Where on the rope do you expect the tension will be greatest? where do you expect it will be the least? a uniform rope with length l and mass m is held at one end and whirled in a horizontal circle with angular velocity ω. you can ignore the force of gravity on the rope. (a) at a point on the rope a distance r from the end that is held, what is the tension f? (b) what is the speed of transverse waves at this point? (c) find the time required for a transverse wave to travel from one end of the rope to the other.

Aball is thrown from the top of a building with an initial velocity of 21.9 m/s straight upward, at an initial height of 51.6 m above the ground. the ball just misses the edge of the roof on its way down, as shown in the figure. (a) determine the time needed for the ball to reach its maximum height. (b) determine the maximum height. (c) determine the time needed for the ball to return to the height from which it was thrown, and the velocity of the ball at that instant. (d) determine the time needed for the ball to reach the ground. (e) determine the velocity and position of the ball at t = 5.35 s.