A 5 kg object placed on a frictionless, horizontal table is connected to a strin

Question

A 5 kg object placed on a frictionless, horizontal table is connected

to a string that passes over a pulley and then is fastened to a hanging

9 kg object. (a) Draw free-body diagrams of both objects. (b) Find the

acceleration of the two objects and the tension in the string.

A 5 kg object placed on a frictionless, horizontal table is connected to a string that passes over a pulley and then is fastened to a hanging 9 kg object. (a) Draw free-body diagrams of both objects. (b) Find the acceleration of the two objects and the tension in the string.

Explanation / Answer

let T is the tension

m1*a = T --(1)

m2*a = m2*g - T


m2*(g - a) = T --(2)

(2)/(1) m2*(g-a) = m1*a

m2*g = a(m1+m2)
a = m2*g/(m1+m2) = 9*9.8/(9+5) = 6.3 m/s^2

T = m1*a = 5*6.3 = 31.5 N

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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