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Posted By: Atul Vohra Member Level: Diamond Posted Date: 03 Jun 2008
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2007 Anna University B.E Marine engineering MV 405 — MECHANICS OF MACHINES — I Question paper
B.E. DEGREE EXAMINATION. Fourth Semester Marine Engineering MV 405 — MECHANICS OF MACHINES — I Time : Three hours Maximum : 100 marks Answer ALL questions. PART A — (10 ´ 2 = 20 marks) Sketch a spheric pair and planar pair of a mechanism and indicate the degrees of freedom. With an example explain the Kutzbach criterion for the determination of mobility of a plannar mechanism. The path of a moving point is defined by the equation . Find the position difference from point to point if and . State the Freudenstein's theorem. Sketch the following two types of cams (a) a wedge cam (b) a disk cam. Show in displacement, and its derivatives plot of a full-rise simple harmonic motion. State the law of gearing. Show the arc of approach distance and are of recess distance in a pair of meshing gear teeth. Show that the height ( ) of a watt governor , where is the acceleration due to gravity and -angular velocity. What is the effect of Gyroscopic couple during left side steering of a ship. PART B — (5 ´ 16 = 80 marks) For the straight-line mechanism shown in figure 11. rad/s clockwise and rad/s2 clockwise. Determine the velocity and acceleration of point B and the angular acceleration of link 3. Using vector method.
mm Figure 11 (a) Crank 2 of the push-link mechanism shown in Figure 12(a) is driven at rad/s clockwise. Find the velocities of point and and the angular velocities of link 3 and 4. mm mm mm mm
Figure 12(a) Or (b) Explain with neat sketch all possible inversions of a four-bar mechanism. (a) A plate cam with an oscillating roller follower which rises through 30° with cycloidal motion in 150° of counter clockwise cam rotation, then dwells for 30°, returns with cycloidal motion in 120°, and dwells for 60°. The prime-circle radius is 60 mm, the length of the follower is 100 mm, and it is pivoted at 125 mm to the left of the cam rotation axis, the roller radius is 10 mm. Cam rotation is clockwise. Determine the maximum pressure angle. Or (b) A plate cam rotates at 300 rev/min and drives a reciprocating radial roller follower through a full rise of 75 mm in 180° of cam rotation. Find the minimum radius of the prime-circle. If simple harmonic motion is used and the pressure angle is not to exceed 25°. Find the maximum acceleration of the follower. (a) A 10 mm module gear has 17 teeth, a 20° pressure angle, an addendum of 1.0 m, and a addendum of 1.25 m. Find the thickness of the teeth at the base circle and at the addendum circle. What is the pressure angle corresponding to the addendum circle. Or (b) In the Figure 14 (b) shaft A is the output and is connected to the arm. If shaft B is the input and drives gear 2, what is the input and drives gear 2, what is the speed ratio? Identify the Lévai type for this train. .
Figure 14(b) (a) In a spring loaded Hartnell type of governor, the mass of each ball is 4 kg and the lift of the sleeve is 50 mm. The governor begins to float at 240 r.p.m when radius of the ball path is 110 mm. The mean working speed of the governor is 20 times the range of speed when friction is neglected. The lengths of the ball and roller arms of the bell crank lever are 120 mm and 100 mm respectively. The pivot centre and the axis of the governor are 140 mm apart. Determine the initial compression of the spring, taking into account the obliquity of arms. If the friction is equivalent to a force of 20 N at the sleeve. Find the total alteration in speed before the sleeve begins to move from mid-position. Or (b) A four-wheeled trolley car of mass 2500 kg runs on rails, which are 1.5 m apart and travels around a curve of 30 m radius at 24 km/hr. The rails are at the same level. Each wheel of the trolley is 0.75 m in diameter and each of the two axels is driven by a motor running in a direction opposite to that of the wheels at a speed of five times the speed of rotation of the wheels. The moment of inertia of each axle with gear and wheels is 18 kg-m2. Each motor with shaft and gear pinion has a moment of inertia of 12 kg-m2. The centre of gravity of the car is 0.9 m above the rail level. Determine the vertical force exerted by each wheel on the rails taking into consideration the centrifugal and Gyroscopic effects. State the centrifugal and Gyroscopic effects on the trolley. ———————
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