- #1
Sanchayan Dutta
- 21
- 0
Determine the maximum ratio $$h/b$$ for which the homogenous block will slide without toppling under the action of force F.The coefficient of static friction between the block and the incline is $$\mu_s$$.
I have a doubt.About which point should the rotational equilibrium be applied?Should it be applied about centre of mass?Or should it be applied about the vertex opposite to the vertex where F is applied?Why?
**MY ATTEMPT:**
**Translational Equations**
$$F+mg\sin(\theta) \geq \mu N$$
and $$N=mgcos(\theta)$$
**Rotational Equations**
This is where I'm facing a problem.Depending upon which point the equilibrium is applied the required ratio will be obtained.
**MY VIEWS:**
Rotational equilibrium should hold at all points if no toppling/rotation happens.However the answer varies depending on the point of application of equilibrium.Strange.
I have a doubt.About which point should the rotational equilibrium be applied?Should it be applied about centre of mass?Or should it be applied about the vertex opposite to the vertex where F is applied?Why?
**MY ATTEMPT:**
**Translational Equations**
$$F+mg\sin(\theta) \geq \mu N$$
and $$N=mgcos(\theta)$$
**Rotational Equations**
This is where I'm facing a problem.Depending upon which point the equilibrium is applied the required ratio will be obtained.
**MY VIEWS:**
Rotational equilibrium should hold at all points if no toppling/rotation happens.However the answer varies depending on the point of application of equilibrium.Strange.