Previous Year GATE MCQ’s on Statics 2008-2012

Solved Previous Years GATE Questions on Statics

Question 1. Consider a truss PQR loaded at P with a force F as shown in the figure. The tension in the member QR is


(A) 0.5 F

(B) 0.63 F

(C) 0.73 F

(D) 0.87 F

GATE-ME-2008

Hint. 1. (Ans. B)




From these equations



Solving these equations, we get 

Question 2. A block weighing 981 N is resting on a horizontal surface. The coefficient of friction between the block and the horizontal surface is =0.2. A vertical cable attached to the block provides partial support as shown. A man can pull horizontally with a force of 100 N. What will be the tension, T (in N) in the cable if the man is just able to move the block to the right?


(A) 176.2

(B) 196.0

(C) 481.0

(D) 981.0

GATE-ME-2009

Hint 2. (Ans. C)            


Net normal force on block 


Frictional force, 

Under equilibrium, i.e. when man is just able to move the block






Question 3. Mobility of a statically indeterminate structure is

(A) 

(B) 0

(C) 1

(D) 

GATE-ME-2010

Hint 3. (Ans.A)

With one additional constraint mobility of an indeterminate structure is -1 and its mobility decreases with increasing number of additional constraint. Hence, Mobility of indeterminate structure .

Question 4. A 1 kg block is resting on a surface with coefficient of friction =0.1. A force of 0.8 N is applied to the block as shown in the figure. The friction force is


(A) 0

(B) 0.8 N

(C) 0.98 N

(D) 1.2 N

GATE-ME-2011

Hint 4. (Ans.B)



As theoretical frictional force is more than applied force P,

Hence, F=P=0.8 N


 

Common data for Q 5 and Q 6:

Two steel truss member, AC and DC, each having cross sectional area of 100 mm2, are subject to a horizontal force F as shown in figure. All the joints are hinged.


GATE-ME-2012

Question 5.The maximum force F in kN that can be applied at C such that axial stress in any of the truss members DOES NOT exceed MPa is

(A) 8.17

(B) 11.17

(C) 14.14

(D) 22.30

Hint 5. (Ans. B)


 

Question 6. If F=1 kN, magnitude magnitude of the vertical reaction force developed at the point B in kN is

(A) 0.63

(B) 0.32

(C) 12.6

(D) 1.46

Hint 6. (Ans A)






For F=1kN





1. (B), 2. (C), 3. (A), 4. (B), 5. (B), 6. (A)

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