#460 The tailgate of a car is supported by

The tailgate of a car is supported by - Mechanical Engineering

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Free Chegg Question

The tailgate of a car is supported by the hydraulic lift BC. If the lift exerts a 125-lb force directed along its centerline on the ball and socket at B, determine the moment of the force about A.

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Free Chegg Answer

1. Step 1 of 3

   Draw the free body diagram of the tailgate of the car as shown in the figure,

   

2. Step 2 of 3

   Write the force vector directed along the hydraulic lift CB.

   

   Here, the magnitude of the force exerted by the lift is  and the angle made by the lift with the horizontal is .

   Substitute  for ,  for , and  for  according to Pythagorean theorem from the free body diagram.

   

3. Step 3 of 3

   Find the position vector pointing from point A to point B considering point A as the origin.

   

   Find the moment of the force about point A using the formula,

   

   Substitute  for  and  for .

   

   Convert the unit of moment from  to  using the conversion factor .

   

   Therefore, the magnitude of the moment of the force about A is .