Question:
A solid sphere is in pure rolling motion on an inclined surface having inclination $?$
A solid sphere is in pure rolling motion on an inclined surface having inclination $?$
Updated On: June 02, 2025
- frictional force acting on sphere is $f=\mu mg cos?$
- f is dissipative force
- friction will increase its angular velocity and decrease its linear velocity
- If $?$ decreases, friction will decrease
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The Correct Option is D
Solution and Explanation
In case of pure rolling,
$f=\frac{mg sin ?}{1+\frac{mR^2}{I}}$ (upwards)
$\therefore f?sin ?$
Therefore, as 0 decreases force of friction will also decrease.
$f=\frac{mg sin ?}{1+\frac{mR^2}{I}}$ (upwards)
$\therefore f?sin ?$
Therefore, as 0 decreases force of friction will also decrease.
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Concepts Used:
System of Particles and Rotational Motion
- The system of particles refers to the extended body which is considered a rigid body most of the time for simple or easy understanding. A rigid body is a body with a perfectly definite and unchangeable shape.
- The distance between the pair of particles in such a body does not replace or alter. Rotational motion can be described as the motion of a rigid body originates in such a manner that all of its particles move in a circle about an axis with a common angular velocity.
- The few common examples of rotational motion are the motion of the blade of a windmill and periodic motion.