AP EAMCET20227 Jul 2022Morning ShiftPhysicsLaws of MotionActual
Consider three masses m₁, m₂ and m₃ (m₁>m₂>m₃ ) are at rest on a horizontal plane as shown in the figure. Now the angle of inclination ( ) of the plane is gradually increased until the masses just begin to slide. (Assume the coefficient of static friction between the masses and the surface is constant). Then the correct statement of the following is
Options
- Am₃ begins to slide at a higher inclination angle than m₁ and m₂ .
- Bm₃ begins to slide at a lower inclination angle than m₁ and m₂ .
- Cm₁, m₂ and m₃ begins to slide at the same inclination angle.
- Dm₂ begins to slide at a higher inclination angle than m₁ and m₃ .
Correct answer
C. m₁, m₂ and m₃ begins to slide at the same inclination angle.
Step-by-step solution
An object started to slide down an inclined plane when angle of incline (also called angle of repose) is just equals to angle of friction. Let = angle at which a mass started to slide down an incline. Then, force of friction = downward force . aligned & N & =m g & m g & =m g aligned aligned & & & = & & & = ⁻¹ aligned Hence, angle does not depend on mass of body. So all three masses slides down at same instant at same inclination angle ( ) .