1
GATE ME 2014 Set 3
Numerical
+2
-0
A body of mass (m) 10kg is initially stationary on a 45° inclined plane as shown in figure. The coefficient of dynamic friction between the body and the plane is 0.5. The body slides down the plane and attains a velocity of 20 m/s. The distance travelled (in meter) by the body along the plane is _______
2
GATE ME 2014 Set 3
+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
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 ___________.
4
GATE ME 2014 Set 1
Numerical
+2
-0
A block weighing 200N is in contact with a level plane whose coefficients of static and kinetic friction are 0.4 and 0.2, respectively. The block is acted upon by a horizontal force (in newton) P=10t, where t denotes the time in seconds. The velocity (in m/s) of the block attained after 10 seconds is _______