#450 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 4

   Draw the free body diagram of the tail gate of the car.

   

2. Step 2 of 4

   Calculate the distance between the points B and C as follows:

   

   Calculate the values of and  from the free body as shown below:

   

3. Step 3 of 4

   Represent the force in the hydraulic lift BC into its rectangular components.

   

   Substitute  for , for  and  for .

   

4. Step 4 of 4

   Calculate the position vector .

   

   Calculate the Moment about the point A as follows:

   

   Substitute for  and  for .

   

   Therefore, the magnitude of the moment about A is .