Rotation Ques 65
- A solid sphere is in pure rolling motion on an inclined surface having inclination $\theta$
$(2006,5\ M)$
(a) frictional force acting on sphere is $f=\mu m g \cos \theta$
(b) $f$ is dissipative force
(c) friction will decrease its angular velocity and decrease its linear velocity
(d) If $\theta$ decreases, friction will decrease
Numerical Value Based Question
Show Answer
Answer:
Correct Answer: 65.(c, d)
Solution:
Formula:
- In case of pure rolling,
$$ \begin{alignedat} & f=\frac{m g \sin \theta}{1+\frac{m R^{2}}{I}} \\ \therefore \quad & f \propto \sin \theta \end{aligned} $$
Therefore, as $\theta$ decreases, the force of friction will also decrease.
BETA
