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

Question

BlackTom AI · Accepted Answer

To tackle this question, I’ll evaluate what the mechanical advantage (MA) of a simple machine represents and how it relates to the given lengths.

First, consider what MA means for a simple lever-like device: MA is the ratio of the input distance moved by the effort to the output distance moved by the load, which often corresponds to the ratio of the two arms when the system is ideal and frictionless. In the diagram, li denotes the input travel distance (how far the effort moves along its path), and lo denotes the output travel distance (how far the load moves at the output end).

Option 4 states 4: this would be consistent with MA = li/lo when li is four times lo. If li = 4 lo, then li/lo = 4, so the beam or lever multiplies the input distance by four. Under ideal conditions, this also corresponds to how the forces balance: the larger input travel distance yields a smaller output force, and the ratio of distances matches the ratio of forces (neglecting losses).

Option 3: If you claimed MA = 3, you would be asserting that the input travel is three times the output travel, which requires li/lo = 3. However, the given relationship is li = 4 lo, not 3 lo, so this contradicts the provided data.

Option 2: If MA were 2, you’d be saying the input distance is twice the output distance. Again, the provided information specifies li is four times lo, so this option doesn’t align with the figure’s values.

Option 1: If MA were 1, that would imply no mechanical advantage (equal input and output distances). The diagram explicitly states li is four times lo, not equal, so this choice is inconsistent with the given condition.

In summary, the only option that matches the stated geometric relation li = 4 lo and yields the corresponding MA in an ideal simple machine is the one where MA = li/lo = 4. The other options fail because they do not honor the given proportion between li and lo or they imply a different distance ratio than what is provided by the figure.

SPHY001 Graded Quiz 5 (Unit 9 and Unit 10)- Requires Respondus LockDown Browser

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

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Similar Questions

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?

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

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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SPHY001 Graded Quiz 5 (Unit 9 and Unit 10)- Requires Respondus LockDown Browser

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

View Explanation

Log in for full answers

Similar Questions

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?

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

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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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.