Please explain steps clearly. Problem 4.52 Part A The lug nut on the wheel of th

Question

Please explain steps clearly.

Problem 4.52 Part A The lug nut on the wheel of the automobile is to be removed using the wrench and applying the vertical force of F 30 N at A. (Figure 1) Determine the magnitude of the moment of the force about the x axis. Express your answer to three significant figures and include the appropriate units Value Units Submit My Answers Give Up Part B Determine if this force is adequate, provided 14 N·m of torque about the z axis is initially required to turn the nut. no yes Submit My Answers Give Up Figure 1 Of 1 Part C F- 30N This question will be shown after you complete previous question(s) 0.25 m Continue 0.3 0.1

Explanation / Answer

Given quantities are force = 30N

a = .25m, b=.3m, c=.5m and let d= .1m

Now for the moment of force about x axis, we know that moment is nothing but force multiplied by perpendicular distance from line of action if force to the point where object turns.

Here force is given and perdicular distance is sqrt(c^2 -b^2) by Pythagoras theorem.

(a) So Mx = 30sqrt(.5^2 -.3^2)

= 30*.4= 12 N.m

(b) as Mx =12Nm is less than M= 14Nm

No, the force is not adequate.

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