The ball of a trailer hitch is subjected - Mechanical Engineering

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The ball of a trailer hitch is subjected to a force F. If failure occurs when the moment of F about point A reaches 10.000 in.·lb. determine the largest value F may have and specify the value of α for which the moment about .A is the largest. Note that the value of F you determine must not produce a moment about, A that exceeds 10.000 in.·lb for any possible value of α.

ChemistryExplain “#307 The ball of a trailer hitch is subjected" in Mechanical Engineering, Best colleges for mechanical engineering, Entry level mechanical

Figure P4.7

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Free Chegg Answer

Step 1 of 4

Draw free body diagram of the system.
Step 2 of 4

Apply the equation of equilibrium along x direction.

Here, the force is F.

Apply the equation of equilibrium along y direction.
Step 3 of 4

Take moment about point A.

Substitute for and for .

…… (1)

Differentiate the above equation with respect to angle.

For the maximum moment,

Calculate the angle from positive x direction.

Therefore, the allowable angle for the required force is .
Step 4 of 4

Substitute for in equation (1).

Therefore, the maximum force required for the given system is .