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1
GATE CE 2024 Set 2
MCQ (Single Correct Answer)
+2
-0.833

A linearly elastic beam of length 2l with flexural rigidity EI has negligible mass. A massless spring with a spring constant k and a rigid block of mass m are attached to the beam as shown in the figure.

GATE CE 2024 Set 2 Strength of Materials Or Solid Mechanics - Centroid and Moment of Inertia Question 3 English

The natural frequency of this system is

A

$$\sqrt{\frac{kl^3 + 6EI}{ml^3}}$$

B

$$\sqrt{\frac{kl^3 + 48EI}{ml^3}}$$

C

$$\sqrt{\frac{6EIk}{(kl^3 + 6EI)m}}$$

D

$$\sqrt{\frac{48EIk}{(kl^3 + 48EI)m}}$$

2
GATE CE 2023 Set 1
MCQ (Single Correct Answer)
+2
-0.66

Consider the horizontal axis passing through the centroid of the steel beam cross-section shown in the figure. What is the shape factor (rounded off to one decimal place) for the cross-section? 

GATE CE 2023 Set 1 Strength of Materials Or Solid Mechanics - Centroid and Moment of Inertia Question 2 English
A
1.5
B
1.7
C
1.3
D
2.0
3
GATE CE 2023 Set 1
Numerical
+2
-0

The cross-section of a girder is shown in the figure (not to scale). The section is symmetric about a vertical axis (Y - Y). The moment of inertia of the section about the horizontal axis (X - X) passing through the centroid is _______ cm4 (round off to nearest integer). 

GATE CE 2023 Set 1 Strength of Materials Or Solid Mechanics - Centroid and Moment of Inertia Question 1 English
Your input ____
4
GATE CE 2011
MCQ (Single Correct Answer)
+2
-0.6
A disc of radius $$'r'$$ has a hole of radius $$'r/2'$$ cut-out as shown. The centroid of the remaining disc (shaded portion) at a radial distance from the center $$''O''$$ is GATE CE 2011 Strength of Materials Or Solid Mechanics - Centroid and Moment of Inertia Question 5 English
A
$${\pi \over 2}$$
B
$${\pi \over 3}$$
C
$${\pi \over 6}$$
D
$${\pi \over 8}$$
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