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 1 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 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 3 English
A
$${\pi \over 2}$$
B
$${\pi \over 3}$$
C
$${\pi \over 6}$$
D
$${\pi \over 8}$$
3
GATE CE 2006
MCQ (Single Correct Answer)
+2
-0.6
For the section shown below, second moment of the area about an axis $$d/4$$ distance above the bottom of the area is GATE CE 2006 Strength of Materials Or Solid Mechanics - Centroid and Moment of Inertia Question 4 English
A
$${{b{d^3}} \over {48}}$$
B
$${{b{d^3}} \over {12}}$$
C
$${{7b{d^3}} \over {48}}$$
D
$${{b{d^3}} \over 3}$$
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