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a.      At what point in an RLC circuit does resonance occur?       [3marks]

b.     The resonant frequency of a series RLC circuit is 2380kHz when the current is 560 PA and the voltage across it is 240mV. If the value of the inductance in the circuit is 60gH, find the resistance and the capacitance.

[6 marks]

c.      A resistor of 150, an inductor of 0.0318H and a 150uF capacitor are connected in series to a 240V sinusoidal supply at 50Hz. Calculate:

i. The impedance of the whole circuit; [6 marks] ii. The circuit current; [3 marks] iii. The voltage across each component; [4 marks] iv. The power factor;   [3 marks]


An Aluminium Alloy roller with diameter 25mm and length 50mm rolls on the inside of a cast iron ring

having an inside radius of 100mm, which is 50mm thick. Find the maximum force ‘F’ that can be used if

the maximum pressure is not exceeding 100 Mpa.


Analyze the beams shown in FIG. 2C, by moment-distribution method. Use exact values of the relative k's, round off distribution factors to 3 decimal places and the rest to 2 decimal places. Stop the iteration if all the values are less than 0.20 of if the number of distributions reaches the 7th, whichever comes first


https://drive.google.com/file/d/133dcwAQASQMl95xoOwPfexpTP8EvDB15/view?usp=drivesdk


Analyze the beams shown in FIG. 2C, by moment-distribution method. Use exact values of the relative k's, round off distribution factors to 3 decimal places and the rest to 2 decimal places. Stop the iteration if all the values are less than 0.20 of if the number of distributions reaches the 7th, whichever comes first


https://drive.google.com/file/d/133dcwAQASQMl95xoOwPfexpTP8EvDB15/view?usp=drivesdk



A body is projected downward at an angle of 20° with respect to the horizontal(+X axis), from the top of a building 170 m high. Its initial speed is 40 m/s. (a) How long will it take before striking the ground?


Two concentric spheres of diameters d1 = 0.8 m and d2 = 1.2 m, have surface temperatures T1 = 450 K and T2 = 300 K 

respectively. If the surface emissivities are 0.5 and 0.05 respectively, determine the net radiation heat exchange between 

the two spheres.



If the intensity of radiation emitted by a surface covered with lamp black (α = 0.96) in the normal direction is 1.85 x 103

W/m2

Sr. Calculate the temperature of the surface if it follows Lambert’s Cosine Law


An air refrigerator works between the pressure limit of 1 bar and 5 bar


A pump has an overall efficiency of 88% and volumetric efficiency of 92% while consuming 8HP. Determine the mechanical efficiency and the horsepower loss due to friction.


3. A 150X 100 X 15 mm mild steel angle is to be welded to a mild steel plate by fillet



weld along the edge of 150mm leg. A tensile load of 200kN acts through the gravity



axis of the angle. Determine weld lengths if the centre of gravity is at distance of



50mm from end B as shown in the figure below. The allowable shear stress in weld



material is 73N/mm2�

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