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In order to unscrew the tapped faucet A, a plumber uses two pipe wrenches as sho

ID: 1818243 • Letter: I

Question

In order to unscrew the tapped faucet A, a plumber uses two pipe wrenches as shown. By exerting a 40-lb force on each wrench, at a distance of 10 in. from the axis of the pipe and in a direction perpendicular to the pipe and to the wrench, the plumber prevents the pipe from rotating, and thus avoids loosening or further tightening the joint between the pipe and the tapped elbow C. Determine (a) the angle that the wrench at A should form with the vertical if elbow C is not to rotate about the vertical, (b) the force-couple system at C equivalent to the two 40-lb forces when this condition is satisfied.

I'm really not sure what they're asking about the angle. All I can think is will always change as the wrench is being rotated. Can you simplify what they're asking?

In order to unscrew the tapped faucet A, a plumber uses two pipe wrenches as shown. By exerting a 40-lb force on each wrench, at a distance of 10 in. from the axis of the pipe and in a direction perpendicular to the pipe and to the wrench, the plumber prevents the pipe from rotating, and thus avoids loosening or further tightening the joint between the pipe and the tapped elbow C. Determine (a) the angle theta that the wrench at A should form with the vertical if elbow C is not to rotate about the vertical, (b) the force-couple system at C equivalent to the two 40-lb forces when this condition is satisfied. I'm really not sure what they're asking about the angle. All I can think is theta will always change as the wrench is being rotated. Can you simplify what they're asking?

Explanation / Answer

the force in the X or Y direction will be the 40lb times sin(theta) or cos(theta), so when you set your moment equations, do one for the X direction and one for the Y direction. This will allow you to solve for theta.

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