GATE ME topic:engineering-mechanics PYQs & Answers — Page 2

Questions 11–20 of 61. Imported answers require independent review unless marked reviewed.

The options show frames consisting of rigid bars connected by pin joints. Which one of the frames is non-rigid?

Your answerChoose one option.

Diagram for Mechanical Engineering question 17

Diagram for Mechanical Engineering question 17 (figure 2)

Diagram for Mechanical Engineering question 17 (figure 3)

Diagram for Mechanical Engineering question 17 (figure 4)

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The braking system shown in the figure uses a belt to slow down a pulley rotating in the clockwise direction by the application of a force

. The belt wraps around the pulley over an angle

degrees. The coefficient of friction between the belt and the pulley is 0.3. The influence of centrifugal forces on the belt is negligible.

During braking, the ratio of the tensions

in the belt is equal to ________ . (Rounded off to two decimal places)

Take

Diagram for Mechanical Engineering question 34

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A spherical ball weighing 2 kg is dropped from a height of 4.9 m onto an immovable rigid block as shown in the figure. If the collision is perfectly elastic, what is the momentum vector of the ball (in kg m/s) just after impact?

Take the acceleration due to gravity to be

m/s

. Options have been rounded off to one decimal place.

Diagram for Mechanical Engineering question 37

Your answerChoose one option.

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The smallest perimeter that a rectangle with area of 4 square units can have is _____ units.

(Answer in integer)

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A massive uniform rigid circular disc is mounted on a frictionless bearing at the end E of a massive uniform rigid shaft AE which is suspended horizontally in a uniform gravitational field by two identical light inextensible strings AB and CD as shown, where G is the center of mass of the shaft-disc assembly and

is the acceleration due to gravity. The disc is then given a rapid spin

about its axis in the positive x-axis direction as shown, while the shaft remains at rest. The direction of rotation is defined by using the right-hand thumb rule. If the string AB is suddenly cut, assuming negligible energy dissipation, the shaft AE will

Your answerChoose one option.

rotate slowly (compared to

) about the negative z-axis direction

rotate slowly (compared to

) about the positive z-axis direction

rotate slowly (compared to

) about the positive y-axis direction

rotate slowly (compared to

) about the negative y-axis direction

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A square plate is supported in four different ways (configurations (P) to (S) as shown in the figure). A couple moment

is applied on the plate. Assume all the members to be rigid and mass-less, and all joints to be frictionless. All support links of the plate are identical.

Diagram for Mechanical Engineering question 26

The square plate can remain in equilibrium in its initial state for which one or more of the following support configurations?

Your answerSelect all correct options. You can choose more than one.

Configuration (P)

Configuration (Q)

Configuration (R)

Configurations (S)

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A rope with two mass-less platforms at its two ends passes over a fixed pulley as shown in the figure. Discs with narrow slots and having equal weight of 20 N each can be placed on the platforms. The number of discs placed on the left side platform is

and that on the right side platform is

It is found that for

and

, a force

N (refer to part (i) of the figure) is just sufficient to initiate upward motion of the left side platform. If the force

is removed then the minimum value of

(refer to part (ii) of the figure) required to prevent downward motion of the left side platform is ______ (in integer).

Diagram for Mechanical Engineering question 30

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The plane of the figure represents a horizontal plane. A thin rigid rod at rest is pivoted without friction about a fixed vertical axis passing through O. Its mass moment of inertia is equal to 0.1 kg·cm

about O. A point mass of 0.001 kg hits it normally at 200 cm/s at the location shown, and sticks to it immediately after the impact, the angular velocity of the rod is ________ rad/s (in integer).

Diagram for Mechanical Engineering question 31

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A rigid uniform annular disc is pivoted on a knife edge A in a uniform gravitational field as shown, such that it can execute small amplitude simple harmonic motion in the plane of the figure without slip at the pivot point. The inner radius

and outer radius

are such that

, and the acceleration due to gravity is

. If the time period of small amplitude simple harmonic motion is given by

, where

is the ratio of circumference to diameter of a circle, then

________ (round off to 2 decimal places).

Diagram for Mechanical Engineering question 32

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A rigid homogeneous uniform block of mass 1 kg, height

m and width

m is pinned at one corner and placed upright in a uniform gravitational field (

m/s

), supported by a roller in the configuration shown in the figure. A short duration (impulse) force

, producing an impulse

, is applied at a height of

m from the bottom as shown. Assume all joints to be frictionless. The minimum value of

required to topple the block is

Your answerChoose one option.

0.953 Ns

1.403 Ns

0.814 Ns

1.172 Ns

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GATE ME topic:engineering-mechanics PYQs

Question 17

Question 34

Question 37

Question 48

Question 17

Question 26

Question 30

Question 31

Question 32

Question 37