In what direction should the thread be pulled to minimise the force required to hold the cylinder? What is the magnitude of this force?

Q. A solid cylinder of mass $m$ is kept in balance on a fixed incline of angle $\alpha ={37}^{\circ }$ with the help of a thread fastened to its jacket. The cylinder does not slip. What will be the value of force $F$ that is required to keep the cylinder in balance when the thread is held vertically?

Q. A solid cylinder of mass $m$ is kept in balance on fixed incline of angle $\alpha ={37}^{\circ }$ with the help of a thread fastened to its jacket. The cylinder does not slip.
In what direction should the thread be pulled to minimize the force required to hold the cylinder ? What is the magnitude of this force ?

Q. A solid cylinder of mass m is kept in balance on a fixed incline of angle $\alpha ={37}^{\circ }$ with the help of a thread fastened to its jacket. The cylinder does not slip.
In what direction should the thread be pulled to a minimize the force required to hold the cylinder? What is the magnitude of this force?

Q. A wheel having mass $m$ has charges $+q$ and $-q$ fixed at diametrically opposite ends. For the wheel to be in equilibrium on a rough inclined plane in the presence of uniform vertical electric field $E$ is

Q.

A block, kept on ground, requires 10 N of horizontal force to just start moving. If we apply a force of 5 N on the block in horizontal direction, what will be the magnitude of frictional force acting on it?