GATE ME 2003 | GATE ME Year Wise Previous Years Questions

GATE ME 2003

MCQ (Single Correct Answer)

-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 44 English

GATE ME 2003 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 44 English

The linear acceletation of the reel is:

$${{g{r^2}} \over {\left( {{r^2} + {k^2}} \right)}}$$

$${{g{k^2}} \over {\left( {{r^2} + {k^2}} \right)}}$$

$${{grk} \over {\left( {{r^2} + {k^2}} \right)}}$$

$${{mg{r^2}} \over {\left( {{r^2} + {k^2}} \right)}}$$

GATE ME 2003

MCQ (Single Correct Answer)

-0.6

GATE ME 2003 Engineering Mechanics - Engineering Mechanics Static and Dynamics Question 43 English

The tension in thread is

$${{mg{r^2}} \over {\left( {{r^2} + {k^2}} \right)}}$$

$${{mg{k^2}} \over {\left( {{r^2} + {k^2}} \right)}}$$

$${{mgrk} \over {\left( {{r^2} + {k^2}} \right)}}$$

$${{mg} \over {\left( {{r^2} + {k^2}} \right)}}$$

GATE ME 2003

MCQ (Single Correct Answer)

-0.3

A cylindrical body of cross - sectional area A, height $$H$$ and density $${\rho _s},$$ is immersed to a depth $$h$$ in a liquid of density $$\rho ,$$ and tied to the bottom with a string. The tension in the string is GATE ME 2003 Fluid Mechanics - Fluid Statics Question 4 English

GATE ME 2003 Fluid Mechanics - Fluid Statics Question 4 English

$$\rho ghA$$

$$\left( {{\rho _s} - \rho } \right)ghA$$

$$\left( {\rho - {\rho _s}} \right)ghA$$

$$\left( {\rho h - {\rho _s}H} \right)gA$$

GATE ME 2003

MCQ (Single Correct Answer)

-0.6

A water container is kept on a weighing balance. Water from a tap is falling vertically into the container with a volume flow rate of $$'Q'$$; the velocity of the water when it hits the water surface is $$'U'$$. At a particular instant of time the total mass of the container and water is $$'m'.$$ The force registered by the weighing balance at this instant of time is

$$mg + \rho \,QU$$

$$mg + 2\,\rho \,QU$$

$$mg + \,\rho \,Q{U^2}/2$$

$$\rho \,Q{U^2}/2$$

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