1
GATE CE 2022 Set 2
MCQ (Single Correct Answer)
+1
-0.33

$$\int {\left( {x - {{{x^2}} \over 2} + {{{x^3}} \over 3} - {{{x^4}} \over 4} + ....} \right)dx} $$ is equal to :

A
$$ - {1 \over {1 - {x^2}}} + $$ Constant
B
$$ - {1 \over {1 - x}} + $$ Constant
C
$${1 \over {1 + {x^2}}} + $$ Constant
D
$${1 \over {1 + x}} + $$ Constant
2
GATE CE 2022 Set 2
MCQ (Single Correct Answer)
+2
-0.67

An undamped spring-mass system with mass m and spring stiffness k is shown in the figure. The natural frequency and natural period of this system are $$\omega$$ rad/s and T 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

GATE CE 2022 Set 2 Engineering Mechanics - Work Energy Principle and Impulse Momentum Equation Question 1 English

A
$$\omega$$ rad/s and T s
B
$$\omega$$/2 rad/s and 2T s
C
4 $$\omega$$ rad/s and T/4 s
D
2 $$\omega$$ rad/s and T/2 s
3
GATE CE 2022 Set 2
Numerical
+2
-0

A uniform rod KJ of weight w shown in the figure rests against a frictionless vertical wall at the point K and a rough horizontal surface at point J. It is given that w = 10 kN, a = 4 m and b = 3 m.

GATE CE 2022 Set 2 Engineering Mechanics - Equilibrium of Force Systems Question 3 English

The minimum coefficient of static friction that is required at the point J to hold the rod in equilibrium is __________. (round off to three decimal places)

Your input ____
4
GATE CE 2022 Set 2
MCQ (Single Correct Answer)
+1
-0.33

A 100 mg of HNO3 (strong acid) is added to water, bringing the final volume to 1.0 liter. Consider the atomic weights of H, N, and O, as 1 g/mol. 14 g mol. and 16 g/mol, respectively. The final pH of this water is (Ignore the dissociation of water.)

A
6.5
B
2.8
C
8.5
D
3.8
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