The figure below ( Figure 1 ) illustrates an Atwood\'s machine. Let the masses o

Question

The figure below (Figure 1) illustrates an Atwood's machine. Let the masses of blocks A and B be 3.50kgand 2.00kg , respectively, the moment of inertia of the wheel about its axis be 0.400kg?m2, and the radius of the wheel be 0.140m .

http://session.masteringphysics.com/problemAsset/1026379/9/yg.10.71.jpg

Find the angular acceleration of the wheel C if there is no slipping between the cord and the surface of the wheel.

Find the tension in left side of the cord if there is no slipping between the cord and the surface of the wheel.

Find the tension in right side of the cord if there is no slipping between the cord and the surface of the wheel.

The figure below (Figure 1) illustrates an Atwood's machine. Let the masses of blocks A and B be 3.50kgand 2.00kg, respectively, the moment of inertia of the wheel about its axis be 0.400kg?m2, and the radius of the wheel be 0.140m. Find the angular acceleration of the wheel C if there is no slipping between the cord and the surface of the wheel. Find the tension in left side of the cord if there is no slipping between the cord and the surface of the wheel. Find the tension in right side of the cord if there is no slipping between the cord and the surface of the wheel.

Explanation / Answer

1) Find the magnitude of linear accelerations of block A if there is no slipping between the cord and the surface of the wheel.
2)Find the magnitude of linear accelerations of block B if there is no slipping between the cord and the surface of the wheel.

For 1) and 2) above note that |a| will be same as there is no slipping, The heavier mass say B will have direction downwards and A will have direction upwards.
Let T1 be the tension on 3.5 kg side and T2 on the other side we have
3.5*9.8 - T1 = 3.5*|a| ------------------------- (1)
T2 - 2.0*9.8 = 2.0*|a| ------------------------- (2), and
(T1 -T2)*0.1 = 0.400*{|a|/0.1} or
T1 -T2 = 40 --------------------------------------(3...
Solve the simultaneous equations (1), (2) and (3) to get answers to all questions.
When I find time I shall do it for you.
3)Find the angular acceleration of the wheel C if there is no slipping between the cord and the surface of the wheel.
4)Find the tension in left side of the cord if there is no slipping between the cord and the surface of the wheel.
5)Find the tension in right side of the cord if there is no slipping between the cord and the surface of the wheel

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