1 
Find the torque around the "X" due to the shown force. 


2 
Find the torque around the "X" due to the shown force. (The force is at an angle.) 


3 
Find the torque around the "X" due to the shown force. (The force is at an angle.) 



The center of mass of the beam only is located exactly 49 cm from the left end as shown in the diagram. The beam is exactly 1 meter long from end to end. 


4 
For the picture above of the orange beam, where is the location of the center of mass of the system as measured from the left end? (The system consists of the 2 masses and the beam.) 
5 
For the picture above of the orange beam, where is the center of mass of the system located as measured from the right end? (Do new calculations and don't just subtract 100 cm from your answer in #1) 
6 
For the picture above of the orange beam, where is the center of mass of the system located as measured from the location of the 30 g mass? (Do new calculations.) 

The center of mass of the beam only is located exactly 51 cm from the left end as shown in the diagram.. The beam is exactly 1 meter long from end to end. 


7 
For the picture above of the blue beam, where is the system's center of mass located from the left end? 
8 
For the picture above of the blue beam, where is the system's center of mass located from the beam's center of mass? (Do new calculations and don't just subtract 100 cm from your answer in #4) 
9 
Draw an extended free body diagram of the seesaw. (As measured from the left.) 


10 
Draw an extended free body diagram of the car. (As measured from the rear of the car.) 



11 
Draw an extended free body diagram of the jet. (As measured from the front of the jet.) 


12 
Draw an extended free body diagram of the fishing rod. In order to hold the rod tip up, the hand in front must lift up while the hand in back pushes down. (As measured from the bottom rear of the rod.) 


13 
Draw an extended free body diagram of the 5.5 m long beam. There is a reaction force, R, at the wall where the beam touches it. To make calculations easy, represent the reaction force, R, with its components, "V" and "H" at the pin hinge. "V" stands for vertical and "H" stands for horizontal. (Measure from the wall.) 


14 
Write a torque math sentence for the extended free body that is shown below. Use the LEFT end as the axis of rotation. Use variables for forces and numbers for the distances. ALSO write the summation of the forces inthe x and y directions. 


15 
Write a torque math sentence for the extended free body that is shown below. Use the RIGHT end as the axis of rotation. Use variables for forces and numbers for the distances. ALSO write the summation of the forces inthe x and y directions. 


16 
Write a torque math sentence for the diagram below. Make the axis of rotation the left end of the see saw. 


17 
Write a torque math sentence for the diagram below. Make the axis of rotation the FRONT AXLE of the car. 


18 
Write a torque math sentence for the diagram below. Make the axis of rotation the location of the lift on the plane's center of gravity. 

