Frictionless pulley, Mechanical Engineering

Frictionless pulley:

The frictionless pulley A is being supported by two bars AB and AC which are hinged at points B and C to a vertical wall. The flexible cable DG which is hinged at D goes over pulley and supports a load of 20KN at G. The angle between various members shown in the figure given below. Determine forces in AB and AC. Neglect size of the pulley.             

Sol.: Here system is jib-crane. Thus Member CA is in compression and AB is in tension. As shown in the given figure.

Cable DG goes over frictionless pulley, so Tension in AD = Tension in AG = 20KN

Free body diagram of the system is as shown in the given figure 

∑H = 0

sin30° - sin60° - 20 sin60° = 0

0.5 P - 0.866T = 17.32KN 

416_Frictionless pulley.png

Pcos30° + Tcos60° - 20 - 20cos60° = 0

0.866P + 0.5T = 30KN                                                                                       ...(ii)

Multiply by the equation (i) by 0.5 , we obtain

0.25P - 0.433T = 8.66                                                                                        ...(iii)

Multiply by the equation (ii) by 0.866 , we obtain

0.749P + 0.433T = 25.98                                                                                       ...(iv)

Add the equation (i) and (ii), we obtain

P = 34.64KN                                          .......ANS

Putting the value of P in equation (i), we obtain

17.32 - 0.866T = 17.32

T = 0                                                         .......ANS


Posted Date: 10/17/2012 5:55:03 AM | Location : United States







Related Discussions:- Frictionless pulley, Assignment Help, Ask Question on Frictionless pulley, Get Answer, Expert's Help, Frictionless pulley Discussions

Write discussion on Frictionless pulley
Your posts are moderated
Related Questions
Illustrated about the term bending moment? Bending Moment The critical section for bending moment for masonry or concrete block walls is half-way between the centre line and

Idle Circuit : During Idling while the throttle valve is almost closed the vacuum is very high at Venturi area and no air-fuel mixture is drawn through the main circuit, as t

Control Cables: Never bend or distort control cables. This will lead to stiff operation and premature cable failure. Rubber Parts: Beware of parts containing O-rings or oil s

please tell me names of machine involed in making sewing machine table with their work involved...

Benefits of Registration: Units would normally get registered to avail some benefits, incentives or support given either by the Central or State Govt. The regime of incentives off

describe about pendulum pump mechanism and diagram

what is magnetostriction?

Disk requests come in to the disk driver for cylinders 10, 22, 20, 2, 40, 6, and 38, in that order. A seek takes 6 mes per cylinder moved. How much seek time is needed for (a) F

The figure shows a "square cavity flow". In this flow the cavity is filled with a fluid and the lid of the cavity moves with a constant velocity, while the other walls remain stati

Determine moment of this normal force - rectangular beam: A rectangular beam contains a width of 100 mm and a depth of 200 mm. This is utilized as a simply supported beam & th