A 5 kg object placed on a frictionless, horizontal table is connected to a strin
ID: 2134958 • Letter: A
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