In the figure below, two blocks, of mass m 1 = 300 g and m 2 = 710 g, are connec
ID: 2138133 • Letter: I
Question
In the figure below, two blocks, of mass m1 = 300 g and m2 = 710 g, are connected by a massless cord that is wrapped around a uniform disk of mass M = 500 g and radius R = 12.0 cm. The disk can rotate without friction about a fixed horizontal axis through its center; the cord cannot slip on the disk. The system is released from rest.
In the figure below, two blocks, of mass m1 = 300 g and m2 = 710 g, are connected by a massless cord that is wrapped around a uniform disk of mass M = 500 g and radius R = 12.0 cm. The disk can rotate without friction about a fixed horizontal axis through its center; the cord cannot slip on the disk. The system is released from rest. Find the magnitude of the acceleration of the blocks. m/s2 Find the tension Ti in the cord at the left. 1 N Find the tension T2 in the cord at the right.Explanation / Answer
0.710g - T2 = 0.710a
T2.R - T1.R = (0.500x R^2 /2) x a/R
T2 - T1 = 0.500a/2
T1 - 0.300g = 0.300a
add the,
0.710g - 0.300g = (0.710 + 0.250 +0.300)a
a = 3.19 m/s2
b) T1 = 0.300(a+g) = 3.90 N
c) T2 = 0.710(g - a) = 4.70 N