A tennis ball connected to a string is spun around in a vertical, circular path

Question

A tennis ball connected to a string is spun around in a vertical, circular path at a uniform speed. The ball has a mass m = 0.174 kg and moves at v = 5.41 m/s. The circular path has a radius of R = 1.11 m
What is the magnitude of the tension in the string when the ball is at the bottom of the circle
What is the magnitude of the tension in the string when the ball is at the side of the circle
What is the magnitude of the tension in the string when the ball is at the top of the circle
What is the minimum velocity so the string will not go slack as the ball moves around the circle
PLEASE SHOW STEPS

Explanation / Answer

at the bottom of circle

T - mg = mv2/r

T = m(g + 26.36)

T = 6.29 N

at the side

T = mv2/r = 4.169 N

at the top

T + mg = mv2/r

T = 2.88 N

for minimum velocity, T at top is zero

mg = mv2/r

v = rg

v = 3.28 m/s

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.