GATE ME discipline:mechanical-and-production-engineering PYQs & Answers — Page 73

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Questions 721–730 of 1040. Imported answers require independent review unless marked reviewed.

Topic practice 1040 questionsPage 73 of 104

The set of equations

has infinite solutions, if

Your answerChoose one option.

−3

−4

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Given a vector

and

as the unit normal vector to the surface of the hemisphere

, the value of integral

evaluated on the curved surface of the hemisphere

Your answerChoose one option.

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A harmonic function is analytic if it satisfies the Laplace equation. If

is a harmonic function, then its conjugate harmonic function

Your answerChoose one option.

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A differential equation is given as

. The solution of the differential equation in terms of arbitrary constants

and

Your answerChoose one option.

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The variable

takes a value between 0 and 10 with uniform probability distribution. The variable

takes a value between 10 and 20 with uniform probability distribution. The probability of the sum of variables

being greater than 20 is

Your answerChoose one option.

0.25

0.33

0.50

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The derivative of

can be estimated using the approximation

. The percentage error is calculated as

. The percentage error in the derivative of

radian, choosing

radian, is

Your answerChoose one option.

and

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A car having weight

is moving in the direction as shown in the figure. The center of gravity (CG) of the car is located at height

from the ground, midway between the front and rear wheels. The distance between the front and rear wheels is

. The acceleration of the car is

, and acceleration due to gravity is

. The reactions on the front wheels (

) and rear wheels (

) are given by

Diagram for Mechanical Engineering question 29

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A ball of mass 3 kg moving with a velocity of 4 m/s undergoes a perfectly-elastic direct-central impact with a stationary ball of mass

. After the impact is over, the kinetic energy of the 3 kg ball is 6 J. The possible value(s) of

is/are

Your answerChoose one option.

1 kg only

6 kg only

1 kg, 6 kg

1 kg, 9 kg

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In a four bar planar mechanism shown in the figure, AB = 5 cm, AD = 4 cm and DC = 2 cm. In the configuration shown, both AB and DC are perpendicular to AD. The bar AB rotates with an angular velocity of 10 rad/s. The magnitude of angular velocity (in rad/s) of bar DC at this instant is

Diagram for Mechanical Engineering question 30

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Consider two concentric circular cylinders of materials M and N in contact with each other at

, as shown below. The interface at

is frictionless. The composite cylinder system is subjected to internal pressure

. Let

and

denote the radial and tangential displacement and stress components, respectively, in material M. Similarly,

and

denote the radial and tangential displacement and stress components, respectively, in material N. The boundary conditions that need to be satisfied at the frictionless interface between the two cylinders are:

Your answerChoose one option.

and

only

and

only

and

only

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GATE ME discipline:mechanical-and-production-engineering PYQs

Question 26

Question 26

Question 27

Question 27

Question 28

Question 28

Question 29

Question 29

Question 30

Question 30