Equations of Motion: General Plane Motion

Learning Goal:

To use the equations of motion and apply them to a system of particles experiencing general plane motion and to use this information to determine characteristics such as accelerations and acting forces.

The blocks A and B shown are initially at rest and have masses of mA=225 kg and mB=109 kg. Neglect the mass of the rope and pulley system and assume block B moves only in the vertical direction, parallel to the y-axis. Neglect the effects of friction.

(Figure 1)

 

 

 

 

Part A - Acceleration of Block B

If the blocks are released from rest, determine the magnitude of the acceleration of block B.

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

aB=

0.501 ms2

 

 

Part B - Acceleration of Block A

If the blocks are released from rest, determine the magnitude of the acceleration of block A.

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

aA=

1.50 ms2

 

 

Part C - Tension in the Rope

If the blocks are released from rest, determine the tension in the rope.

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

T=

338 N