more than 4 weeks ago

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more than 4 weeks ago

To calculate the velocity ratio of the system, we can use the formula:

Velocity Ratio = Load distance / Effort distance

Given:

Load = 40N

Load distance = 0.5m

Effort = 100N

Effort distance = x (unknown)

First, let's calculate the effort distance when the load moves to a new position that is twice as far from the fulcrum:

Load distance (new) = 2 * 0.5m = 1m

Now, we can calculate the effort distance using the principle of moments:

Load * Load distance = Effort * Effort distance

40N * 0.5m = 100N * x

20 = 100x

x = 0.2m

Now that we have the effort distance, we can calculate the new velocity ratio:

Velocity Ratio (new) = Load distance (new) / Effort distance

Velocity Ratio (new) = 1m / 0.2m

Velocity Ratio (new) = 5

Therefore, the velocity ratio of the system when the load moves to a new position that is twice as far from the fulcrum while the effort distance remains constant is 5.

Velocity Ratio = Load distance / Effort distance

Given:

Load = 40N

Load distance = 0.5m

Effort = 100N

Effort distance = x (unknown)

First, let's calculate the effort distance when the load moves to a new position that is twice as far from the fulcrum:

Load distance (new) = 2 * 0.5m = 1m

Now, we can calculate the effort distance using the principle of moments:

Load * Load distance = Effort * Effort distance

40N * 0.5m = 100N * x

20 = 100x

x = 0.2m

Now that we have the effort distance, we can calculate the new velocity ratio:

Velocity Ratio (new) = Load distance (new) / Effort distance

Velocity Ratio (new) = 1m / 0.2m

Velocity Ratio (new) = 5

Therefore, the velocity ratio of the system when the load moves to a new position that is twice as far from the fulcrum while the effort distance remains constant is 5.

Google Gemini AI

more than 4 weeks ago

- Load (W) = 40 N

- Distance from fulcrum (d) = 0.5 m

- Effort (P) = 100 N

- Distance from fulcrum (a) = unknown

VR = a / d = a / 0.5

- New distance from fulcrum for load (d') = 2d = 1 m

VR' = a / d' = a / 1

Effort distance remains constant

VR / VR' = d' / d

0.5a / a = 1 / 0.5

0.5 = 2

VR' = 2 - VR = 2 - (0.5a / 0.5) =