1
GATE ME 2004
MCQ (Single Correct Answer)
+2
-0.6
A rigid body shown in the fig.(a) has a mass of 10kg. It rotates with a uniform angular velocity $$'\omega '$$ A balancing mass of 20 kg is attached as shown in fig.(b). The percentage increase in mass moment of inertia as a result of this addition is GATE ME 2004 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 57 English
A
25%
B
50%
C
100%
D
200%
2
GATE ME 2004
MCQ (Single Correct Answer)
+2
-0.6
An ejector mechanism consists of a helical compression spring having a spring constant of k = 981 × 103 N/m. It is pre-compressed by 100mm from its free state. If it is used to eject mass of 100kg heald on it, the mass will move up through a distance of GATE ME 2004 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 58 English
A
$$100$$ $$mm$$
B
$$5000$$ $$mm$$
C
$$581$$ $$mm$$
D
$$1000$$ $$mm$$
3
GATE ME 2003
MCQ (Single Correct Answer)
+2
-0.6
A reel of mass $$'‘m'’$$ and radius of gyration $$'‘'k’$$ is rolling down smoothly from rest with one end of the thread wound on it held in the ceiling as depicted in the figure. Consider the thickness of the thread and its mass negligible in comparison with radius $$‘'r'’$$ of the hub and the reel mass $$‘'m'’$$, Symbol $$'‘g’'$$ represents the acceleration due to gravity. GATE ME 2003 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 61 English

The linear acceletation of the reel is:

A
$${{g{r^2}} \over {\left( {{r^2} + {k^2}} \right)}}$$
B
$${{g{k^2}} \over {\left( {{r^2} + {k^2}} \right)}}$$
C
$${{grk} \over {\left( {{r^2} + {k^2}} \right)}}$$
D
$${{mg{r^2}} \over {\left( {{r^2} + {k^2}} \right)}}$$
4
GATE ME 2003
MCQ (Single Correct Answer)
+2
-0.6
A reel of mass $$'‘m'’$$ and radius of gyration $$'‘'k’$$ is rolling down smoothly from rest with one end of the thread wound on it held in the ceiling as depicted in the figure. Consider the thickness of the thread and its mass negligible in comparison with radius $$‘'r'’$$ of the hub and the reel mass $$‘'m'’$$, Symbol $$'‘g’'$$ represents the acceleration due to gravity. GATE ME 2003 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 60 English

The tension in thread is

A
$${{mg{r^2}} \over {\left( {{r^2} + {k^2}} \right)}}$$
B
$${{mg{k^2}} \over {\left( {{r^2} + {k^2}} \right)}}$$
C
$${{mgrk} \over {\left( {{r^2} + {k^2}} \right)}}$$
D
$${{mg} \over {\left( {{r^2} + {k^2}} \right)}}$$
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