In the figure here, a solid brass ball of mass 0.384 g will roll smoothly along

Question

In the figure here, a solid brass ball of mass 0.384 g will roll smoothly along a loop-the-loop track when released from rest along the straight section. The circular loop has radius R = 0.17 m, and the ball has radius r << R.
(a) What is h if the ball is on the verge of leaving the track when it reaches the top of the loop?
(b) If the ball is released at height h = 7R, what is the magnitude of the horizontal force component acting on the ball at point Q?

Hint: Being on the "verge of leaving" means that the normal force has just gone to zero. Draw a free-body diagram of the ball at the top of the loop. Include the gravitational force and the (zero-value) normal force. What is the direction of the centripetal acceleration? Did you get the signs correct? What value of v-squared is needed to be on the verge? Conserve mechanical energy from the starting point to this point Include both types of kinetic energy (translational and rotational)? Use the correct rotational inertia (this is a solid ball).

In the figure here, a solid brass ball of mass 0.384 g will roll smoothly along a loop-the-loop track when released from rest along the straight section. The circular loop has radius R = 0.17 m, and the ball has radius r

Explanation / Answer

Related Questions

Navigate

• Browse (All)
• Browse I
• Subjects

---

---

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