- #1
Monsterboy
- 303
- 96
Homework Statement
[/B]
A ball rests in a trough as shown in figure. Determine the angle of tilt ##\theta## with the horizontal so that the reactive force at B will be one-third at A if all surfaces are perfectly smooth.
2.Relevant equations
Application of Lami's theorem and some algebra and geometry
3.The attempt at a solution
I tried to derive an relation between ## \theta ## and the Ratio between the reactions Ra and Rb ,so at ##\theta## =00 the ratio between the reactions is one and at a particular ##\theta## the ratio becomes 3. The relation goes like this ##f(\theta) = x\frac{Ra}{Rb} ## where ##x## is a constant
This didn't lead me anywhere because there are too many unknowns.
Another equation i can think of is ##\theta ##= x(Ra-Rb) so at ##\theta =0 ## , Ra =Rb at what ##\theta## will Ra=3Rb?? The required angle ##\theta= x(2Rb) ## and ##x= \frac{\theta}{2Rb}##
I don't see this going anywhere either.
Is this the right way to go ?