A bead of mass 55 g was threaded on a wire. The wire was bent into a circular hoop of radius 0.99 m. The bead moves around the hoop at a constant speed of 4.5 m/s. Given that the hoop lies in a horizontal plane, find the vertical component and the horizontal component of the reaction force acting on the bead due to the wire. Take .
An athlete goes around a circular track at 3.7 m/s. If the radius of the track is 19 m, how long does one lap take? Round your answer to one decimal place.
A bead of mass 155 g is attached by a light inextensible string of length 31 cm to a fixed point on the smooth horizontal surface of a table. What is the tension in the string if the bead moves at a constant speed of 14 m/s around with the string taut at all times?