If a first-class lever has a resistance of 400 lbs at a distance of 10 inches from the fulcrum, and the effort arm is 50 inches, how much effort force is required to lift the resistance?

Question

BlackTom AI · Accepted Answer

To solve this first-class lever problem, we must use the principle of moments (torque balance).
First, identify the moments around the fulcrum: the resistance creates a resisting moment of R × d_r, where R is the resistance force and d_r is its distance from the fulcrum. Here, R = 400 lb and d_r = 10 inches, so the resisting moment is 400 × 10 = 4000 inch-lb.
Next, the effort creates a driving moment of E × d_e, where E is the effort force and d_e is the distance of the effort arm from the fulcrum. Given d_e = 50 inches, the driving moment is E × 50.
For the lever to be in equilibrium (lift the resistance), the driving moment must equal the resisting moment: E × 50 = 4000.
Solving for E, we get E = 4000 / 50 = 80 lb.
Note that the problem statement asks for the required effort force, but the provided answer options are missing. Without options, we can still verify the calculation by applying the torque balance formula directly. If you had multiple-choice options, you would compare each option by multiplying it by 50 and checking which equals 4000 inch-lb; any option not matching would be incorrect. The key concept here is that the lever’s mechanical advantage is the ratio of the effort arm to the resistance arm, which in this case is 50:10 or 5:1, yielding an 80-lb effort to lift a 400-lb resistance.
In summary, using the moment balance around the fulcrum and the given distances leads to the required effort force, independent of the answer choices provided.

If a first-class lever has a resistance of 400 lbs at a distance of 10 inches from the fulcrum, and the effort arm is 50 inches, how much effort force is required to lift the resistance?单项选择题

类似问题

The lever below is a 2nd class lever, this type of lever has a mechanical advantage of > 1 .

What is the mechanical advantage of the simple machine in the figure if li = 4 lo ?

Refer to the lever in the diagram above and answer the following: This is a 2nd class lever. The lever has a mechanical “advantage” MA>1 . The function of the lever is to allow less effort to be required to overcome the resistance .

Refer to the lever in the diagram above and answer the following: This is a 1st class lever. The lever has a mechanical “advantage” MA> The function of the lever is to allow less effort to be required to overcome the resistance .

Refer to the lever in the diagram above and answer the following: This is a 3rd class lever. The lever has a mechanical “disadvantage” MA <1 The function of the lever is to increase the speed and range of motion of the resistance. .

If you can not change your effort force or your resistance force, to make it easier to lift a resistance you could lengthen the length of the moment arm for the effort and/or shorten the length of the moment arm for the resistance.

Which of the following statements describes a second-class lever?

Which of the following statements describes a second-class lever?

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If a first-class lever has a resistance of 400 lbs at a distance of 10 inches from the fulcrum, and the effort arm is 50 inches, how much effort force is required to lift the resistance?单项选择题

类似问题

The lever below is a 2nd class lever, this type of lever has a mechanical advantage of > 1 .

What is the mechanical advantage of the simple machine in the figure if li = 4 lo ?

Refer to the lever in the diagram above and answer the following: This is a __2nd class __ lever. The lever has a __mechanical “advantage” MA>1 __. The function of the lever is to __allow less effort to be required to overcome the resistance __.

Refer to the lever in the diagram above and answer the following: This is a __1st class __ lever. The lever has a __mechanical “advantage” MA> __ The function of the lever is to __allow less effort to be required to overcome the resistance __.

Refer to the lever in the diagram above and answer the following: This is a __3rd class __ lever. The lever has a __mechanical “disadvantage” MA <1 __ The function of the lever is to __increase the speed and range of motion of the resistance. __.

If you can not change your effort force or your resistance force, to make it easier to lift a resistance you could __lengthen __ the length of the moment arm for the effort and/or __shorten __ the length of the moment arm for the resistance.

Which of the following statements describes a second-class lever?

Which of the following statements describes a second-class lever?

更多留学生实用工具

希望你的学习变得更简单

Refer to the lever in the diagram above and answer the following: This is a 2nd class lever. The lever has a mechanical “advantage” MA>1 . The function of the lever is to allow less effort to be required to overcome the resistance .

Refer to the lever in the diagram above and answer the following: This is a 1st class lever. The lever has a mechanical “advantage” MA> The function of the lever is to allow less effort to be required to overcome the resistance .

Refer to the lever in the diagram above and answer the following: This is a 3rd class lever. The lever has a mechanical “disadvantage” MA <1 The function of the lever is to increase the speed and range of motion of the resistance. .

If you can not change your effort force or your resistance force, to make it easier to lift a resistance you could lengthen the length of the moment arm for the effort and/or shorten the length of the moment arm for the resistance.