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ASSIGNMENT 5 The four-cylinder radial engine depicted in the Figure is an excellent engine from the point of view of dynamic balance. Show that the engine can be balanced by means of a single rotating counterweight mounted on the crankshaft, and determine the magnitude and location of such a counterweight. The crank length is r, the connecting rod lengths all equal 1, and the reciprocating masses all equal m. The rotating masses are balanced, and all four cylinders lie in a single transverse plane.

ASSIGNMENT 5 The four-cylinder radial engine depicted in the Figure is an excellent engine from the point of view of dynamic balance. Show that the engine can be balanced by means of a single rotating counterweight mounted on the crankshaft, and determine the magnitude and location of such a counterweight. The crank length is r, the connecting rod lengths all equal 1, and the reciprocating masses all equal m. The rotating masses are balanced, and all four cylinders lie in a single transverse plane.

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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INSTITUTE OF DISTANCE LEARNING HAME NERIMANNVUTOFIEGE ANSHIGINOLOGT TIMAH GHATEA ASSIGNMENT 3 The spacing of the four cylinders A. B. C and D of a vertical in-line engine is 650 mm, 500 mm and 650 mm. The reciprocating masses of the inner cylinders B and C are 50 kg, and their cranks are at 60° to one another; the stroke is 325 nun and the connecting rods are 600 mm long. Find the magnitudes of the reciprocating masses for the outer cylinders A and D and the relative angular positions of all the cranks if all primary forces and couples are to be balanced. What will be the maximum unbalanced secondary force acting on the base when the engine is run at 375 rev/min. INSTITUTE OF DISTANCE LEARNING WAME NEMAHNVIRTO IENGE ANDHCINOLCGT. UMAS. GHANA ASSIGNMENT 4 A three-cylinder compressor is amanged as shown with the three pistons operated from a common crunk. The reciprocating masses are 9 kg for cylinders I and 3, and 6 kg for cylinder 2. The crunk radius is 40 mm; and the rutio of connecting rod to crank is 5 for each cylinder. The speed is 960 rev/min. Find the primary unbalanced force at this speed, and obtain a suitable balance mass at crank radius for vertical primary balance. Find also the unbalanced secondary force. INSTITUTE OF DISTANCE LEARNING WAMI NKRIMARKINVIRHY OF ICINCE AND TICHNOLODY, UMAS GHANA ASSIGNMENT 5 The four-cylinder radial engine depicted in the Figure is an excellent engine from the point of view of dynamic balance. Show that the engine can be balanced by means of a single rotating counterweight mounted on the crankshaft, and determine the magnitude and location of such a counterweight. The crank length is r, the connecting rod lengths all equal 1, and the reciprocating masses all equal m. The rotating masses are balanced, and all four cylinders lie in a single transverse plane. INSTITUTE OF DISTANCE LEARNING WAME NERUMAH UNIVERIY OF CENCE AND TOINOLOY, IMAI CHANA ASSIGNMENT 6 Investigate the state of balance of an eight-cylinder V-engine consisting of two banks of cylinders, each having four cylinders in line and both working upon one four-throw crankshaft. The centre-lines of the two banks are inclined at angles (0/2) on each side of the vertical plane. The relative positions of the four cranks are 0°, 90°, 180° and 270° and two connecting rods work on each crank. State the nature and amount of the total force and couple, (a) when 0 = 90°, (b) when 0= 60° (c) Ø = 45°
Transcribed Image Text:INSTITUTE OF DISTANCE LEARNING HAME NERIMANNVUTOFIEGE ANSHIGINOLOGT TIMAH GHATEA ASSIGNMENT 3 The spacing of the four cylinders A. B. C and D of a vertical in-line engine is 650 mm, 500 mm and 650 mm. The reciprocating masses of the inner cylinders B and C are 50 kg, and their cranks are at 60° to one another; the stroke is 325 nun and the connecting rods are 600 mm long. Find the magnitudes of the reciprocating masses for the outer cylinders A and D and the relative angular positions of all the cranks if all primary forces and couples are to be balanced. What will be the maximum unbalanced secondary force acting on the base when the engine is run at 375 rev/min. INSTITUTE OF DISTANCE LEARNING WAME NEMAHNVIRTO IENGE ANDHCINOLCGT. UMAS. GHANA ASSIGNMENT 4 A three-cylinder compressor is amanged as shown with the three pistons operated from a common crunk. The reciprocating masses are 9 kg for cylinders I and 3, and 6 kg for cylinder 2. The crunk radius is 40 mm; and the rutio of connecting rod to crank is 5 for each cylinder. The speed is 960 rev/min. Find the primary unbalanced force at this speed, and obtain a suitable balance mass at crank radius for vertical primary balance. Find also the unbalanced secondary force. INSTITUTE OF DISTANCE LEARNING WAMI NKRIMARKINVIRHY OF ICINCE AND TICHNOLODY, UMAS GHANA ASSIGNMENT 5 The four-cylinder radial engine depicted in the Figure is an excellent engine from the point of view of dynamic balance. Show that the engine can be balanced by means of a single rotating counterweight mounted on the crankshaft, and determine the magnitude and location of such a counterweight. The crank length is r, the connecting rod lengths all equal 1, and the reciprocating masses all equal m. The rotating masses are balanced, and all four cylinders lie in a single transverse plane. INSTITUTE OF DISTANCE LEARNING WAME NERUMAH UNIVERIY OF CENCE AND TOINOLOY, IMAI CHANA ASSIGNMENT 6 Investigate the state of balance of an eight-cylinder V-engine consisting of two banks of cylinders, each having four cylinders in line and both working upon one four-throw crankshaft. The centre-lines of the two banks are inclined at angles (0/2) on each side of the vertical plane. The relative positions of the four cranks are 0°, 90°, 180° and 270° and two connecting rods work on each crank. State the nature and amount of the total force and couple, (a) when 0 = 90°, (b) when 0= 60° (c) Ø = 45°
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