# 0-1 (25 pts) An engine with three cylinders in-line have successive cranks at 240°C and pitched at 350 mm apart. The ef...

0-1 (25 pts) An engine with three cylinders in-line have successive cranks at 240°C and pitched at 350 mm apart. The effective reciprocating mass for each cylinder is 12 kg, the crank radius is 100 mm and the connecting rod is 450 mm long. If the engine runs at 955 rpm, a. Show that primary and secondary forces are balanced b. Determine the reactions at the end bearings A and B due to primary couple effects. c. State the angular position of the first crank to the maximum reactions The firing order is: 1,2, 3. 350 mm 350 mm _H 900mm Q-2 (25 pts) A shaft with 0.40 m between bearings (A and D) carries two masses as shown. Mass (B) is located at 0.10m from A and mass C is located at 0.20m from A. The mass B and mass C are located at 90° to one other Determine the dynamic reactions (magnitude and direction w.r.t mass B) at the bearings when the shaft is running at 1910 rpm. mB- 2.0 kg mC 1.5 kgan rB- 10 cm rC 15 cm 0.
Q-3 (25 pts) In the epicyclic gear shown, the wheels B and C are attached to the driven shaft X, and to the gears with annular wheels D and E through pinions F and H. The pinion F is free to revolve on a pin carried on the arm A which is keyed to the driven shaft Y. The pinion H revolves on a pin carried by the annular wheel D. The numbers of teeth on certain wheels and pinions are as follows. Determine input to output speed ratio (x/y) if annular wheel E is fixed. B...32 teeth, D...88 teeth C....28 teeth E....92 teeth Q-4 (25 pts) TWO uniform slender bars OA and AB each of length (L/2), and mass (m') per unit are welded to form the uniform bar OB as shown which is free to rotate about a frictionless hinge at "O" on a frictionless horizontal surface. At the instant shown its angular velocity is (o) rad/sec clockwise and the applied torque (T) is clockwise. For the instant determine: a) The reactions at the hinge b) The internal forces (Shear force V, bending moment M axial force F) at a location "A" L/2 fromthe hinge "O". Q-5 (25 pts) A single degree of freedom system is shown. Given that m-10 kg, C-100N-s/m, k-6250 N/m and the system is subjected to a harmonic force F-1250 Sin (12.5 t). Determine: a) Amplitude of forced response, b) The phase angle c) The force transmitted to the ground Ft)

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