Mechanical Engineering
2020 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE ME 2020 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 31–33 of 65. Imported answers require review unless explicitly marked reviewed.
Question 21
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A balanced rigid disc mounted on a rigid rotor has four identical point masses, each of 10 grams, attached to four points on the 100 mm radius circle shown in the figure.

The rotor is driven by a motor at uniform angular speed of 10 rad/s. If one of the masses gets detached then the magnitude of the resultant unbalance force on the rotor is __________ N (round off to 2 decimal places).
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A sheet metal with a stock hardness of 250 HRC has to be sheared using a punch and a die having a clearance of 1 mm between them. If the stock hardness of the sheet metal increases to 400 HRC, the clearance between the punch and the die should be __________ mm.
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A company is hiring to fill for managerial vacancies. The candidates are five men and three women. If every candidate is equally likely to be chosen then the probability that at least one woman will be selected is __________(round off to 2 decimal places).
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