Motion in a Plane Quiz 3

Two particles A and B are moving in uniform circular motion in concentric circles of radii r and r with speed v and v respectively. Their time period of rotation is the same. The ratio of angular speed of A to that of B will be:

When an object is shot from the bottom of a long smooth inclined plane kept at an angle 60° with horizontal, it can travel a distance $x_1$ along the plane. But when the inclination is decreased to 30° and the same object is shot with the same velocity, it can travel $x_2$ distance. Then $x_1 : x_2$ will be:

A person travelling in a straight line moves with a constant velocity $v_1$ for certain distance x’ and with a constant velocity $v_2$ for next equal distance. The average velocity y is given by the relation

Two bullets are fired horizontally and simultaneously towards each other from roof tops of two buildings 100 m apart and of same height of 200 m, with the same velocity of 25 m/s. When and where will the two bullets collide? (g = 10 $m/s^2$ )

A particle is moving with a uniform speed in a circular orbit of radius R in a central force inversely proportional to the $n^{th}$ power of R. If the period of rotation of the particle is T, then:

The angular velocity depends upon the rate of change of the?

A small body attached at the end of an inextensible string completes a vertical circle, then its

A body makes a displacement of 4 m due East from a point O and then makes displacement of 3 m due North. Its resultant displacement from O

When angular velocity changes with respect to time then?

One radian is defined to be the angle subtended where the arc length S is exactly equal to the?