Use work energy to solve parts (a) and (b) and kinematics tosolve parts (c) and

Question

Use work energy to solve parts (a) and (b) and kinematics tosolve parts (c) and (d). In the figure below, the pulley is solid disk of mass M andradius R, with rotational inertia MR2/2. Two blocks, oneof mass m1 and one of mass m2, hang fromeither side of the pulley by a light cord. Initially the system isa rest, with Block 1 on the floor and Block 2 held at heigh h abovethe floor. Block 2 is then released and allowed to fall. (a) What is the speed of Block 2 jsut before it strikes theground? (b) What is the angular speed of the pulley at themoment? (c) What's the angular displacement of the pulley? (d) How long does it take for the Block 2 to fall tothefloor? I need help with all of the steps in working through asolution for this problem. Thank you in advance for yourassistance.

Explanation / Answer

a) m2gh = m1gh + (m1 +m2)v2/2 + I2/2 (m2 - m1)gh = (m1 +m2)v2/2 +(MR2/2)(v/R)2/2 (m2 - m1)gh = (m1 + m2+ M/2)v2/2 v = [2(m2 -m1)gh/(m1 + m2 + M/2)] b) = v/R = [2(m2 -m1)gh/(m1 + m2 + M/2)] / R c) = h/R d) = (0 + )*t/2 t = 2/

Related Questions

Navigate

• Browse (All)
• Browse U
• Subjects

---

---

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