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 ___________.
2
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 _______
3
GATE ME 2014 Set 1
+2
-0.6
A block R of mass 100 kg is placed on a block S of mass 150 kg as shown in the figure. Block R is tied to the wall by a massless and inextensible string PQ. If the coeficient of static friction for all surfaces is 0.4, the minimum force F (in kN) needed to move the block S is
A
0.69
B
0.88
C
0.98
D
1.37
4
GATE ME 2014 Set 1
Numerical
+2
-0
A rigid link PQ of length 2 m rotates about the pinned end Q with a constant angular acceleration of 12 rad/s2 . When the angular velocity of the link is 4 rad/s, the magnitude of the resultant acceleration (in m/s2 ) of the end P is _______