Two blocks are connected by a light string that passes over a frictionless pulley as in...
Two blocks are connected by a light string that passes over a frictionless pulley as in the figure below. The system is released from rest while m2 is on the floor and m1 is a distance h above the floor.
(a) Taking m1 = 6.4 kg, m2 = 3.9 kg, and h = 3.1 m, find the final speed.
(b) Find the speed of each block when m1 has fallen a distance of 1.3 m.
Homework Answers
a] Acceleration in a simple Atwood machine a = (m1-m2)*g/(m1+m2)
= (6.4-3.9)*9.8/(6.4+3.9)
= 2.3786 m/s^2
using third equation of motion,
v = sqrt(2as)
= sqrt(2*2.3786*3.1)
= 3.84 m/s
b] Again using third equation of motion,
speed of each block v = sqrt(2as)
= sqrt(2*2.3786*1.3)
= 2.487 m/s
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