Define inertia force and inertia couple. State D′ Alembert principle.
[3 marks]Draw the turning moment diagram for I). Four stroke Cycle Internal Combustion engine. II). Multi-cylinder Engine.
[4 marks]Explain the effect of gyroscopic couple and centrifugal couple on the reaction of the four wheels of a vehicle negotiating a curve.
[7 marks]Define following terms. I). Over damped system II). Logarithmic decrement III). Under damped system
[3 marks]Differentiate between static balancing and dynamic balancing system.
[4 marks]Explain briefly the balancing of several mass in same plane.
[7 marks]In a slider crank mechanism, the length of the crank and connecting rod are 150 mm and 600 mm respectively. The crank position is 60o from the dead center. The crank shaft speed is 450 r.p.m. (clock wise). Using analytical method, determine: I). Velocity and acceleration of the slider. And II). Angular velocity and angular acceleration of the connecting rod.
[7 marks]What do you understand by gyroscopic couple? Derive a formula for its magnitude.
[3 marks]Classify types of vibration.
[4 marks]The turning moment diagram for a multi-cylinder engine has been drawn to a scale 1mm = 600 N-m vertically and 1 mm = 3o horizontally. The intercepted areas between the output torque curve and the mean resistance line, taken in order from one end, are as +52,-124,+92,- 140,+85,-72 and +107 mm2 , when the engine is running at a speed of 600 r.p.m. If the total fluctuation of speed is not to exceed ± 1.5% of the mean, find the necessary mass of the flywheel of the radius 0.5 m.
[7 marks]Write the short note on primary and secondary balancing.
[3 marks]Explain in what way the gyroscopic couple affects the motion of an aircraft while taking a turn.
[4 marks]Discuss the method of Balancing of v- engines and determine the expression for magnitude and direction of resultant primary force.
[7 marks]Define: I). Natural frequency, II). Damping, III). Forced Vibration.
[3 marks]Explain partial balancing of reciprocating engine.
[4 marks]For the system in Fig 1. If K = 2800 N/m, K = 1400 N/m, K = 3800123 N/m, K = K = 700 N/m; find the mass m such that the system will45 have a natural frequency of 15 Hz.1 Fig 1.
[7 marks]Explain the term magnification factor and obtain expression for it.
[3 marks]Define logarithmic decrement and derive an expression for it.
[4 marks]Explain briefly forced vibrations due to rotating unbalance.
[7 marks]Classify the vibration measuring instruments.
[3 marks]Clearly explain the working principle of vibrometer and accelerometer.
[4 marks]Adamped vibration system consisting of 40 kg mass executes oscillations in 5 sec. amplitude of vibration decreases to one-eighth of the initial value after 8 complete oscillations. Determine: Logarithmic decrement, Damping factor, Damping co-efficient and spring stiffness.
[7 marks]Why balancing of rotating and reciprocating masses is necessary? What are effects of unbalancing?
[3 marks]Write 250 words on Torsionally Equivalent Shaft.
[4 marks]Two rotors Aand Bare attached to the ends of a shaft 1.6 m long. The mass of rotor Ais 2500 kg and it radius of gyration is 0.8m. The corresponding values for rotor Bare 500 kg and 0.5 m respectively. The diameter of shaft is 180 mm for first 0.5 m, 220 mm for next 0.4 m and 100 mm for the remaining length, measuring length, measuring from rotor A. Assuming G = 0.8 × 105 MPa. For the shaft material, find position of node and natural frequency of torsional vibration.
[7 marks]