1
JEE Main 2019 (Online) 9th January Morning Slot
+4
-1
A block of mass 10 kg is kept on a rough inclined plane as shown in the figure. A force of 3 N is applied on the block. The coefficient of static friction between the plane and the block is 0.6. What should be the minimum value of force P, such that the block does not move downward? (take g = 10 ms$$-$$2)

A
32 N
B
18 N
C
23 N
D
25 N
2
JEE Main 2018 (Offline)
+4
-1
Two masses m1 = 5 kg and m2 = 10 kg, connected by an inextensible string over a frictionless pulley, are moving as shown in the figure. The coefficient of friction of horizontal surface is 0.15. The minimum weight m that should be put on top of m2 to stop the motion is :
A
10.3 kg
B
18.3 kg
C
27.3 kg
D
43.3 kg
3
JEE Main 2018 (Online) 15th April Evening Slot
+4
-1
A body of mass 2 kg slides down with an acceleration of 3 m/s2 on a rough inclined plane having a slope of $${30^o}$$. The external force required to take the same body up the plane with the same acceleration will be : (g = 10 m/s2)
A
14 N
B
20 N
C
6 N
D
4 N
4
JEE Main 2018 (Online) 15th April Morning Slot
+4
-1
A given object takes n times more time to slide down a $${45^ \circ }$$ rough inclined plane as it takes to slide down a perfectly smooth $${45^ \circ }$$ incline. The coefficient of kinetic friction between the object and the incline is :
A
$${1 \over {2 - {n^2}}}$$
B
$$1 - {1 \over {{n^2}}}$$
C
$$\sqrt {1 - {1 \over {{n^2}}}}$$
D
$$\sqrt {{1 \over {1 - {n^2}}}}$$
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