(8.2) A ring consists of 12 segments sections, each of mass m for a total mass o

Question

(8.2) A ring consists of 12 segments sections, each of mass m for a total mass of 12m. After a pulse force is applied to the inside of the ring, the r ng breaks into three sections as shown (section 1 has 4 segments, sec- tion 2 has 3 segments, and section 3 h s 5 segments). The velocity directions are shown for ach section. If the speed of section 1 is ui = u, deterrane the speeds v2 and vs in terms of v. Hint: Choos one of the ve- locity directions and call that the a-ax s (I set the vi- direction to be the x-direction). Answ. rs: v2 = 1.09u and U3 = 0.8920 105

Explanation / Answer

conserving the momentum,

4m ( v1) = 3m (v2 ) cos (105) +5m ( V3) cos 225---eq(1)

3m ( v2 sin 105) =5m v3si n ( 225) ----------eq(2)

solving eq(2) , further

2.9 ( V2) =3.53 V3-------plugging these values in eq(1)

4 ( v) = 0.947 (v3) + 3.53 V3

V3= 4v/4.477 = 0.893 v

V2= ( 3.53)/ 2.9 ( 0.893 v) = 1.09 v

Related Questions

Navigate

• Browse (All)
• Browse #
• Subjects

---

---

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