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The Pulley And Belt Program

 The Pulley And Seatbelt System Analysis Paper

The Pulley-Belt Program

WAWY

FKP, UMP

Sept. 2010 2013

Pulley and seatbelt are mechanised " transmission” elements. Being a system, they transmit force-torque, velocity, tangential acceleration, angular acceleration, slanted velocity and angular location between pulleys. Figure 1 . 0 under is a photo of a pulley-belt system.

Physique 1: A photo of an real pulley-belt system application. The purpose of a pulley-belt system is to manipulate the " motion”. By manipulating, we mean changing the motion magnitude and direction. Among the changing direction is demonstrated in Figure 2 . Mentioning Figure 2, the value of the shift, velocity and acceleration of mass A is the same as mass B nevertheless the direction differs from the others. Mass A is going horizontally whilst mass B is shifting vertically.

mother

mB

Figure 2: An example of motion changing direction utilizing a pulley program. Using a pulley-belt system, we are able to also change the motion value without changing direction. Simply by carefully selecting the most appropriate pulley size and configuration settings, we can alter displacement, acceleration and acceleration of a pulley-belt system.

1 ) 0

Information about pulley-belt program

Figure a few below can be described as schematic of a pulley-belt program.

VB

VA

A

B

B

B

A

A

rA

Pulley

a A N

a B N

a A T

rB

a M T

Belt

Figure 3: A simple pulley-belt system

Here are a few facts about the program:

The power or perhaps energy flow is usually constant, or perhaps is thought constant (assume no energy loss as a result of heat, intended for example). The principle " energy can be not developed nor destroyed” is still relevant here. The motion on the contact points between your pulley plus the belt will be equal. They are really moving with each other because all of us assume simply no slipping happens between the belt and pulley. Referring to Determine 4 beneath, point A is a shared point between pulley plus the belt. Therefore, they have a similar velocity and tangential velocity.

r

Belt

Pulley

A

VA

l

r

A

A

VETERANS ADMINISTRATION

Belt

SE TILL ATT DU AR

Pulley

Figure 4: Point A can be described as shared level between the pulley and the belt. 

Speed and tangential acceleration variation are the same along the devices because the devices are believed to be inextensible (and likewise incompressible! ). If the speed is different around the belts, then your belt is going to stretch or perhaps compress. Notice that it is the degree that is means not the direction as can be seen in the Figure a few.

VB

Sixth is v A  VB

VA

rA

rB

a A T

Sixth is v A  VB

a B T

Figure five: Speed and acceleration is the same at any point on the seatbelt. 

The magnitude in the normal speeding can be diverse between the pulleys as demonstrated in Determine 6. Yet , both indicated towards the centre of rotation.

Pulley

rA

a A N

rB

a W N

Seatbelt

Figure 6: Normal speeding is different between the pulleys.

2 . 0

Angular Situation

One wave of pulley A will never make one particular revolution of pulley M since the radius of the pulley is not really equal. Consider the system in Figure six below.

SOCIAL FEAR  SB

rB

S i9000 B  rB N

B

rA

S A  rA A

A

SA  SB

Figure 7: Slanted displacement of a pulley-belt program

Whenever pulley A revolves  A amount, the belt is usually moving with S A amount of displacement. The same amount of shift is spun by pulley B. As a result, we have:

S A  rA A

S N  rB B

SOCIAL FEAR  TRAFIC TRAVIS

rA A  rB B

From the above relation, the angular placement between pulley A and pulley M is given below.

 A rB

 B rA

Spot the inverse relationship between the radius and the slanted displacement. The greater pulley can be " rotationally” smaller.

three or more. 0

Slanted Velocity

Considering that the velocity over the belt is the same, relation between angular velocities could be derived as shown beneath.

V A  VB

 A r A   B rB

 A rB

 M rA

Spot the inverse romance between the radius and the angular velocity. The larger pulley can be " rotationally” slower.

some. 0

Angular Acceleration

TANGENTIAL angular speeding between pulley A and...

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