Mechanical Engineering
GATE ME format:nat PYQs
Build your understanding with focused practice from past exam papers.
Questions 151–160 of 418. Imported answers require independent review unless marked reviewed.
Question 23
Open questionMENAT1 markNeeds review
An object is moving with a Mach number of 0.6 in an ideal gas environment, which is at a temperature of 350 K. The gas constant is 320 J/kg.K and ratio of specific heats is 1.3. The speed of object is ______ m/s (round off to the nearest integer).
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The figure shows an arrangement of a heavy propeller shaft in a ship. The combined polar mass moment of inertia of the propeller and the shaft is 100 kg.m
. The propeller rotates at
rad/s. The waves acting on the ship hull induces a rolling motion as shown in the figure with an angular velocity of 5 rad/s. The gyroscopic moment generated on the shaft due to the motion described is ______ N.m (round off to the nearest integer). 
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A column with one end fixed and one end free has a critical buckling load of 100 N. For the same column, if the free end is replaced with a pinned end then the critical buckling load will be ______ N (round off to the nearest integer).
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Consider a single degree of freedom system comprising a mass
, supported on a spring and a dashpot as shown in the figure. 
If the amplitude of the free vibration response reduces from 8 mm to 1.5 mm in 3 cycles, the damping ratio of the system is ______ (round off to three decimal places).
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A steel cubic block of side 200 mm is subjected to hydrostatic pressure of 250 N/mm². The elastic modulus is
N/mm² and Poisson ratio is 0.3 for steel. The side of the block is reduced by ______ mm (round off to two decimal places).Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 35
Open questionMENAT2 marksNeeds review
Activities A, B, C and D for the critical path for a project with a PERT network. The means and variances of the activity duration for each activity are given below. All activity durations follow the Gaussian (normal) distribution, and are independent of each other.
Activity | A | B | C | D |
|---|---|---|---|---|
Mean (days) | 6 | 11 | 8 | 15 |
Variance (days ) | 4 | 9 | 4 | 9 |
The probability that the project will be completed within 40 days is ______ (round off to two decimal places).
(Note: Probability is a number between 0 and 1).
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Find the positive real root of
using Newton-Raphson method. If the starting guess (
) is 2, the numerical value of the root after two iterations (
) is ______ (round off to two decimal places).Log in to check the answer
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A true centrifugal casting operation needs to be performed horizontally to make copper tube sections with outer diameter of 250 mm and inner diameter of 230 mm. The value of acceleration due to gravity,
m/s
. If a G-factor (ratio of centrifugal force to weight) of 60 is used for casting the tube, the rotational speed required is ______ rpm (round off to the nearest integer).Log in to check the answer
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Daily production capacity of a bearing manufacturing company is 3000 bearings. The daily demand of the bearing is 1500. The holding cost per year of keeping a bearing in the inventory is ₹ 20. The setup cost for the production of a batch is ₹ 1800. Assuming 300 working days in a year, the economic batch quantity in number of bearings is ____________ (in integer).
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 37
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The resistance spot welding of two 1.55 mm thick metal sheets is performed using welding current of 10000 A for 0.25 s. The contact resistance at the interface of the metal sheets is 0.0001 Ω. The volume of weld nugget formed after welding is 70 mm
. Considering the heat required to melt unit volume of metal is 12 J/mm
, the thermal efficiency of the welding process is ______ % (round off to one decimal place).Log in to check the answer
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