A light, flexible cable is wrapped around a solid cylinder with mass 3.2 kg and

Question

A light, flexible cable is wrapped around a solid cylinder with mass 3.2 kg and radius 0.8 meters. The cylinder rotates on a frictionless pin. The free end of the cable is tied to a 4.7 kg box that is initially 2.2 meters above the floor.

Determine the speed of the block just before it hits the floor if the block starts from at rest.
(include units with answer)

A light, flexible cable is wrapped around a solid cylinder with mass 3.2 kg and radius 0.8 meters. The cylinder rotates on a frictionless pin. The free end of the cable is tied to a 4.7 kg box that is initially 2.2 meters above the floor. Determine the speed of the block just before it hits the floor if the block starts from at rest. (include units with answer)

Explanation / Answer

Here , let the speed of the block just before it hits the floor is v

for the pulley , v = r*w

Now, Using conservation of energy

0.5mv^2 + 0.5Iw^2 = mgh

0.5 * 4.7 * v^2 + 0.5 * 0.5 *3.2 * r^2*v^2/r^2 = 4.7 * 9.8 * 2.2

v = 5.67 m/s

the speed of block is 5.67 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.