k Your Teac hangs from a string that passes over a very light fixed putey the fi
ID: 1880658 • Letter: K
Question
k Your Teac hangs from a string that passes over a very light fixed putey the figure below. T Y P2. A second string passes around this pulley with one end attached to a wall and the other to an P, as shown in the figure below. The string connects to a second very light pulley P2. A second string passes a object of mass m2 on a frictioniless, horlzontal table. physPa Operatio (a) Ir a, and a, are the accalerations of m, and m2. respectively, what is the relation batween these accoleratioris? (use any variable or symbol stated above as nacessary.) (b) Find expressions for the tensions in the strings in terms of the masses m, and m and g. 0Greek ! (c) Find expressons for the accelerations », anda 2 in terms of the masses m1 and m2, ad g. Noed Help? Show My Work You can how my work an urlimited number of timesExplanation / Answer
Solution,
Acceleration, a = F/m
only force action on the system is m1*g and the masses that have to be accelerated are m1 and m2/2
a1 = m1g/(m1 + m2/2)
a2 = a1/2
a) a2 = a1/2 (Ans)
b) The tension T1 between m1 and second pulley is
T1 = m1g - m1a
T1 = m1g - m1(m1g/(m1 + m2/2)
T1 = m1g - m1^2g(m1 + m2/2)
Tension T2 between the second pulley and m2, T2 = T1/2 (Ans)
c) a1 = m1g/(m1 + m2/2)
a2 = a1/2
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