In the figure below, two blocks, of mass m 1 = 360 g and m 2 = 750 g, are connec
ID: 2138260 • Letter: I
Question
In the figure below, two blocks, of mass m1 = 360 g and m2 = 750 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 = 360 g and m2 = 750 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. Find the tension T1 in the cord at the left. Find the tension T2 in the cord at the right.Explanation / Answer
for block 1
T1 - m1g = m1a
for block 2
m2g - T2 = m2a
for pully
RT2 - RT2 = 1/2 M R^2 alpha
T2 - T1 = 1/2 M a
add equations
m2g - m1g = m1a + m2a + 1/2 M a
(.75-.36)*9.81 = (.36+.75+0.5*.5)*a
a=2.81
b)
T1 = .36*(9.81+2.81)=4.54
c) T2 = m2g - m2a = .75*(9.81-2.81)=5.25