1
GATE ME 2016 Set 2
+1
-0.3
A single degree of freedom mass-spring - viscous damper system with mass $$m,$$ spring constant $$k$$ and viscous damping coefficient $$q$$ is critically damped. The correct relation among $$m, k$$ and $$q$$ is
A
$$q = \sqrt {2km}$$
B
$$q = 2\sqrt {km}$$
C
$$\,q = \sqrt {{{2k} \over m}}$$
D
$$q = 2\sqrt {{k \over m}}$$
2
GATE ME 2015 Set 3
+1
-0.3
In the figure, link $$2$$ rotates with constant angular velocity $${{\omega _2}}$$. A slider link $$3$$ moves outwards with a constant relative velocity $${V_{Q/P,}}$$ where $$Q$$ is a point on slider $$3$$ and $$p$$ is a point on link $$2.$$ The magnitude and direction of Coriolis component of acceleration is given by
A
$${2{\omega _2}}$$ $${V_{Q/P;}}$$ direction of $${V_{Q/P}}$$ rotated by $${90^ \circ }$$ in the direction of $${{\omega _2}}.$$
B
$${{\omega _2}}$$ $${V_{Q/P}};$$ direction of $${V_{Q/P}}$$ rotated by $${90^ \circ }$$ in the direction of $${{\omega _2}}.$$
C
$${2{\omega _2}}$$ $${V_{Q/P}};$$ direction of $${V_{Q/P}}$$ rotated by $${90^ \circ }$$ Opposite to the direction of $${{\omega _2}}.$$
D
$${{\omega _2}}$$ $${V_{Q/P}};$$ direction of $${V_{Q/P}}$$ rotated by $${90^ \circ }$$ Opposite to the direction of $${{\omega _2}}.$$
3
GATE ME 2015 Set 2
+1
-0.3
The number of degrees of freedom of the planetary gear train shown in the figure is
A
0
B
1
C
2
D
3
4
GATE ME 2015 Set 1
Numerical
+1
-0
A wheel of radius r rolls without slipping on a horizontal surface shown below. If the velocity of point P is 10m/s in the horizontal direction, the magnitude of velocity of point Q (in m/s) is ______