A solid uniform cylinder with a radius of 0.3m and a mass of 12kg is free to rotate about its axis, which is supported by frictionless bearing a constant tangential force of 10N is applied to the cylinder calculate (i)the torque applies to the cylinder (ii) what's the angular acceleration of the cylinder (iii) what's the angular velocity of the cylinder 3 secs after the force applied.

Abasketball star covers 2.65 m horizontally in a jump to dunk the ball. his motion through space can be modeled precisely as that of a particle at his center of mass. his center of mass is at elevation 1.02 m when he leaves the floor. it reaches a maximum height of 1.90 m above the floor and is at elevation 0.910 m when he touches down again. (a) determine his time of flight (his "hang time"). (b) determine his horizontal velocity at the instant of takeoff. (c) determine his vertical velocity at the instant of takeoff. (d) determine his takeoff angle. (e) for comparison, determine the hang time of a whitetail deer making a jump with center-of-mass elevations yi = 1.20 m, ymax = 2.45 m, and yf = 0.750 m.