Question

The left-hand end of a slender uniform rod of mass m is placed against a vertical wall. The rod is held in a horizontal position by friction at the wall and by a light wire that runs from the right-hand end of the rod to a point on the wall above the rod. The wire makes an angle θ with the rod.

a)What must the magnitude of the friction force be in order for the rod to remain at rest? Express your answer in terms of some or all of the variables m, g, θ.

b)If the coefficient of static friction between the rod and the wall is μs, what is the maximum angle between the wire and the rod at which the rod doesn't slip at the wall? Express your answer in terms of some or all of the variables m, g, θ, μs.

Answer 1

use Tsing bak Balancing net torque about o mol = Tsino & 14 caso T= mg 2 sino Baloncing net vertical mg =f+ Tsino = Lock force fis friction force Shit f = mg - mg xsino 2sino (b) Normal force = No. Baloncing Net horizontal force A N= Tcoso - RG N= Ms T coso =Mg mg coso 2sino also tong = m = Mg mg caso - tor (M) 2 xsing