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Question
Using Principle of Virtual Work, determine the force P which will keep the weightless bar AB in equilibrium. Take length AB as 2m and length AC as 8m. The bar makes an angle of 30° with horizontal. All the surfaces in contact are smooth. Refer Figure 9.
Solution
| Active force | Co-ordinate of point of application | Virtual displacement |
| -P | 8cos(30) | -8sin(30)dɵ |
| -800 | 6sin(30) | 6cos(30)dɵ |
By principle of Virtual Work,
ΣW = 0
-P(-8sin(30)dɵ)-800(6cos(30)dɵ)=0
P = 1039.23N
The magnitude of the force P is 1038.23N.
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