A thin rod of mass M = 1.2 kg and length L = 2m is struck at one end by a ball o

Question

A thin rod of mass M = 1.2 kg and length L = 2m is struck at one end by a ball of clay of mass m = 150 g, moving with speed v=7.5 m/s as shown in the figure. The ball sticks to the rod. After the collision, the angular momentum of the clay-rod system about A, the midpoint of the rod, is

A) 0.5 rad/s

B) 1.1 rad/s

C) 2.0 rad/s

D) 2.8 rad/s

E) 4.0 rad/s

Answer C but how?

A thin rod of mass M = 1.2 kg and length L = 2m is struck at one end by a ball of clay of mass m = 150 g, moving with speed v=7.5 m/s as shown in the figure. The ball sticks to the rod. After the collision, the angular momentum of the clay-rod system about A, the midpoint of the rod, is 0.5 rad/s 1.1 rad/s 2.0 rad/s 2.8 rad/s 4.0 rad/s

Explanation / Answer

Because there are no external forces on the system, total angular momentum is conserved. Angular momentum about point A is simply mvL/2.

A = 0.150*7.5*2/2 = 1.1 rad/s

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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