When a sphere of radius r rolls with its COM having a linear velocity v, what is the velocity of (i) the lower-most point in contact with the surface and (//) the top-most point?

A disc rotating about its axis with angular speed ?Qis placed lightly (without any translational push) on a perfectly frictionless table. The radius of the disc is R. What are the linear velocities of the points A, B and C on the disc shown in Fig. 7.41? Will the disc roll in the direction indicated?

In a circus a rider rides in circular track of radius R in the vertical plane. The minimum velocity at highest point of the track will be :

A ball of mass 150 gm is thrown vertically upward with a velocity of 10m/sec. What is the momentum at its highest point of ascend?

A body is projected with a speed v at an angle theta with horizontal to have maximum range. What is the velocity at the highest’ point?

If a body is moving in a circle of radius r with a constant speed v m/s. Its angular velocity is

A swimmer can swim with Velocity of 10 km/h. w.r.t, the water flowing in a river with velocity of 5 km/h. In what direction should he swim to reach the point on the other bank just opposite to his starting point?

A 14.5 kg mass, fastened to the end of a steel wire of unstretched length 1.0 m, is whirled in a vertical circle with an angular velocity of 2 rev/s at the bottom of the circle. The cross-sectional area of the wire is 0.065 cm^2 . Calculate the elongation of the wire when the mass is at the lowest point of its path.

A player throws a bail upwards with an initial speed of 29.4 m s^-1 . What are the velocity and acceleration of the ball at the highest point of its motion?