a 23-in. vertical rod cd is welded to the midpoint c of the 50-in. rod ab. determine the moment about ab of the 171-lb force q. components of the moment about point b

Answers

Answer 1

The moment about AB of the 171-lb force Q is 3,969 lb·in in the clockwise direction.

How is the moment about AB calculated?

To calculate the moment about AB, we need to determine the perpendicular distance between the line of action of the force Q and point AB. Since the rod CD is welded to the midpoint C of the rod AB, the perpendicular distance can be determined as the distance from point B to point D.

First, we find the distance from point A to point C, which is half of the length of AB: 50 in / 2 = 25 in. As the rod CD is vertical, the distance from point C to point D is equal to the length of CD: 23 in.

Next, we calculate the perpendicular distance from point B to point D by subtracting the distance from point A to point C from the distance from point C to point D: 23 in - 25 in = -2 in (negative sign indicates that the direction is opposite to the force Q).

Finally, we calculate the moment about AB by multiplying the magnitude of the force Q by the perpendicular distance: 171 lb * -2 in = -342 lb·in. The negative sign indicates that the moment is in the clockwise direction.

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Related Questions

2. in this unit of inquiry you have been learning about force and motion. what specific areas of focus within this unit do you need to consider when designing your supplypod?

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When designing your Supply Pod for the unit of inquiry on force and motion, there are several specific areas of focus that you need to consider.

1. Forces: Understand different types of forces, such as gravity, friction, and magnetism. Consider how these forces can be utilized or minimized in your SupplyPod design.

2. Motion: Explore the concept of motion, including speed, acceleration, and velocity. Think about how you can incorporate elements that demonstrate or utilize these principles in your SupplyPod.

3. Energy: Investigate various forms of energy, such as potential and kinetic energy. Consider how you can incorporate energy transfer or conservation principles into your SupplyPod design.

4. Simple Machines: Learn about simple machines like levers, pulleys, and inclined planes. Think about how you can incorporate these mechanisms into your Supply Pod to enhance its functionality or efficiency.

5. Design and Engineering: Apply the principles of design thinking and engineering to your SupplyPod. Consider factors like stability, durability, and ease of use when designing your pod.

By considering these specific areas of focus, you can ensure that your Supply Pod aligns with the concepts and principles learned in the unit of inquiry on force and motion.

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