How to calculate the force at the free end of pulley block

1. Find the tension of a line, that is, the tension acting on the free end of the rope< When the friction is not considered, the total tension of
n rope is NF = (g dynamic + G material)
the tension acting on the free end of the rope is f = (1 / N) (g dynamic + G material)

2. The moving distance of power end is related to the number of load-bearing rope segments - if the number of load-bearing rope segments is n and the weight rises h, then s = NH

the key is to find out the number of load-bearing rope segments

for reference only!

3. Unknown_Error

4. Mechanical efficiency is useful work divided by total work.

5.

The movable pulley is reversed. Regardless of the weight of moving pulley: F = 2G; Consider the weight of moving pulley: F-G moving = 2G object. As shown in the figure

6. Speed of pulley block object v object, H = V object t rope free end rising speed V rope, s = V rope t because s = NH so V rope = NV object
please adopt the answer and support me.

7. Without considering friction, the work done by pulling force (power) is equal to the sum of the work done by overcoming the object and the work done by overcoming the gravity of moving pulley
that is, w pull = (g object + G moving) h, h is the height of the object and the moving pulley
if there are n sections of rope in the pulley block, then the moving distance of the free end of the rope is s = n h, and the pulling force is f
then f * s = (g object + G moving) H
so f = (g object + G moving) H / S = (g object + G moving) / n

8.

Vertical pulley block: the number of rope segments on the movable pulley is n

the relationship of force: F = gtotal / n

if it is an ideal situation, ignore the gravity, rope weight and friction of the movable pulley: F = g / N; if it is an actual situation, consider the gravity of the movable pulley: F = (G + G1) / n

distance relation: S = NH (satisfied in both actual and ideal situations) speed relation: v = nv1 (satisfied in both actual and ideal situations) mechanical efficiency
η= W have / W total = GH / Fs = g / NF, η= W you / W total = w you / (w you + W extra) = g / (G + G dynamic) horizontal pulley block: the number of rope segments on the dynamic pulley is n

the tension at the free end of the rope is f, and the resistance of the object is f. The free end of the rope moves s and the object moves S1. The relation of force: F = f / N, distance: S = NS1, velocity: v = nv1

extended data:

free end of pulley block rope:

pulley block is made of several fixed pulleys and movable pulleys, which can save labor and change the direction of force. In use, the amount of labor saved and the winding method of the rope depend on the use effect of the pulley block. The principle of rope winding is: when the number of fixed pulley and movable pulley is equal, the free end of the rope can come out from the driven pulley or from the fixed pulley, and when it comes out from the fixed pulley, the fixed end of the rope is hung on the fixed pulley; When the driven pulley comes out, the fixed end of the rope is hung on the movable pulley. The number difference between fixed pulley and movable pulley shall not exceed 1

When the number of them is not equal, the free end of the rope comes out from the more side, and the fixed end of the rope hangs on the less side. When the movable pulley is fixed, when the fixed end of the rope is hung on the movable pulley, the pulley block is less labor-saving than when the fixed end of the rope is hung on the fixed pulley (because there are more sections of the rope to bear the weight)

let n be the number of rope segments to bear the weight of the object (for example, the pulley block on the left side is n = 5, and the pulley block on the right side is n = 4), then n segments of rope can be equipped with N or n-1 pulleys. When n wheels are equipped, the number of movable pulleys and fixed pulleys is equal, and the fixed end of the rope is on the fixed pulley; With n-1 pulleys, n is odd, and the fixed end of the rope is on the movable pulley

when using the pulley block, the weight is borne by several ropes, and the force used to lift the object is a fraction of the weight of the object

source of reference: network pulley

9. Here, if the mechanical efficiency is not considered,
G person = 500N, so there are at least 2300 / 500 ≈ 4.6 strands of rope. At this time, take 5. Because the person is standing on the ground, the end of the rope should be downward, so at least 5 pulleys, three fixed pulleys, two movable pulleys and the driven pulley are needed to lift the rope, As for the picture, you can draw it yourself
the actual tension at the free end of the rope is f = g object / N = 2300 / 5 = 460n
the rope is 5 strands, so if the object rises 3M, the rope moves freely s = NH = 5 * 3 = 15m
at this time, the rope has an upward tension of 460n on people, so the pressure on the ground is f = g person-f pull = 500-460 = 40n

10. As long as the pulley block is involved, you can count the rope, which pulley block pulls things will count the rope drops, such as what pulley block pulls things, etc. the rising distance of the free end is: the rising height of the object x the number of rope segments, because the pulley block saves the distance, and the saved force is f / the number of rope segments, So the distance between the two is the number of rope segments, x h, and the meal you owe will be paid back