mm long. The obliquity ratio is 5 and C.G. of connecting rod is at the distance of 120mm from the crank pin centre. The periodic time of oscillation for the connecting rod when suspended from centre of small end is 1.33 sec. Determine dynamically equivalent two mass systems keeping one mass at small end.
5 M

Solve any one question from Q.3(a,b) &Q.4(a,b)
3(a) Explain construction and working of Tatham Dynamometer with neat sketch.
4 M
3(b) A conical clutch has a cone angle of 30°, if the maximum intensity of pressure between the contact surfaces is limited to 70 KPa and the width of conical surface is not to exceed one third of the mean radius find the dimensions of the contact surfaces to transmit 22KW at 2000 rpm assuming uniform wear theory and take coefficient of frection as 0.15.
6 M

4(a) Derive an Equation for finding velocity and acceleration of slider using analytical method.
5 M
4(b) A universal joint is used to connect two shaft which are inclined at 20° and the speed of the driving shaft is 1000 rpm. Find the extreme angular velocities of the driven shaft and its maximum angular acceleration.
5 M

Solve any one question from Q.5(a,b) &Q.6(a,b)
5(a) Explain with neat sketch Acceleration Image Principle.
3 M
5(b) Fig. Shows a mechanism where in the different dimensions are as follows: Crank O1 A= 160 mm; Vertical distance between O1 and O2 = 400 mm; Horiziontal distance between O1 and O2 = 130 mm; O2 B= 230 mm; AB = 350 mm; O2 BC= 90° BC = 160 mm. Find the velocity and acceleration of C, angular velocity and angular acceleration of link O2 BC for the given configuration. The crank O1 A rotates at 400 r.p.m.
!mage
12 M

6(a) Explain with the help of neat sketch different type of ICR's.
3 M
6(b) A slotted link labled 2 shown in the following fig. rotates in anticlockwise direction at 1200 rpm. Blocks 4 and 5 slides in the slot in link 2. The slotsar at right angles. Block 6 slides in a fixed slot as indicated. A straight rigid rod, labeled 3, is pinned to the blocks at P, Q and R. OP = 165 mm, PR = 600mm. Determine the velocity of Slider R using theorem of three centre in line.
!mage
12 M

Solve any one question from Q.7(a,b) &Q.8(a,b)
7(a) Derive an expression for Magnitude of corioli's component of acceleration.
3 M
7(b) In the mechanism shown in the fig., link AB rotates at rpm uniformly in clockwise direction. The various dimensions are AB = 75 mm and PQ = 375 mm. Find velocity acceleration of Q. Using relative velocity & acceleration method.
!mage
12 M

8(a) In a I C Engine mechanism, the crank is 200 mm long and connecting rod is 800 mm long. Find by using Klein's construction, the velocity and acceleration of piston and angular velocity, angular acceleration of connecting rod when the crank is turned through 60° from inner dead centre. The angular velocity of crank is 20 rad / sec and is increasing at the rate 60 rad sec2.
8 M
8(b) The following data relate to a slider crank mechanism, crank radius = 150mm, connecting rod length = 650 mm, crank shaft speed = 250 rpm. Determine the following at the instant when the slider has Zero Acceleration by using Klein's construction, i) the velocity and accelereation of the midpoint of the connecting rod, ii) the angular velocity and angular acceleration of connecting rod.
7 M



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