Special: Recoup points for Exam 2 A billiard ball of mass M and radius R (moment

Question

Special: Recoup points for Exam 2 A billiard ball of mass M and radius R (moment of inertia about its center I = 2/3 MR^2) initially rests on a horizontal table. A horizontal cue, hitting the ball at a height h = 2/3 R, as shown in the Figure, delivers a momentum P and an angular momentum L. Find the ratio L/P for the ball immediately after being hit. There will be initially some slipping, but eventually the ball will start rolling, due to friction between the ball and the floor. The rolling ball will then have a momentum P' and and angular momentum L'. What is the ratio L'/P'? (Make sure to take into account the sign of the angular momentum, for example, positive for counterclockwise rotation and negative for clockwise rotation).

Explanation / Answer

A) angular momentum L = mv*(R/3 )

= PR/3

Required ratio = ( PR/3)/P = R/3

B) When it starts pure rolling, angular momentum = iw

= 2/5 MR^2 w

linear momentum = MV =MWR

Ratio = 2/5 R

  

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

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