Find the torque of a force acting at the point .
A stone is attached to one end of a string and rotated in a vertical circle. If string breaks at the position of maximum tension, it will break at
A
B
C
D
A particle starting from the origin (0, 0) moves in a straight line in the (x, y) plane. Its coordinates at a later time are (√3, 3). The path of the particle makes with the x-axis an angle of
30°
45°
60°
0°
and are two vectors and θ is the angle between them, if | × | = √3 ( . ) the value of θ is
90°
P is the point of contact of a wheel and the ground. The radius of wheel is 1 m. The wheel rolls on the ground without slipping. The displacement of point P when wheel completes half rotation is
2 m
π m
Two bodies of same mass are projected with the same velocity at an angle 30° and 60° respectively. The ratio of their horizontal ranges will be
1 : 1
1 : 2
1 : 3
1 : √2
If , then the value of is
(A2 + A2 + AB)1/2
A + B
(A2 + B2 + √3 AB)1/2
Two particles A and B are connected by a rigid rod AB. The rod slides along perpendicular rails as shown here. The velocity of A to the right is 10 m/s. What is the velocity of B when angle α = 60°?
9.8 m/s
10 m/s
5.8 m/s
17.3 m/s
A body is whirled in a horizontal circle of radius 20 cm. It has an angular velocity of 10 rad/s. What is its linear velocity at any point on circular path?
√2 m/s
2 m/s
20 m/s
A boat is sent across a river with a velocity of 8 km h-1. If the resultant velocity of boat is 10 km h-1 , then velocity of river is
12.8 km h-1
6 km h-1
8 km h-1
10 km h-1
