GATE CE topic:engineering-mechanics PYQs & Answers

Questions 1–10 of 17. Imported answers require independent review unless marked reviewed.

Two identical blocks A and B are connected by a rigid rod. The blocks rest against vertical and horizontal planes, as shown in the figure. The coefficient of static friction at the vertical and horizontal planes is the same. If the sliding impends when

, the value of the coefficient of static friction is _____ (rounded off to two decimal places).

Diagram for Civil Engineering question 50

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A 3 m long, horizontal, rigid, uniform beam PQ has negligible mass. The beam is subjected to a 3 kN concentrated vertical downward force at 1 m from P, as shown in the figure. The beam is resting on vertical linear spring at the ends P and Q. For the spring at the end P, the spring constant

kN/m.

Diagram for Civil Engineering question 16

If the beam DOES NOT rotate under the application of the force and displaces only vertically, the value of the spring constant

(in kN/m) for the spring at the end Q is

Your answerChoose one option.

150

100

200

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Three vectors

, and

are given as

Which of the following is/are CORRECT?

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

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A beam is subjected to a system of coplanar forces as shown in the figure. The magnitude of vertical reaction at Support P is ____________ N (round off to one decimal place).

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An undamped spring-mass system with mass

and spring stiffness

is shown in the figure. The natural frequency and natural period of this system are

rad/s and

s, respectively. If the stiffness of the spring is doubled and the mass is halved, then the natural frequency and the natural period of the modified system, respectively, are

Diagram for Civil Engineering question 37

Your answerChoose one option.

rad/s and

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A horizontal force of

kN is applied to a homogeneous body of weight 25 kN, as shown in the figure. The coefficient of friction between the body and the floor is 0.3. Which of the following statement(s) are correct?

Diagram for Civil Engineering question 46

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

The motion of the body will occur by overturning.

Sliding of the body never occurs.

No motion occurs for

kN.

The motion of the body will occur by sliding only.

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A uniform rod

of weight

shown in the figure rests against a frictionless vertical wall at the point

and a rough horizontal surface at point

. It is given that

and

Diagram for Civil Engineering question 52

The minimum coefficient of static friction that is required at the point

to hold the rod in equilibrium is __________. (round off to three decimal places)

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A single story building model is shown in the figure. The rigid bar of mass ‘m’ is supported by three mass elastic columns whose ends are fixed against rotation. For each of the columns, the applied lateral force (P) and corresponding moment (M) are also shown in the figure. The lateral deflection (δ) of the bar is given by

, where L is the effective length of the column, E is the Young’s modulus of elasticity and I is the area moment of inertia of the column cross-section with respect to its neutral axis.

For the lateral deflection profile of the columns as shown in the figure, the natural frequency of the system for horizontal oscillation is

Diagram for Civil Engineering question 7

Your answerChoose one option.

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A wedge M and a block N are subjected to forces P and Q as shown in the figure. If force P is sufficiently large, then the block N can be raised. The weights of the wedge and the block are negligible compared to the forces P and Q. The coefficient of friction (

) along the inclined surface between the wedge and the block is 0.2. All other surfaces are frictionless. The wedge angle is 30°.

Diagram for Civil Engineering question 29

The limiting force P, in terms of Q, required for impending motion of block N to just move it in the upward direction is given as

. The value of the coefficient ‘

’ (round off to one decimal place) is

Your answerChoose one option.

0.6

0.5

2.0

0.9

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A prismatic fixed-fixed beam, modelled with a total lumped-mass of 10 kg as a single degree of freedom (SDOF) system is shown in the figure. If the flexural stiffness of the beam is

kN/m, its natural frequency of vibration (in Hz, in integer) in the flexural mode will be

Diagram for Civil Engineering question 38

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GATE CE topic:engineering-mechanics PYQs

How to practice topic:engineering-mechanics

Question 50

Question 16

Question 44

Question 53

Question 37

Question 46

Question 52

Question 7

Question 29

Question 38