Objects of masses m1 = 4.00 kg and m2 = 9.00 kg are connected by a light string

Question

Objects of masses m1 = 4.00 kg and m2 = 9.00 kg are connected by a light string that passes over a frictionless pulley as in the figure below. The object m1 is held at rest on the floor, and m2 rests on a fixed incline of theta = 39.0 degree. The objects are released from rest, and m2 slides 1.70 m down the slope of the incline in 3.50 s. Determine the acceleration of each object. (Enter the magnitude only) m/s2 Determine the tension in the string. (Enter the magnitude only) N Determine the coefficient of kinetic friction between m2 and the incline.

Explanation / Answer

a)

acc. of m2 = delta V/delta T

= 1.7/3.5 = 17/35 m/sec^2

so acc of m2 = acc of m1 = 17/35 m/sec^2 = .485 m/sec^2)

b)

from block 1

T - m1g = m1a

T = m1g + m1a = 4*9.8 + 4*17/35

T = 41.14 N

c)

from block 2

m2gsinx -T - um2gcosx = m2*a

9*9.8*.629 - 41.14 - u*9*9.8*.777 = 9*17/35

55.4778 -41.14 -u*68.5314 = 4.37

14.3378 -u68.5314 = 4.37

u = .145

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

---

---

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