Suppose a cylinder (radius R, mass M) is used as a pulley. Two masses (m_1 great

Question

Suppose a cylinder (radius R, mass M) is used as a pulley. Two masses (m_1 greaterthanm_2) are attached to either end of a string that hangs over the pulley, and when the system is released it moves as shown. The string does not slip on the pulley. What is the Newton's 2^nd Law equation for m_1? What is the Newton's 2^nd Law equation for m_2? What is the Newton's 2^nd Law equation for torque on the pulley? Suppose m_1 is 8.00 kg, m_2 is 6.00 kg and the pulley has a mass of 4.00 kg, What is the linear acceleration of the blocks?

Explanation / Answer

a)

m1g -T1 = m1 a

b)

T2-m2g = m2a

c)

(T1-T2)R = MR^2/2 x alpha

d)

a = (m1-m2 )g/m1+m2+0.5M

a = 1.225m/s^2

e)

T1 = m1g -m1a

T1 = 68.6 N

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---

---

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