3/20 The winch takes in cable at the rate of 200 mm/s, and this rate is momentarily increasing at 500 mm/s each second. Determine the tensions in the three cables. Neglect the weights of the pulleys.

The tension in the cable = 993.5 N

The tension in the cable  496.75  N

The tension in the cable = 248.375 N

Explanation:

The diagram attached below depicts the full understanding of what the question is all about.

Now, obtaining the length of cable 1 from the diagram; we have:

where;

= distance from the fixed point to point B

= distance from the fixed point to pulley A

From the cable 2 as well.we obtain its length

where :

distance from the fixed point to the weight attached to the pulley

Let differentiate equation (1) in order to deduce a relation between the velocities of A and B with respect to time ;

Since is constant ; Then:

where;

velocity at point B

= velocity at pulley A

Let differentiate equation (2) as well in order to deduce a relation between the velocities of W and A with respect to time :

Since is constant ; Then:

where;

the velocity of the weight

Let differentiate equation (3) in order to deduce a relation between accelerations A and B with respect to time  

where;

= acceleration at A

acceleration at B

Replacing 0.5 m/s ² for in equation (5); then

Let differentiate equation (4) in order to deduce a relation between W and A with respect to time

where;

= acceleration of weight W

Replacing - 0.25 m/s² for

From the second diagram, if we consider the equilibrium of forces acting on the cylinder in y-direction; we have:

where;

m= mass of the cylinder = 100 kg

= tension in the string = ???

g = acceleration due to gravity = 9.81 m/s²

= acceleration of the cylinder =

Plugging all values into above equation; we have

(100 × 9.81) - = 100(-0.125)

= 993.5 N

∴ The tension in the cable = 993.5 N

From the third diagram, if we consider the equilibrium of forces acting on the cylinder in y-direction on the pulley ; we have:

where ;

= tension in cable 2

Replacing 993.5 N for ; we have

∴ The tension in the cable

From the fourth  diagram, if we consider the equilibrium of forces acting on the cylinder in y-direction on the pulley A ; we have

where;

= tension in  cable 1

Replacing 496.75 N for in the above equation; we have:

= 248.375 N

∴ The tension in the cable = 248.375 N

nec chapter 5 contains

c. information on special occupancy areas

nec chapter 6 covers

a. special equipment

which of the following rules contain the words shall or shall not and must be adhered to?

b. mandatory rules

which of the following rules identify actions that are allowed but not required and typically cover options or alternative methods?

c. optional rules

which of the following serves as the introduction to the nec and provides an overview of the book?

a. nec article 90

organizations that test products for safety are

c. nrtls

the nec is published by the

a national fire protection association

the nec is divided into

b. 9 chapters

the nec provides informative annexes for

c. informational materials and examples

two terms from nec article 100 that trainees should become familiar with are

b. labeled and listed

explanation:

he . if i may ask what i your question exactly?

explanation: