# Angular Acceleration

#### melissa_y

1) A solid cylinder of mass M = 1.14 kg and radius R = 6.3 cm pivots on a thin, fixed, frictionless bearing (see Figure). A string wrapped around the cylinder pulls downward with a force F = 4.606 N. What is the magnitude of the angular acceleration of the cylinder? Use units of "rad/s\^{}2".

2)Consider that instead of the force F, a block with mass m = 0.47 kg (with force F = 4.606 N) is attached to the cylinder with a massless string (see Figure). What is now the magnitude of the angular acceleration of the cylinder? Use units of "rad/s\^{}2".

3)How far does mass m travel downward between t = 0.51 s and t = 0.71 s (Assuming motion begins at time t = 0.0 s)?

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#### Dr.Brain

1)

$T=I a where T = rF sinQ$

Use the expression for MI of the cylinder and calculate the torque and put the values in the above expression.

2) Try to use the Free Body Diagram , the same expressions as above will be applicable , in this case the force 'F' will change.Try i out and show your work here.

B.J

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