Fundamental Problem 17.17

The 146-kg spool has a radius of gyration about its mass center of kG = 300 mm. If the couple moment is applied to the spool and the coefficient of kinetic friction between the spool and the ground is μk = 0.2, determine the angular acceleration of the spool, the acceleration of G and the tension in the cable. (Figure 1)  

 

 

 

Part A

Determine the angular acceleration of the spool.

Express your answer to three significant figures and include the appropriate units.

α =	4.48 rads2

 

 

Part B

Determine the acceleration of G.

Express your answer to three significant figures and include the appropriate units.

aG =

1.79 ms2

 

 

Part C

Determine the tension in the cable.

Express your answer to three significant figures and include the appropriate units.

T =

548 N