Problem 2 (9 Points) Two blocks are connected by inelastic rope over a pulley, a

Question

Problem 2 (9 Points) Two blocks are connected by inelastic rope over a pulley, as shown. Block #1 is on a flat level surface, while Block #2 is on a 50° incline. Both surfaces have the following friction coefficients: As = 0.45 = 0.25 Assume the pulley is a solid disk, radius R = 2 cm, and has a totally frictionless axle. The blocks and pulley have the following masses: m1 = 18 kg m2 = 22 kg in p = 1kg Based on this information, answer the following questions: a. 3 Points) Does the system of two blocks and a pulley accelerate? b. (3 Points) What is the Tension in the Rope between the Pulley c, (3 Points) What is the Tension in the Rope between Block #1 and If so, by how much? and Block #2 (Ti)? the Pulley (T2)?

Explanation / Answer

on m1 :

N1 = m1 g

f1 = uk m1 g = 0.25 x 18 g = 4.5 g

in horizontal,

T2 - f1 = m1 a

T2 - 4.5g = 18 a ..... (i)

on m2: N2 = 22 g cos50

f2 = 0.25 x 22 g cos50 = 3.54 g

22 g sin50 - T1 - f2 = m2 a

22 g sin50 - T1 - 3.54g = 22 a

13.3g - T1 = 22 a ............ (ii)

ON pulley:

R ( T2 - T1) = (1 x R^2 /2 )(a / R)

T1 - T2 = 0.5 a ...... (iii)

(i) + (ii) +(iii) =>

8.81 x 9.81 = 40.5 a

a = 2.13 m/s^2 ......ns

(b) T1 = (13.3 x9.81) - (22 x 2.13) = 83.6 N

(c) T1 - T2 = 0.5 a

T2 = 82.5 N

Related Questions

Navigate

• Browse (All)
• Browse P
• Subjects

---

---

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