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GATE ME 2021 || Theory of Machines Quiz 6 (App update required to attempt this test)

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Question 1

What should be the angle between the two cylinder V line engine such that all the primary and secondary forces as well as couples are perfectly balanced.

Question 2

Masses M1, M2 and 10 kg are attached at the radii of 60cm to the shaft in parallel planes as shown in the figure below. If the shaft is rotating the mass M2 is.

Question 3

In a single-cylinder reciprocating engine, the mass of reciprocating parts is 55 kg and the mass of revolving parts is 30 kg. The speed of the engine is 200 rpm and the stroke length is 300 mm. If 65 % of the reciprocating parts and all the revolving parts are to be balanced then the required balance mass at a radius of 270 mm is ___ kg.

Question 4

Three masses m1, m2 and m3 of magnitude 50 kg, 100 kg and 200 kg are connected to a rotating shaft. The corresponding radiuses of rotation are 0.4 m, 0.2 m and 0.1 m respectively and angle between successive masses are 60 and 150. What is the magnitude of balancing mass if its radius of rotation is 0.3 m?

Question 5

In a single-cylinder reciprocating engine, the mass of reciprocating parts is 55 kg and the speed of the engine is 300 rpm. The length of the crank is 200 mm. If 65% of the reciprocating parts are to be balanced, then the unbalanced force when the crank has turned 30º from the top dead centre is ________ N.

Question 6

Two masses m are attached to opposite sides of a rigid rotating shaft in the vertical plane. Another pair of equal masses m1 is attached to the opposite sides of the shaft in the vertical plane as shown in figure. Consider m = 1 kg, e = 50 mm, e1 = 20 mm, b = 0.2 m, a = 2 m and a1 = 2.5 m, For the system to be dynamically balanced, m1 should be _____kg.
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Apr 15ESE & GATE ME