Posted by John on Friday, December 1, 2006 at 1:29pm.
In Figure 10-53, two blocks, of mass m1 =400 g and m2 =600 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.
(a) Find the magnitude of the acceleration of the blocks.
m/s2
(b) Find the tension T1 in the cord at the left.
N
(c) Find the tension T2 in the cord at the right.
N
First, calculate the moment of inertia for the pulley.
Then, notice on the pulley that angular acceleration is related to cord acceleration by
alpha*radius= linear acceleration.
Now, writing a system equation...
m2*(g-a)= pulling force by gravity
I*alpha= Torque on pulley
I*alpha/radius = force on pulley extreme
I*acceleration/radius^2
m1*a= tension on m1
or
m2*(g-a)=I*a /r^2+m1*a
solve for a.
check my thinking.
i need help with writing system of equations for ages
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