1
GATE ME 2003
+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.

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
$${{mg} \over {\left( {{r^2} + {k^2}} \right)}}$$
2
GATE ME 1999
+2
-0.6
A shown in Figure, a person A is standing at he centre of a rotating platform facing person B who is riding a bicycle, heading East. The relevant speeds and distances are shown in given figure person, a bicycle, heading East. At the instant under consideration, what is the apparent velocity of B as seen by A?
A
B
C
D
3
GATE ME 1997
+2
-0.6
A mass of 35 kg is suspended from a weightless bar AB which is supported by a cable CB and a pin at A as shown in. The pin reactions at A on the bar AB are
A
$${R_x} = 343.4\,\,N,\,\,{R_y} = 755.4\,\,N$$
B
$${R_x} = 343.4\,\,N,\,\,{R_y} = 0$$
C
$${R_x} = 755.4\,\,N,\,\,{R_y} = 343.4\,\,N$$
D
$${R_x} = 755.4\,\,N,\,\,{R_y} = 0$$
4
GATE ME 1996
+2
-0.6
AB and CD tow uniform and identical bars of mass 10kg each, as shown. The hinges at A and B are frictionless. The assembly is released from rest and motion occurs in the vertical plane. At the instant that the hinge B passes the point B, the angle between the two bars will be
A
60 degrees
B
37.4 degrees
C
30 degrees
D
45 degrees
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