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GATE 2020 : Theory of Machines Rapid Quiz 2 (App update required to attempt this test)

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Question 1

For the crank-slotted lever mechanism as shown in the figure, the ratio of maximum velocity of cutting to the maximum velocity of return will be _________.

Question 2

There is a vertical engine, having piston at the top and crank at the bottom, running at 2400 rpm. The length of crank and connectivity rod is 50 mm and 300 mm respectively. The diameter of the pistons is 100 mm and the mass of the reciprocating parts is 1.5 kg. The crank has turned 30 from the top dead centre during the expansion stoke and the gas pressure is 600 kN/m2. The net force on the piston is __________ N.

Question 3

A steam engine develops 30kW at 120 rpm. The coefficient of fluctuation of energy as found from the turning moment diagram is to be 0.1 and the fluctuation of speed is to be kept within 1% of mean speed. The mass of flywheel, if radius of gyration is 1 m, will be

Question 4

A slider is moving with a velocity of 2 m/s in a link which is rotaing with an angular velocity of10 rad/s and angular acceleration of 2 rad/s2 in the same direction. If the position of the slider is 1 m away from the fixed end of the link. Find the acceleration of the slider at that instance in m/s2 .

Question 5

For a gear-pinion system having gear ratio of 5, the pinion diameter is 100 mm. If the maximum path of contact avoiding interference is 117.2 mm, then the pressure angle will be

Question 6

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?
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