1
GATE ME 2014 Set 3
Numerical
+2
-0
A four-wheel vehicle of mass 1000kg moves uniformly in a straight line with the wheels revolving at 10 rad/s. The wheel are identical, each with a radius of 0.2 m. Then a constant braking torque is applied to all the wheels and the vehicle experiences a uniform deceleration. For the vehicle to stop in 10s, the braking torque (in N. m) on each wheel is ___________.
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2
GATE ME 2014 Set 3
MCQ (Single Correct Answer)
+2
-0.6
An annular disc has a mass m, inner radius R and outer radius $$2R$$. The disc rolls on a flat surface without slipping. If the velocity of the center of mass is $$v,$$ the kinetic energy of the disc is
A
$${9 \over {16}}m{V^2}$$
B
$${11 \over {16}}m{V^2}$$
C
$${13 \over {16}}m{V^2}$$
D
$${15 \over {16}}m{V^2}$$
3
GATE ME 2014 Set 3
MCQ (Single Correct Answer)
+1
-0.3
A mass m1 of 100kg travelling with a uniform velocity of 5 m/s along a line collides with a stationary mass m2 of 1000kg. After the collision, both the masses travel together with the same velocity. The coefficient of restitution is
A
0.6
B
0.1
C
0.01
D
0
4
GATE ME 2014 Set 3
Numerical
+2
-0
A fluid of dynamic viscosity $$2 \times {10^{ - 5}}\,\,kg/m.s$$ and density $$1kg/{m^3}$$ flows with an average velocity of $$1$$ $$m/s$$ through a long duct of rectangular $$\left( {25\,\,mm \times \,\,15\,\,mm} \right)$$ cross-section. Assuming laminar flow, the pressure drop (in $$Pa$$) in the fully developed region per meter length of the duct is __________________.
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