Directions : In the following question more than one of the answers given may be correct. Select the correct answer and mark it according to the code:
A solid sphere is in pure rolling motion on an inclined surface having inclination\[\theta \]. Then:
(1) friction will increase its angular velocity and decrease its linear velocity (2) if\[\theta \]decreases, friction will decrease (3) frictional force acting on sphere is \[f=\mu \] \[mg\cos \theta \] (4)\[f\]is dissipative force
A) 1 and 2 are correct
B) 2 and 3 are correct
C) 1 and 4 are correct
D) 1, 2 and 3 are correct
Correct Answer: A
Solution :
In case of pure rolling, \[f=\frac{mg\sin \theta }{\frac{1+m{{R}^{2}}}{1}}\] (upwards) \[\therefore \] \[f\propto \sin \theta \] Therefore, as\[\theta \]decreases force of friction will decrease. Also due to friction its linear velocity decreases and angular velocity increases.
You need to login to perform this action.
You will be redirected in
3 sec
