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JEE Advanced 2006
Exam
JEE Advanced
Year
2006
Subject
Physics
Chapter
Rotational Motion

JEE Advanced 2006 · Physics · Rotational Motion

A solid sphere is in pure rolling motion on an inclined surface...

A solid sphere is in pure rolling motion on an inclined surface having inclination θ\theta. A solid sphere is in pure rolling motion on an inclined surface having inclination θ .

Options

  1. Africtional force acting on sphere is f=μmgcos⁡θf=\mu m g \cos \theta
  2. Bff is disspative force
  3. Cfriction will increase its angular velocity and decreases its linear velocity
  4. DIf θ\theta decreases, friction will decrease

Correct answer

C. friction will increase its angular velocity and decreases its linear velocity

Step-by-step solution

In case of pure rolling, f=mgsin⁡θ1+mR2I∴f∝sin⁡θ\begin{aligned}& f=\frac{m g \sin \theta}{1+\frac{m R^2}{I}}\\ \therefore & f \propto \sin \theta \end{aligned}(upwards)Therefore,asupwards) Therefore, as\theta$ decreases force of friction will also decrease.
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