Asked by Ray
A ball is on the end of a rope that is 1.75 m in length. The ball and rope are attached to a pole and the entire apparatus, including the pole, rotates about the pole's symmetry axis. The rope makes an angle of 78.0°
with respect to the vertical. What is the tangential speed of the ball? I have been trying to use the circular motion kinematics equations to somehow solve for radial velocity or acceleration but I feel like there isn't enough information here.
with respect to the vertical. What is the tangential speed of the ball? I have been trying to use the circular motion kinematics equations to somehow solve for radial velocity or acceleration but I feel like there isn't enough information here.
Answers
Answered by
Scott
two forces on the ball
... tension and gravity
gravity equals the vertical component of tension
centripetal force is the horizontal component
m v^2 / [1.75 sin(78.0º)] =
... m g tan(78.0º)
... tension and gravity
gravity equals the vertical component of tension
centripetal force is the horizontal component
m v^2 / [1.75 sin(78.0º)] =
... m g tan(78.0º)