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2003 Course Dynamics of Machinery

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Total No. of Questions : 12] P1310 [Total No. of Pages : 7 [3764]-132 B.E. (Mech. and Mech./SW) DYNAMICS OF MACHINERY (402042) (2003 Course) Time : 3 Hours] [Max. Marks :100 Instructions to candidates : 1) Answer 3 questions from Section I and 3 questions from Section II. 2) Answers to the two sections should be written in separate books. 3) Neat diagrams must be drawn wherever necessary. 4) Figures to the right indicate full marks. 5) Use of logarithmic tables, slide rule, Mollier charts, electronic pocket calculator and steam tables is allowed. 6) Assume suitable data, if necessary. SECTION - I Unit - 1 Q1) a) b) A four wheeled trolley car has a total mass of 3000 kg. Each axle with its two wheels and gears has a total moment of inertia of 32 kg.m2. Each wheel is of 450 mm radius. The center distance between two wheels on a axle is 1.4 m. Each axle is driven by a motor with a speed ratio of 1:3. Each motor along with its gear has a moment of inertia of 16 kg m2 and rotating in the opposite direction to that of the axle. The centre of mass of the car is 1 m above the rails. Calculate the limiting speed of the car when it has to travel around a curve of 240 m radius without the wheels leaving the rails. [12] Explain the effect of gyroscopic couple on swinging table fan. [4] OR Q2) a) A uniform disc of diameter 125 mm and mass of 12 kg is mounted on one end on a frame such that the disc rotates at uniform speed of 15000 rpm with its axis horizontal. The other end of horizontal frame is pivoted to a vertical spindle which is free to turn in bearings. The frame is free to swing in vertical plane. The C.G. of the disc is at 450 mm from the pivot and C.G. of the frame of mass 5 kg is at a distance of 375 mm from the pivot. Find the velocity with which the system will precess about the spindle. Sketch the arrangement. [10] b) What do you understand by gyroscopic couple? Derive a relation for its magnitude. [6] P.T.O.

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