In an ore-mixing operation, a bucket full of ore is suspended from a traveling crane which moves along a stationary bridge. the bucket is to swing no more than 20 ft horizontally when the crane is brought to a sudden stop. determine the maximum allowable speed v of the crane. (round the final answer to two decimal places.

To solve the problem, you should first convert the 20ft to meters so it is much easier.

20 feet is equals to 6 meters; rounded off to the nearest whole number.

Solution:

V1 = v

V2 = 0

T1 = ½ mv^2

T2 – 0

U 1-2 = -mgh

d = 6m

--AB^2 = (10m)^2 = d^2 + y^2 = (6m)^2 = y^2

Y^2 = 100 – 36 = 64

Y = sqrt64

h = 10 – y = 10 – sqrt64 = 10 – 8 = 2 m

U 1- 2 = -m (9.81) (2) = -19.62

T1 + U1-2 = T2

1/2mv^2 – 19.62m = 0

v^2 = (2) (19.62) = 39.24

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electromagnetic shielding is the practice of reducing the electromagnetic field in a space by blocking the field with barriers made of conductive or magnetic materials. shielding is typically applied to enclosures to isolate electrical devices from their surroundings, and to cables to isolate wires from the environment through which the cable runs. electromagnetic shielding that blocks radio frequency electromagnetic radiation is also known as rf shielding.

the shielding can reduce the coupling of radio waves, electromagnetic fields and electrostatic fields. a conductive enclosure used to block electrostatic fields is also known as a faraday cage. the amount of reduction depends very much upon the material used, its thickness, the size of the shielded volume and the frequency of the fields of interest and the size, shape and orientation of apertures in a shield to an incident electromagnetic

from wikipedia