Circular MotionHard
Question
An insect crawls up a hemishperical surface very slowly (see the figure). The coefficient of friction between the surface and the insect is 1/3. If the line joinging of the center of the hemispherical surface to the insect makes an angle α with verticle, the maximum possible value of α is given
Options
A.cos α = 3
B.tan α = 3
C.sec α = 3
D.cosec α = 3
Solution
Equilibrium of insect gives
N = mg cos α .....(i)
μ N = mg sin α .....(ii)
From equation (i) and (ii), we get
cos α = 1/μ = 3
Create a free account to view solution
View Solution FreeMore Circular Motion Questions
The given figure shows a wheel of radius 1m which rotates about the axis shown in the figure. A rope is wound on this wh...A particle moves in a circle of radius 5 cm with constant speed and time periof 0.2 π s. The accleration of the par...A spherically symmetric gravitational system of particles has a mass density ρ = where ρ0 is a constant. A tes...During the circular motion with constant speed :...A Toy cart attached to the end of an unstretched string of length a, when revolved moves on a smooth horizontal table in...